Economic optimization method to design telescope irrigation of multiples outlets

In this study is presented an economic optimization method to design telescope irrigation laterals (multidiameter) with regular spaced outlets. The proposed analytical hydraulic solution was validated by means of a pipeline composed of three different diameters. The minimum acquisition cost of the telescope pipeline was determined by an ideal arrangement of lengths and respective diameters for each one of the three segments. The mathematical optimization method based on the Lagrange multipliers provides a strategy for finding the maximum or minimum of a function subject to certain constraints. In this case, the objective function describes the acquisition cost of pipes, and the constraints are determined from hydraulic parameters as length of irrigation laterals and total head loss permitted. The developed analytical solution provides the ideal combination of each pipe segment length and respective diameter, resulting in a decreased of the acquisition cost.

Magnetic topology and current channels in plasmas with toroidal current density inversions

The equilibrium magnetic field inside axisymmetric plasmas with inversions on the toroidal current density is studied. Structurally stable non-nested magnetic surfaces are considered. For any inversion in the internal current density the magnetic families define several positive current channels about a central negative one. A general expression relating the positive and negative currents is derived in terms of a topological anisotropy parameter. Next, an analytical local solution for the poloidal magnetic flux is derived and shown compatible with current hollow magnetic pitch measurements shown in the literature. Finally, the analytical solution exhibits non-nested magnetic families with positive anisotropy, indicating that the current inside the positive channels have at least twice the magnitude of the central one.

Analisi degli aspetti di qualità nella gestione dei sistemi di drenaggio urbano attraverso modellazione numerica e indagini di campo

In order to protect river water quality, highly affected in urban areas by continuos as intermittent immissions, it is necessary to adopt measures to intercept and treat these polluted flows. In particular during rain events, river water quality is affected by CSOs activation. Built in order to protect the sewer system and the WWTP by increased flows due to heavy rains, CSOs divert excess flows to the receiving water body. On the basis of several scientific papers, and of direct evidences as well, that demonstrate the detrimental effect of CSOs discharges, also the legislative framework moved towards a stream standard point of view. The WFD (EU/69/2000) sets new goals for receiving water quality, and groundwater as well, through an integrated immission/emissions phylosophy, in which emission limits are associated with effluent standards, based on the receiving water characteristics and their specific use. For surface waters the objective is that of a “good” ecological and chemical quality status. A surface water is defined as of good ecological quality if there is only slight departure from the biological community that would be expected in conditions of minimal anthropogenic impact. Each Member State authority is responsible for preparing and implementing a River Basin Management Plan to achieve the good ecological quality, and comply with WFD requirements. In order to cope with WFD targets, and thus to improve urban receiving water quality, a CSOs control strategy need to be implemented. Temporarily storing the overflow (or at least part of it) into tanks and treating it in the WWTP, after the end of the storm, showed good results in reducing total pollutant mass spilled into the receiving river. Italian State Authority, in order to comply with WFD statements, sets general framework, and each Region has to adopt a Water Remediation Plan (PTA, Piano Tutela Acque), setting goals, methods, and terms, to improve river water quality. Emilia Romagna PTA sets 25% reduction up to 2008, and 50% reduction up to 2015 fo total pollutants masses delivered by CSOs spills. In order to plan remediation actions, a deep insight into spills dynamics is thus of great importance. The present thesis tries to understand spills dynamics through a numerical and an experimental approach. A four months monitoring and sampling campaign was set on the Bologna sewer network, and on the Navile Channel, that is the WWTP receiving water , and that receives flows from up to 28 CSOs during rain events. On the other hand, the full model of the sewer network, was build with the commercial software InfoWorks CS. The model was either calibrated with the data from the monitoring and sampling campaign. Through further model simulations interdependencies among masses spilled, rain characteristics and basin characteristics are looked for. The thesis can be seen as a basis for further insighs and for planning remediation actions.

