Ordering near the percolation threshold in models of two-dimensional interacting bosons with quenched dilution

Randomly diluted quantum boson and spin models in two dimensions combine the physics of classical percolation with the well-known dimensionality dependence of ordering in quantum lattice models. This combination is rather subtle for models that order in two dimensions but have no true order in one dimension, as the percolation cluster near threshold is a fractal of dimension between 1 and 2: two experimentally relevant examples are the O(2) quantum rotor and the Heisenberg antiferromagnet. We study two analytic descriptions of the O(2) quantum rotor near the percolation threshold. First a spin-wave expansion is shown to predict long-ranged order, but there are statistically rare points on the cluster that violate the standard assumptions of spin-wave theory. A real-space renormalization group (RSRG) approach is then used to understand how these rare points modify ordering of the O(2) rotor. A new class of fixed points of the RSRG equations for disordered one-dimensional bosons is identified and shown to support the existence of long-range order on the percolation backbone in two dimensions. These results are relevant to experiments on bosons in optical lattices and superconducting arrays, and also (qualitatively) for the diluted Heisenberg antiferromagnet La-2(Zn,Mg)(x)Cu1-xO4.

A simple classical approach for the melting temperature of inert-gas nanoparticles

Like the metal and semiconductor nanoparticles, the melting temperature of free inert-gas nanoparticles decreases with decreasing size. The variation is linear with the inverse of the particle size for large nanoparticles and deviates from the linearity for small nanoparticles. The decrease in the melting temperature is slower for free nanoparticles with non-wetting surfaces, while the decrease is faster for nanoparticles with wetting surfaces. Though the depression of the melting temperature has been reported for inert-gas nanoparticles in porous glasses, superheating has also been observed when the nanoparticles are embedded in some matrices. By using a simple classical approach, the influence of size, geometry and the matrix on the melting temperature of nanoparticles is understood quantitatively and shown to be applicable for other materials. It is also shown that the classical approach can be applied to understand the size-dependent freezing temperature of nanoparticles.

Hyveiden harjoittaminen : edellytykset ja esteet

In the first half of the 20th century, most moral philosophers took the concept of virtue to be secondary to moral principles or emotions, though in various and mutually conflicting ways. In the early 1960s interest in the virtues was restored by the analytic philosophers Elizabeth Anscombe and Georg Henrik von Wright, the younger colleagues and friends of the late Wittgenstein. Later, Alasdair MacIntyre became a leading virtue ethicist. In 1981, MacIntyre introduced in After Virtue the concept of practices, which he based on the Aristotelian distinction between praxis and poiesis. This dissertation examines MacIntyre s characterization of the interconnectedness between practices and virtues, especially in relation to skills, education, and certain emotions. The primary position of the virtues is defended against the tendency in modern moral philosophy to overemphasize the role either of principles and rules or of emotions. The view according to which rational action and acting according to the virtues is best conceptualized as following rules or principles is criticized by arguments that are grounded by some Wittgensteinian observations, and that can be characterized as transcendental. Even if the virtues cannot be defined by, and are not based entirely on, emotions, the role of certain emotions on the learning and education of skills and virtues are studied more carefully than by MacIntyre. In the cases of resentment, indignation, and shame, the analysis of Peter Strawson is utilized, and in the case of regret, the analysis of Bernard Williams. Williams analysis of regret and moral conflict concludes in a kind of antirealism, which this study criticizes. Where education of practices and skills and the related reactive emotions are examined as conditions of learning and practicing the virtues, institutions and ideologies are examined as obstacles and threats to the virtues. This theme is studied through Karl Marx s conception of alienation and Karl Polanyi s historical and sociological research concerning the great transformation . The study includes six Finnish-published articles carrying the titles Our negative attitudes towards other persons , Authority and upbringing , Moral conflicts, regret and ethical realism , Practices and institutions , Doing justice as condition to communal action: a transcendental argument for justice as virtue , and Alienation from practices in capitalist society: Alasdair MacIntyre s Marxist Aristotelianism . The introductory essay sums up the themes of the articles and presents some central issues of virtue ethics by relating the classical Socratic questions to Aristotelian practical philosophy, as well as to current controversies in metaethics and moral psychology.

Signal characterization using fractal dimension

Fractal Dimensions (FD) are one of the popular measures used for characterizing signals. They have been used as complexity measures of signals in various fields including speech and biomedical applications. However, proper interpretation of such analyses has not been thoroughly addressed. In this paper, we study the effect of various signal properties on FD and interpret results in terms of classical signal processing concepts such as amplitude, frequency, number of harmonics, noise power and signal bandwidth. We have used Higuchi's method for estimating FDs. This study may help in gaining a better understanding of the FD complexity measure itself, and for interpreting changing structural complexity of signals in terms of FD. Our results indicate that FD is a useful measure in quantifying structural changes in signal properties.

