970 resultados para conformal transformations
Resumo:
We have systematically analyzed six different reticular models with quenched disorder and no thermal fluctuations exhibiting a field-driven first-order phase transition. We have studied the nonequilibrium transition, appearing when varying the amount of disorder, characterized by the change from a discontinuous hysteresis cycle (with one or more large avalanches) to a smooth one (with only tiny avalanches). We have computed critical exponents using finite size scaling techniques and shown that they are consistent with universal values depending only on the space dimensionality d.
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We discuss intrinsic noise effects in stochastic multiplicative-noise partial differential equations, which are qualitatively independent of the noise interpretation (Itô vs Stratonovich), in particular in the context of noise-induced ordering phase transitions. We study a model which, contrary to all cases known so far, exhibits such ordering transitions when the noise is interpreted not only according to Stratonovich, but also to Itô. The main feature of this model is the absence of a linear instability at the transition point. The dynamical properties of the resulting noise-induced growth processes are studied and compared in the two interpretations and with a reference Ginzburg-Landau-type model. A detailed discussion of a different numerical algorithm valid for both interpretations is also presented.
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We study the problem of the partition of a system of initial size V into a sequence of fragments s1,s2,s3 . . . . By assuming a scaling hypothesis for the probability p(s;V) of obtaining a fragment of a given size, we deduce that the final distribution of fragment sizes exhibits power-law behavior. This minimal model is useful to understanding the distribution of avalanche sizes in first-order phase transitions at low temperatures.
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The possibility of local elastic instabilities is considered in a first¿order structural phase transition, typically a thermoelastic martensitic transformation, with associated interfacial and volumic strain energy. They appear, for instance, as the result of shape change accommodation by simultaneous growth of different crystallographic variants. The treatment is phenomenological and deals with growth in both thermoelastic equilibrium and in nonequilibrium conditions produced by the elastic instability. Scaling of the transformed fraction curves against temperature is predicted only in the case of purely thermoelastic growth. The role of the transformation latent heat on the relaxation kinetics is also considered, and it is shown that it tends to increase the characteristic relaxation times as adiabatic conditions are approached, by keeping the system closer to a constant temperature. The analysis also reveals that the energy dissipated in the relaxation process has a double origin: release of elastic energy Wi and entropy production Si. The latter is shown to depend on both temperature rate and thermal conduction in the system.
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Stress-strain trajectories associated with pseudoelastic behavior of a Cu¿19.4 Zn¿13.1 Al (at.%) single crystal at room temperature have been determined experimentally. For a constant cross-head speed the trajectories and the associated hysteresis behavior are perfectly reproducible; the trajectories exhibit memory properties, dependent only on the values of return points, where transformation direction is reverted. An adapted version of the Preisach model for hysteresis has been implemented to predict the observed trajectories, using a set of experimental first¿order reversal curves as input data. Explicit formulas have been derived giving all trajectories in terms of this data set, with no adjustable parameters. Comparison between experimental and calculated trajectories shows a much better agreement for descending than for ascending paths, an indication of a dissymmetry between the dissipation mechanisms operative in forward and reverse directions of martensitic transformation.
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This article reports positron annihilation spectroscopy and calorimetric measurements of the aging behavior in a Cu¿Al¿Be shape memory alloy. An excess of single vacancies is retained in the alloy as a result of a quench. All vacancies in excess disappear after long aging time, and a migration energy EM = 1.0±0.1 eV for this process has been found to be larger than in other Cu-based shape memory alloys. The good correlation found for the concentration of vacancies and the shift in the martensitic transition temperature demonstrates that, in Cu¿Al¿Be, changes in the transition after a quench are deeply related to the excess of vacancies.
Resumo:
In this work we develop the canonical formalism for constrained systems with a finite number of degrees of freedom by making use of the PoincarCartan integral invariant method. A set of variables suitable for the reduction to the physical ones can be obtained by means of a canonical transformation. From the invariance of the PoincarCartan integral under canonical transformations we get the form of the equations of motion for the physical variables of the system.
Resumo:
Molar heat capacities of the binary compounds NiAl, NiIn, NiSi, NiGe, NiBi, NiSb, CoSb and FeSb were determined every 10 K by differential scanning calorimetry in the temperature range 310-1080 K. The experimental results have been fitted versus temperature according to C-p = a + b . T + c . T-2 + d . T-2. Results are given, discussed and compared to estimations found in the literature. Two compounds, NiBi and FeSb, are subject to transformations between 460 and 500 K. (C) 1999 Elsevier Science Ltd. All rights reserved.