Electrothermal characterization and nonlinear modelling of GaN transistors for telecommunication circuit design

This thesis starts showing the main characteristics and application fields of the AlGaN/GaN HEMT technology, focusing on reliability aspects essentially due to the presence of low frequency dispersive phenomena which limit in several ways the microwave performance of this kind of devices. Based on an equivalent voltage approach, a new low frequency device model is presented where the dynamic nonlinearity of the trapping effect is taken into account for the first time allowing considerable improvements in the prediction of very important quantities for the design of power amplifier such as power added efficiency, dissipated power and internal device temperature. An innovative and low-cost measurement setup for the characterization of the device under low-frequency large-amplitude sinusoidal excitation is also presented. This setup allows the identification of the new low frequency model through suitable procedures explained in detail. In this thesis a new non-invasive empirical method for compact electrothermal modeling and thermal resistance extraction is also described. The new contribution of the proposed approach concerns the non linear dependence of the channel temperature on the dissipated power. This is very important for GaN devices since they are capable of operating at relatively high temperatures with high power densities and the dependence of the thermal resistance on the temperature is quite relevant. Finally a novel method for the device thermal simulation is investigated: based on the analytical solution of the tree-dimensional heat equation, a Visual Basic program has been developed to estimate, in real time, the temperature distribution on the hottest surface of planar multilayer structures. The developed solver is particularly useful for peak temperature estimation at the design stage when critical decisions about circuit design and packaging have to be made. It facilitates the layout optimization and reliability improvement, allowing the correct choice of the device geometry and configuration to achieve the best possible thermal performance.

Atomistic simulations of cosolvent/water mixtures

In this thesis, atomistic simulations are performed to investigate hydrophobic solvation and hydrophobic interactions in cosolvent/water binary mixtures. Many cosolvent/water binary mixtures exhibit non-ideal behavior caused by aggregation at the molecular scale level although they are stable and homogenous at the macroscopic scale. Force-field based atomistic simulations provide routes to relate atomistic-scale structure and interactions to thermodynamic solution properties. The predicted solution properties are however sensitive to the parameters used to describe the molecular interactions. In this thesis, a force field for tertiary butanol (TBA) and water mixtures is parameterized by making use of the Kirkwood-Buff theory of solution. The new force field is capable of describing the alcohol-alcohol, water-water and alcohol-water clustering in the solution as well as the solution components’ chemical potential derivatives in agreement with experimental data. With the new force field, the preferential solvation and the solvation thermodynamics of a hydrophobic solute in TBA/water mixtures have been studied. First, methane solvation at various TBA/water concentrations is discussed in terms of solvation free energy-, enthalpy- and entropy- changes, which have been compared to experimental data. We observed that the methane solvation free energy varies smoothly with the alcohol/water composition while the solvation enthalpies and entropies vary nonmonotonically. The latter occurs due to structural solvent reorganization contributions which are not present in the free energy change due to exact enthalpy-entropy compensation. It is therefore concluded that the enthalpy and entropy of solvation provide more detailed information on the reorganization of solvent molecules around the inserted solute. Hydrophobic interactions in binary urea/water mixtures are next discussed. This system is particularly relevant in biology (protein folding/unfolding), however, changes in the hydrophobic interaction induced by urea molecules are not well understood. In this thesis, this interaction has been studied by calculating the free energy (potential of mean force), enthalpy and entropy changes as a function of the solute-solute distance in water and in aqueous urea (6.9 M) solution. In chapter 5, the potential of mean force in both solution systems is analyzed in terms of its enthalpic and entropic contributions. In particular, contributions of solvent reorganization in the enthalpy and entropy changes are studied separately to better understand what are the changes in interactions in the system that contribute to the free energy of association of the nonpolar solutes. We observe that in aqueous urea the association between nonpolar solutes remains thermodynamically favorable (i.e., as it is the case in pure water). This observation contrasts a long-standing belief that clusters of nonpolar molecules dissolve completely in the presence of urea molecules. The consequences of our observations for the stability of proteins in concentrated urea solutions are discussed in the chapter 6 of the thesis.

Strong semiclassical gravity in the universe and the laboratory

Three published papers are resumed in this thesis. Different aspects of the semiclassical theory of gravity are discussed. In chapter 1 we find a new perturbative (yet analytical) solution to the unsolved problem of the metric junction between two Friedmann-Robertson-Walker using Israel's formalism. The case of an expanding radiation core inside an expanding or collapsing dust exterior is treated. This model can be useful in the "landscape" cosmology in string theory or for treating new gravastar configurations. In chapter 2 we investigate the possible use of the Kodama vector field as a substitute for the Killing vector field. In particular we find the response function of an Unruh detector following an (accelerated) Kodama trajectory. The detector has finite extension and backreaction is considered. In chapter 3 we study the possible creation of microscopic black holes at LHC in the brane world model. It is found that the black hole tidal charge has a fundamental role in preventing the formation of the horizon.