“And now to the rest of the trash…” Representations of begging Roma and an ideal society in two Nordic newspapers

Since begging East European Roma became a common view in the streets of larger Nordic cities, vivid discussions about their presence and activities have been carried out in the mass media. This thesis examines the public debates in Finland and Norway through a discursive analysis and comparison of press content from the two countries. The aim of the study is firstly to identify the prominent discourses which construct certain images of the beggars, as well as the elements and internal logics that these discourses are constructed around. But in addition to scrutinizing representations of the Roma, also an opposite perspective is applied. In accordance with the theoretical concept of ‘othering’, debates about ‘them’ are assumed to simultaneously reveal something significant about ‘us’. The second research question is thus what kind of images of the ideal Finnish and Norwegian societies are reflected in the data, and which societal values are salient in these images. The analysis comprises 79 texts printed in the main Finnish and Norwegian quality newspapers; Helsingin Sanomat and Aftenposten. The data consists of news articles, editorials, columns and letters to the editor from a three-month period in the summer of 2010. The analysis was carried out within the theoretical and methodological framework of critical discourse analysis as outlined by Norman Fairclough. A customized nine-step coding scheme was developed in order to reach the most central dimensions of the texts. Seven main discourses were identified; the Deprivation-solidarity, Human rights, Order, Crime, Space and majority reactions, Authority control, and Authority critique discourse. These were grouped into two competing normative stances on what an ideal society looks like; the exclusionary and the inclusionary stance. While the exclusionary stance places the begging Roma within a frame of crime, illegitimate use of public space and threat to the social order, the other advocates an attitude of solidarity and humanitarian values. The analysis points to a dominance of the former, although it is challenged by the latter. The Roma are “individualized” by quoting and/or presenting them by name in a fair part of the Finnish news articles. In Norway, the opposite is true; there the beggars are dominantly presented as anonymous and passive. Overall, the begging Roma are subjected to a double bind as they are faced with simultaneous expectations of activity and passivity. Theories relating to moral panics and ‘the good enemy’ provide for a deepened understanding of the intensity of the debates. Keywords: East European Roma, begging, media, newspapers, Helsingin Sanomat, Aftenposten, critical discourse analysis, Norman Fairclough, othering, ideal society, moral panics, good enemy, double bind, Finland, Norway

Activation barriers for d.c. conductivity in ionic glasses: Classical calculations using the small-cluster approximation

A small-cluster approximation has been used to calculate the activation barriers for the d.c. conductivity in ionic glasses. The main emphasis of this approach is on the importance of the hitherto ignored polarization energy contribution to the total activation energy. For the first time it has been demonstrated that the d.c. conductivity activation energy can be calculated by considering ionic migration to a neighbouring vacancy in a smali cluster of ions consisting of face-sharing anion polyhedra. The activation energies from the model calculations have been compared with the experimental values in the case of highly modified lithium thioborate glasses.

Hydrogen Storage Capacity of Carbon-Foams: Grand Canonical Monte Carlo Simulations

Hydrogen storage in the three-dimensional carbon foams is analyzed using classical grand canonical Monte Carlo simulations. The calculated storage capacities of the foams meet the material-based DOE targets and are comparable to the capacities of a bundle of well-separated similar diameter open nanotubes. The pore sizes in the foams are optimized for the best hydrogen uptake. The capacity depends sensitively on the C-H-2 interaction potential, and therefore, the results are presented for its ``weak'' and ``strong'' choices, to offer the lower and upper bounds for the expected capacities. Furthermore, quantum effects on the effective C-H-2 as well as H-2-H-2 interaction potentials are considered. We find that the quantum effects noticeably change the adsorption properties of foams and must be accounted for even at room temperature.