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PURPOSE: We investigated the influence of beam modulation on treatment planning by comparing four available stereotactic radiosurgery (SRS) modalities: Gamma-Knife-Perfexion, Novalis-Tx Dynamic-Conformal-Arc (DCA) and Dynamic-Multileaf-Collimation-Intensity-Modulated-radiotherapy (DMLC-IMRT), and Cyberknife. MATERIAL AND METHODS: Patients with arteriovenous malformation (n = 10) or acoustic neuromas (n = 5) were planned with different treatment modalities. Paddick conformity index (CI), dose heterogeneity (DH), gradient index (GI) and beam-on time were used as dosimetric indices. RESULTS: Gamma-Knife-Perfexion can achieve high degree of conformity (CI = 0.77 ± 0.04) with limited low-doses (GI = 2.59 ± 0.10) surrounding the inhomogeneous dose distribution (D(H) = 0.84 ± 0.05) at the cost of treatment time (68.1 min ± 27.5). Novalis-Tx-DCA improved this inhomogeneity (D(H) = 0.30 ± 0.03) and treatment time (16.8 min ± 2.2) at the cost of conformity (CI = 0.66 ± 0.04) and Novalis-TX-DMLC-IMRT improved the DCA CI (CI = 0.68 ± 0.04) and inhomogeneity (D(H) = 0.18 ± 0.05) at the cost of low-doses (GI = 3.94 ± 0.92) and treatment time (21.7 min ± 3.4) (p<0.01). Cyberknife achieved comparable conformity (CI = 0.77 ± 0.06) at the cost of low-doses (GI = 3.48 ± 0.47) surrounding the homogeneous (D(H) = 0.22 ± 0.02) dose distribution and treatment time (28.4min±8.1) (p<0.01). CONCLUSIONS: Gamma-Knife-Perfexion will comply with all SRS constraints (high conformity while minimizing low-dose spread). Multiple focal entries (Gamma-Knife-Perfexion and Cyberknife) will achieve better conformity than High-Definition-MLC of Novalis-Tx at the cost of treatment time. Non-isocentric beams (Cyberknife) or IMRT-beams (Novalis-Tx-DMLC-IMRT) will spread more low-dose than multiple isocenters (Gamma-Knife-Perfexion) or dynamic arcs (Novalis-Tx-DCA). Inverse planning and modulated fluences (Novalis-Tx-DMLC-IMRT and CyberKnife) will deliver the most homogeneous treatment. Furthermore, Linac-based systems (Novalis and Cyberknife) can perform image verification at the time of treatment delivery.
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In order to study the connections between Lagrangian and Hamiltonian formalisms constructed from aperhaps singularhigher-order Lagrangian, some geometric structures are constructed. Intermediate spaces between those of Lagrangian and Hamiltonian formalisms, partial Ostrogradskiis transformations and unambiguous evolution operators connecting these spaces are intrinsically defined, and some of their properties studied. Equations of motion, constraints, and arbitrary functions of Lagrangian and Hamiltonian formalisms are thoroughly studied. In particular, all the Lagrangian constraints are obtained from the Hamiltonian ones. Once the gauge transformations are taken into account, the true number of degrees of freedom is obtained, both in the Lagrangian and Hamiltonian formalisms, and also in all the intermediate formalisms herein defined.
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We consider a lattice-gas model of particles with internal orientational degrees of freedom. In addition to antiferromagnetic nearest-neighbor (NN) and next-nearest-neighbor (NNN) positional interactions we also consider NN and NNN interactions arising from the internal state of the particles. The system then shows positional and orientational ordering modes with associated phase transitions at Tp and To temperatures at which long-range positional and orientational ordering are, respectively, lost. We use mean-field techniques to obtain a general approach to the study of these systems. By considering particular forms of the orientational interaction function we study coupling effects between both phase transitions arising from the interplay between orientational and positional degrees of freedom. In mean-field approximation coupling effects appear only for the phase transition taking place at lower temperatures. The strength of the coupling depends on the value of the long-range order parameter that remains finite at that temperature.