Synthesis, characterization and chemical modification of a cationic polyelectrolyte poly(methylene amine)

Polyamine polymers have attracted attention due to their ability to demonstrate pH dependent cationic nature and presence of highly reactive pendant amino groups. These amino groups make them suitable for a host of applications through cross-linking and derivatization. As a result the end use application of a polyamine is largely driven by the number of amino groups and the way they are attached to the polymer backbone. Thus, this piece of work describes the synthesis and investigation of properties of a novel aliphatic polyamine, poly(methylene amine); that carries maximum number of amino group on its backbone. The target polymer, poly(methylene amine); was synthesized via two major steps viz.1.synthesis of precursor polymers of poly(methylene amine) and 2. Hydrolysis of the precursor polymers to obtain poly(methylene amine). The precursor polymers poly (1,3-diacetylimidazole-2-one)(6) and poly(1,3-diformyldihydroimidazol-2-one)(7) were synthesized via radical polymerization of their respective monomers. The monomers were polymerized in bulk as well as in solution at different reaction conditions. The maximum molecular weights were achieved by polymerizing the monomers in bulk (Mn = 6.5 x 104 g/mol and Mw = 2.13 x 105 g/mol) of 6. The precursor polymers were hydrolyzed under strong reaction conditions in ethanol in presence of NaOH, LiCl at 170°C to yield poly(methylene amine). The process of hydrolysis was monitored by IR spectroscopy. The solution properties of poly(methylene amine) and its hydrochloride were investigated by viscosimetry and light scattering. The reduced viscosity of poly (methylene amine) hydrochloride as a function of polymer concentration demonstrated a behavior typical of cationic polyelectrolyte. With decrease in polymer concentration the reduced viscosity of poly(methylene amine) hydrochloride increased gradually. The dynamic light scattering studies also revealed behaviors of a polyelectrolyte. Poly(methylene amine) was reacted with electrophiles to yield novel materials. While the attachment of alkyl group onto the nitrogen would increase nucleophilicity, it would also impose steric hindrance. As a result the degree of substitution on poly(methylene amine) would be governed by both the factors. Therefore, few model reactions with electrophiles were performed on polvinylamine under similar reaction conditions in order to make a comparative evaluation. It was found that under similar reaction conditions the degree of substitution was higher in case of polyvinylamine in comparison with poly (methylene amine).This shows that the steric hindrance outweighs nucleophilicity while deciding degree of substitution of electrophiles on poly(methylene amine). The modification was further extended to its use as an initiator for ring opening polymerization of benzyloxy protected N-carboxyanhydride of z-Lysine. The resulting polymer had an interesting brush like architecture. The solid state morphology of this polymer was investigated by SAXS. The 2D-WAXS diffractograms revealed hexagonal morphology of peptide segments without formation of alpha helices.

Numerical methods for the dispersion analysis of Guided Waves

The use of guided ultrasonic waves (GUW) has increased considerably in the fields of non-destructive (NDE) testing and structural health monitoring (SHM) due to their ability to perform long range inspections, to probe hidden areas as well as to provide a complete monitoring of the entire waveguide. Guided waves can be fully exploited only once their dispersive properties are known for the given waveguide. In this context, well stated analytical and numerical methods are represented by the Matrix family methods and the Semi Analytical Finite Element (SAFE) methods. However, while the former are limited to simple geometries of finite or infinite extent, the latter can model arbitrary cross-section waveguides of finite domain only. This thesis is aimed at developing three different numerical methods for modelling wave propagation in complex translational invariant systems. First, a classical SAFE formulation for viscoelastic waveguides is extended to account for a three dimensional translational invariant static prestress state. The effect of prestress, residual stress and applied loads on the dispersion properties of the guided waves is shown. Next, a two-and-a-half Boundary Element Method (2.5D BEM) for the dispersion analysis of damped guided waves in waveguides and cavities of arbitrary cross-section is proposed. The attenuation dispersive spectrum due to material damping and geometrical spreading of cavities with arbitrary shape is shown for the first time. Finally, a coupled SAFE-2.5D BEM framework is developed to study the dispersion characteristics of waves in viscoelastic waveguides of arbitrary geometry embedded in infinite solid or liquid media. Dispersion of leaky and non-leaky guided waves in terms of speed and attenuation, as well as the radiated wavefields, can be computed. The results obtained in this thesis can be helpful for the design of both actuation and sensing systems in practical application, as well as to tune experimental setup.