Post-transcriptional Repair of a Split Heat Shock Protein 90 Gene by mRNA trans-Splicing

Heat shock protein 90 participates in diverse biological processes ranging from protein folding, cell cycle, signal transduction and development to evolution in all eukaryotes. It is also critically involved in regulating growth of protozoa such as Dictyostelium discoideum, Leishmania donovani, Plasmodium falciparum, Trypanosoma cruzi, and Trypanosoma evansi. Selective inhibition of Hsp90 has also been explored as an intervention strategy against important human diseases such as cancer, malaria, or trypanosomiasis. Giardia lamblia, a simple protozoan parasite of humans and animals, is an important cause of diarrheal disease with significant morbidity and some mortality in tropical countries. Here we show that the G. lamblia cytosolic hsp90 ( glhsp90) is split in two similar sized fragments located 777 kb apart on the same scaffold. Intrigued by this unique arrangement, which appears to be specific for the Giardiinae, we have investigated the biosynthesis of GlHsp90. We used genome sequencing to confirm the split nature of the giardial hsp90. However, a specific antibody raised against the peptide detected a product with a mass of about 80 kDa, suggesting a post-transcriptional rescue of the genomic defect. We show evidence for the joining of the two independent Hsp90 transcripts in-trans to one long mature mRNA presumably by RNA splicing. The splicing junction carries hallmarks of classical cis-spliced introns, suggesting that the regular cis-splicing machinery may be sufficient for repair of the open reading frame. A complementary 26-nt sequence in the ``intron'' regions adjacent to the splice sites may assist in positioning the two pre-mRNAs for processing. This is the first example of post-transcriptional rescue of a split gene by trans-splicing.

E. C. G. Sudarshan and Symmetry in Classical Dynamics, Optics and Quantum Mechanics

We review work initiated and inspired by Sudarshan in relativistic dynamics, beam optics, partial coherence theory, Wigner distribution methods, multimode quantum optical squeezing, and geometric phases. The 1963 No Interaction Theorem using Dirac's instant form and particle World Line Conditions is recalled. Later attempts to overcome this result exploiting constrained Hamiltonian theory, reformulation of the World Line Conditions and extending Dirac's formalism, are reviewed. Dirac's front form leads to a formulation of Fourier Optics for the Maxwell field, determining the actions of First Order Systems (corresponding to matrices of Sp(2,R) and Sp(4,R)) on polarization in a consistent manner. These groups also help characterize properties and propagation of partially coherent Gaussian Schell Model beams, leading to invariant quality parameters and the new Twist phase. The higher dimensional groups Sp(2n,R) appear in the theory of Wigner distributions and in quantum optics. Elegant criteria for a Gaussian phase space function to be a Wigner distribution, expressions for multimode uncertainty principles and squeezing are described. In geometric phase theory we highlight the use of invariance properties that lead to a kinematical formulation and the important role of Bargmann invariants. Special features of these phases arising from unitary Lie group representations, and a new formulation based on the idea of Null Phase Curves, are presented.

Generalised one-dimensional burgers'equation in relativistic fluiddynamics

This work deals with the effects of weak nonlinearity and weak dissipation on a linear wave in relativistic gasdynamics. Using perturbation and asymptotic expansions, a relativistic analogue of generalised one-dimensional Burgers' equation of classical gasdynamics is derived to describe far-field description of the wave. Steady state solution is presented for strict one-dimensional case.

Crossover dynamics at large metastability in gas-liquid nucleation

We have developed an alternate description of dynamics of nucleation in terms of an extended set of order parameters. The order parameters consist of an ordered set of kth largest clusters, ordered such that k = 1 is the largest cluster in the system, k = 2 is the second largest cluster, and so on. We have derived an analytic expression for the free energy for the kth largest cluster, which is in excellent agreement with the simulated results. At large supersaturation, the free energy barrier for the growth of the kth largest cluster disappears and the nucleation becomes barrierless. The major success of this extended theoretical formalism is that it can clearly explain the observed change in mechanism at large metastability P. Bhimalapuram et al., Phys. Rev. Lett. 98, 206104 (2007)] and the associated dynamical crossover. The classical nucleation theory cannot explain this crossover. The crossover from activated to barrierless nucleation is found to occur at a supersaturation where multiple clusters cross the critical size. We attribute the crossover as the onset of the kinetic spinodal. We have derived an expression for the rate of nucleation in the barrierless regime by modeling growth as diffusion on the free energy surface of the largest cluster. The model reproduces the slower increase in the rate of growth as a function of supersaturation, as observed in experiments.

Squeezed states, metaplectic group, and operator möbius transformations

We present an analysis, based on the metaplectic group Mp(2), of the recently introduced single-mode inverse creation and annihilation operators and of the associated eigenstates of different two-photon annihilation operators. We motivate and obtain a quantum operator form of the classical Mobius or fractional linear transformation. The subtle relation to the two unitary irreducible representations of Mp(2) is brought out. For problems involving inverse operators the usefulness of the Bargmann analytic function representation of quantum mechanics is demonstrated. Squeezing, bunching, and photon-number distributions of the four families of states that arise in this context are studied both analytically and numerically