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We have analyzed a two-dimensional lattice-gas model of cylindrical molecules which can exhibit four possible orientations. The Hamiltonian of the model contains positional and orientational energy interaction terms. The ground state of the model has been investigated on the basis of Karl¿s theorem. Monte Carlo simulation results have confirmed the predicted ground state. The model is able to reproduce, with appropriate values of the Hamiltonian parameters, both, a smectic-nematic-like transition and a nematic-isotropic-like transition. We have also analyzed the phase diagram of the system by mean-field techniques and Monte Carlo simulations. Mean-field calculations agree well qualitatively with Monte Carlo results but overestimate transition temperatures.
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En France, la décentralisation et la territorialisation de l'action publique ont fait des sports de nature un objet d'action publique légitime en donnant naissance à de nouveaux outils de management public dédiés à la concertation et à la planification des usages de la nature. Nés de l'article 52 de la Loi sur le sport modifiée en 2000, la Commission Départementale des Espaces, Sites et Itinéraires relatifs aux sports de nature (CDESI) et le Plan Départemental des Espaces Sites et Itinéraires relatifs aux sports de nature (PDESI) sont des outils de concertation territoriale dédiés à la gestion publique des sports de nature au niveau départemental. Un enjeu de ce travail tient à l'appréhension des transformations de l'action publique en s'attachant à l'étude des dispositifs de concertation sur les sports de nature. Un deuxième enjeu de ce travail s'attache à mettre en évidence les effets de la concertation en analysant les interactions et les différents modes d'engagements des acteurs au cours de la « chose publique en train de se faire » (Cefaï, 2002). Les acteurs s'engagent non seulement dans la concertation comprise comme une activité sociale faite d'interactions, mais ils s'engagent également dans la concertation en tant que processus d'action publique. Aussi, un autre enjeu de ce travail est d'appréhender les effets de la concertation par une analyse processuelle des engagements (Fillieule, 2004) des acteurs et des organisations. En mobilisant les outils conceptuels de la sociologie interactionniste, de la sociologie pragmatique, ainsi que de la sociologie structuraliste, l'analyse des situations interactionnelles a notamment permis d'identifier les procédures de cadrage et les techniques dramaturgiques mises en oeuvre par les interactants, ainsi que les répertoires argumentatifs mobilisés par ces acteurs pendant l « 'épreuve » de la concertation. Les confrontations des points de vue et les justifications des prises de positions des acteurs peuvent faire évoluer la configuration initiale des jeux d'acteurs même si, pour certains, ces changements ne restent parfois qu'éphémères. Les organisations s'engagent dans la concertation en fonction de la revendication d'une légitimité qui est à comprendre comme une forme militantisme institutionnel s'articulant autour de la valorisation d'une expertise militante, environnementale, institutionnelle, ou encore de leur statut de partenaire institutionnel. In France, decentralization and territorialization of public action have made outdoor sports become an object of public policies justifiable by giving birth to new tools of public management dedicated to the public consultation, the dialogue, and the planning of the uses of the landscapes. Indeed, born of article 52 of the Law on sport modified in 2000, the Departmental committee for Spaces, Sites and Routes relative to natural sports ( CDESI) and the Departmental Plan of Spaces Sites and Routes relative to natural sports ( PDESI) are governance tools dedicated to the public management of outdoor sports for counties. A challenge of this work is to understand the changes of public policy by focusing on the study of mechanisms for consultation on outdoor sports. A second item of this work is to highlight the effects of cooperation by focusing on the analysis of interactions and actor's commitments during the "public thing in the making" (Cefaï, 2002). Actors commit themselves not only in the dialogue included as a social activity made by interactions, but they also take part to the dialogue included as a process of public action. Also, another issue of this work is to understand the effects of consultation by a processual approach of individual commitments (Fillieule, 2004) of actors and organizations. Using the conceptual tools of symbolic interactionism, pragmatic sociology, and structuralist sociology, the analysis of interactional situations has highlighted the framing work and procedures implemented by the interactants, as well as the dramaturgical techniques and argumentative directories which, they mobilize during the "test" of the consultation. Confrontation of viewpoints and justifications of interactants' positions can evolve from their initial configuration sets, even if for some of them these changes are sometimes ephemeral. Organizations involve themselves according to demands of legitimacy which, are to understand as a shape institutional militancy articulating around the valuation of a militant, environmental, institutional expertise, or still around their status of institutional partner.