TARWIS - A Testbed Management Architecture for Wireless Sensor Network Testbeds

With research on Wireless Sensor Networks (WSNs) becoming more and more mature in the past five years, researchers from universities all over the world have set up testbeds of wireless sensor networks, in most cases to test and evaluate the real-world behavior of developed WSN protocol mechanisms. Although these testbeds differ heavily in the employed sensor node types and the general architectural set up, they all have similar requirements with respect to management and scheduling functionalities: as every shared resource, a testbed requires a notion of users, resource reservation features, support for reprogramming and reconfiguration of the nodes, provisions to debug and remotely reset sensor nodes in case of node failures, as well as a solution for collecting and storing experimental data. The TARWIS management architecture presented in this paper targets at providing these functionalities independent from node type and node operating system. TARWIS has been designed as a re-usable management solution for research and/or educational oriented research testbeds of wireless sensor networks, relieving researchers intending to deploy a testbed from the burden to implement their own scheduling and testbed management solutions from scratch.

Becoming most fully ourselves : gender, voice, and ritual in dissertations

The writing and defense of the dissertation serve both as demonstration one is able to do the work of a scholar and as a rite of initiation. In contrast to much academic writing, dissertations generally adhere to narrowly conceived notions of academic discourse. I explore this within the context of an academic community in which under-representation remains a serious issue. This dissertation is about women writing dissertations. I draw from conversations with fifteen women, in or beyond, the process; friends’ anecdotes; published accounts; and, autobiographically, my experience. I suggest the dissertation’s initiatory role is at least as important as its scholarly role; during the process one establishes a sense of self as scholar, writer, and researcher. Students come to the dissertation with some notion of self as writer and scholar – a culturally negotiated sense that is more, or less, congruent with the culturally established self required for successful completion of the dissertation. The degree of congruence (or alternatively, harmony and dissonance) shapes the process of doing a dissertation. I argue that both the community and the language in which dissertations must generally be written are gendered masculine. Negotiating a voice that is acceptable in a dissertation while maintain fidelity to a sense of who one is seems more problematic as one’s distance from the center of dominant culture increases. Believing that agency lies in altering the reiteration of such processes, I worked with my committee to find ways to alter the process yet still do a dissertation I write in a variety of voices – essay and poetry as well as analytical – play with visual qualities of text, and experiment with non-verbal interpretations. These don’t exhaust possibilities, but do give a sense of how the rich variety of expression found in academe cam be brought into the dissertation. I thus demonstrate that one need not reconstitute herself through characteristic academic discourse in order to be initiated into the community of scholars. I suggest both the desirability of encouraging flexibility in the language, form, and process, of dissertations, and the theoretical necessity for such flexibility if the academic community is to become diverse. The writing and defense of the dissertation serve both as demonstration one is able to do the work of a scholar and as a rite of initiation. In contrast to much academic writing, dissertations generally adhere to narrowly conceived notions of academic discourse. I explore this within the context of an academic community in which under-representation remains a serious issue. This dissertation is about women writing dissertations. I draw from conversations with fifteen women, in or beyond, the process; friends’ anecdotes; published accounts; and, autobiographically, my experience. I suggest the dissertation’s initiatory role is at least as important as its scholarly role; during the process one establishes a sense of self as scholar, writer, and researcher Students come to the dissertation with some notion of self as writer and scholar – a culturally negotiated sense that is more, or less, congruent with the culturally established self required for successful completion of the dissertation. The degree of congruence (or alternatively, harmony and dissonance) shapes the process of doing a dissertation. I argue that both the community and the language in which dissertations must generally be written are gendered masculine. Negotiating a voice that is acceptable in a dissertation while maintain fidelity to a sense of who one is seems more problematic as one’s distance from the center of dominant culture increases. Believing that agency lies in altering the reiteration of such processes, I worked with my committee to find ways to alter the process yet still do a dissertation I write in a variety of voices – essay and poetry as well as analytical – play with visual qualities of text, and experiment with non-verbal interpretations. These don’t exhaust possibilities, but do give a sense of how the rich variety of expression found in academe cam be brought into the dissertation. I thus demonstrate that one need not reconstitute herself through characteristic academic discourse in order to be initiated into the community of scholars. I suggest both the desirability of encouraging flexibility in the language, form, and process, of dissertations, and the theoretical necessity for such flexibility if the academic community is to become diverse. The writing and defense of the dissertation serve both as demonstration one is able to do the work of a scholar and as a rite of initiation. In contrast to much academic writing, dissertations generally adhere to narrowly conceived notions of academic discourse. I explore this within the context of an academic community in which under-representation remains a serious issue. This dissertation is about women writing dissertations. I draw from conversations with fifteen women, in or beyond, the process; friends’ anecdotes; published accounts; and, autobiographically, my experience. I suggest the dissertation’s initiatory role is at least as important as its scholarly role; during the process one establishes a sense of self as scholar, writer, and researcher Students come to the dissertation with some notion of self as writer and scholar – a culturally negotiated sense that is more, or less, congruent with the culturally established self required for successful completion of the dissertation. The degree of congruence (or alternatively, harmony and dissonance) shapes the process of doing a dissertation. I argue that both the community and the language in which dissertations must generally be written are gendered masculine. Negotiating a voice that is acceptable in a dissertation while maintain fidelity to a sense of who one is seems more problematic as one’s distance from the center of dominant culture increases. Believing that agency lies in altering the reiteration of such processes, I worked with my committee to find ways to alter the process yet still do a dissertation I write in a variety of voices – essay and poetry as well as analytical – play with visual qualities of text, and experiment with non-verbal interpretations. These don’t exhaust possibilities, but do give a sense of how the rich variety of expression found in academe cam be brought into the dissertation. I thus demonstrate that one need not reconstitute herself through characteristic academic discourse in order to be initiated into the community of scholars. I suggest both the desirability of encouraging flexibility in the language, form, and process, of dissertations, and the theoretical necessity for such flexibility if the academic community is to become diverse. The writing and defense of the dissertation serve both as demonstration one is able to do the work of a scholar and as a rite of initiation. In contrast to much academic writing, dissertations generally adhere to narrowly conceived notions of academic discourse. I explore this within the context of an academic community in which under-representation remains a serious issue. This dissertation is about women writing dissertations. I draw from conversations with fifteen women, in or beyond, the process; friends’ anecdotes; published accounts; and, autobiographically, my experience. I suggest the dissertation’s initiatory role is at least as important as its scholarly role; during the process one establishes a sense of self as scholar, writer, and researcher Students come to the dissertation with some notion of self as writer and scholar – a culturally negotiated sense that is more, or less, congruent with the culturally established self required for successful completion of the dissertation. The degree of congruence (or alternatively, harmony and dissonance) shapes the process of doing a dissertation. I argue that both the community and the language in which dissertations must generally be written are gendered masculine. Negotiating a voice that is acceptable in a dissertation while maintain fidelity to a sense of who one is seems more problematic as one’s distance from the center of dominant culture increases. Believing that agency lies in altering the reiteration of such processes, I worked with my committee to find ways to alter the process yet still do a dissertation I write in a variety of voices – essay and poetry as well as analytical – play with visual qualities of text, and experiment with non-verbal interpretations. These don’t exhaust possibilities, but do give a sense of how the rich variety of expression found in academe cam be brought into the dissertation. I thus demonstrate that one need not reconstitute herself through characteristic academic discourse in order to be initiated into the community of scholars. I suggest both the desirability of encouraging flexibility in the language, form, and process, of dissertations, and the theoretical necessity for such flexibility if the academic community is to become diverse.

Parametric combustion modeling for ethanol-gasoline fuelled spark ignition engines

Ethanol-gasoline fuel blends are increasingly being used in spark ignition (SI) engines due to continued growth in renewable fuels as part of a growing renewable portfolio standard (RPS). This leads to the need for a simple and accurate ethanol-gasoline blends combustion model that is applicable to one-dimensional engine simulation. A parametric combustion model has been developed, integrated into an engine simulation tool, and validated using SI engine experimental data. The parametric combustion model was built inside a user compound in GT-Power. In this model, selected burn durations were computed using correlations as functions of physically based non-dimensional groups that have been developed using the experimental engine database over a wide range of ethanol-gasoline blends, engine geometries, and operating conditions. A coefficient of variance (COV) of gross indicated mean effective pressure (IMEP) correlation was also added to the parametric combustion model. This correlation enables the cycle combustion variation modeling as a function of engine geometry and operating conditions. The computed burn durations were then used to fit single and double Wiebe functions. The single-Wiebe parametric combustion compound used the least squares method to compute the single-Wiebe parameters, while the double-Wiebe parametric combustion compound used an analytical solution to compute the double-Wiebe parameters. These compounds were then integrated into the engine model in GT-Power through the multi-Wiebe combustion template in which the values of Wiebe parameters (single-Wiebe or double-Wiebe) were sensed via RLT-dependence. The parametric combustion models were validated by overlaying the simulated pressure trace from GT-Power on to experimentally measured pressure traces. A thermodynamic engine model was also developed to study the effect of fuel blends, engine geometries and operating conditions on both the burn durations and COV of gross IMEP simulation results.

Along-Strike Differences in the Southern Alps of New Zealand: Consequences of Inherited Variation in Rheology

Long- and short-term strain variations along the Australian-Pacific plate boundary through the South Island of New Zealand, including a 300% increase in orogen width, coexistence of oblique thrusting on orthogonal structures, and variability in the locus of orogenic gold deposits, coincide with rheologically relevant geological variation. Our model investigates the consequences of thin, strong lower crust in the north and thick, weak lower crust in the south. Solution of the full 3-D mechanical equations reproduces the larger wavelength strain patterns of the orogen. A 3-D perturbation-based analytical solution leads to the identification of the sensitivity of displacement type to minor stress changes. Transition from boundary-normal thrusting to boundary-parallel thrusting occurs at the transition from strong to weak lower crust and is related to an increase in either tau(yz) (shear stress in the yz plane) or the ratio of the coordinate normal stresses, (sigma(yy)/sigma(xx)), where x and y are in the horizontal and z is vertical. Both mechanisms are compatible with the geologically dependent rheological variation employed in our model. Citation: Upton, P., P. O. Koons, D. Craw, C. M. Henderson, and R. Enlow (2009), Along-strike differences in the Southern Alps of New Zealand: Consequences of inherited variation in rheology, Tectonics, 28, TC2007, doi:10.1029/2008TC002353.

More Than Charged Base Loss — Revisiting the Fragmentation of Highly Charged Oligonucleotides

Tandem mass spectrometry is a well-established analytical tool for rapid and reliable characterization of oligonucleotides (ONs) and their gas-phase dissociation channels. The fragmentation mechanisms of native and modified nucleic acids upon different mass spectrometric activation techniques have been studied extensively, resulting in a comprehensive catalogue of backbone fragments. In this study, the fragmentation behavior of highly charged oligodeoxynucleotides (ODNs) comprising up to 15 nucleobases was investigated. It was found that ODNs exhibiting a charge level (ratio of the actual to the total possible charge) of 100% follow significantly altered dissociation pathways compared with low or medium charge levels if a terminal pyrimidine base (3' or 5') is present. The corresponding product ion spectra gave evidence for the extensive loss of a cyanate anion (NCO–), which frequently coincided with the abstraction of water from the 3'- and 5'-end in the presence of a 3'- and 5'-terminal pyrimidine nucleobase, respectively. Subsequent fragmentation of the MNCO– ion by MS3 revealed a so far unreported consecutive excision of a metaphosphate (PO3–)-ion for the investigated sequences. Introduction of a phosphorothioate group allowed pinpointing of PO3– loss to the ultimate phosphate group. Several dissociation mechanisms for the release of NCO– and a metaphosphate ion were proposed and the validity of each mechanism was evaluated by the analysis of backbone- or sugar modified ONs.

Solution of the relativistic Schrödinger equation for the δ ′ -Function potential in one dimension using cutoff regularization

We study the relativistic version of the Schrödinger equation for a point particle in one dimension with the potential of the first derivative of the delta function. The momentum cutoff regularization is used to study the bound state and scattering states. The initial calculations show that the reciprocal of the bare coupling constant is ultraviolet divergent, and the resultant expression cannot be renormalized in the usual sense, where the divergent terms can just be omitted. Therefore, a general procedure has been developed to derive different physical properties of the system. The procedure is used first in the nonrelativistic case for the purpose of clarification and comparisons. For the relativistic case, the results show that this system behaves exactly like the delta function potential, which means that this system also shares features with quantum filed theories, like being asymptotically free. In addition, in the massless limit, it undergoes dimensional transmutation, and it possesses an infrared conformal fixed point. The comparison of the solution with the relativistic delta function potential solution shows evidence of universality.

Magnetic and electric current morphoiogy in the plasma ejected by a laser-irradiated foil

A quasisteady model for the plasma ablated from a thick foil by a laser pulse, at low $lln $ and R /A i within a low, narrow range, is given (4, is absorbed intensity, /zL wavelength, R focalspot radius). An approximate analytical solution is given for the two-dimensional plasma dynamics. At large magnetic Reynolds number Rm, the morphology of the magnetic field shows features in agreement with recent results for high intensities. Current lines are open: electric current flows toward the spot near its axis, then turns and flows away. The efficiency of converting light energy into electric energy peaks at Rm- 1, both the validity of the model. and accuracy of the solution are discussed, The neighborhood of the spot boundary is analyzed in detail by extending classical Prandtl-Meyer results.