Condensation and Metastability in the 2D Potts Model

For the first order transition of the Ising model below $T_c$, Isakov has proven that the free energy possesses an essential singularity in the applied field. Such a singularity in the control parameter, anticipated by condensation theory, is believed to be a generic feature of first order transitions, but too weak to be observable. We study these issues for the temperature driven transition of the $q$ states 2D Potts model at $q>q_c=4$. Adapting the droplet model to this case, we relate its parameters to the critical properties at $q_c$ and confront the free energy to the many informations brought by previous works. The essential singularity predicted at the transition temperature leads to observable effects in numerical data. On a finite lattice, a metastability domain of temperatures is identified, which shrinks to zero in the thermodynamical limit. ~Comment: 32 pages, 6 figures, Late

Dimensional reduction in QCD: Lessons from lower dimensions

In this contribution we present the results of a series of investigations of dimensional reduction, applied to SU(3) gauge theory in 2 + 1 dimensions. We review earlier results, present a new reduced model with Z(3) symmetry, and discuss the results of numerical simulations of this model.Comment: 10 pages, Talk given at Workshop on Finite Density QCD, Nara Japan 10-12 Jul 200

Large q expansion of the 2D q-states Potts model

We present a recursive method to calculate a large q expansion of the 2d q-states Potts model free energies based on the Fortuin-Kasteleyn representation of the model. With this procedure, we compute directly the ordered phase partition function up to order 10 in 1/sqrt{q}. The energy cumulants at the transition can be obtained with suitable resummation and come out large for q less or around 15. As a consequence, expansions of the free energies around the transition temperature are useless for not large enough values of q. In particular the pure phase specific heats are predicted to be much larger, at q < 15, than the values extracted from current finite size scaling analysis of extrema, whereas they agree very well with recent values extracted at the transition point.Comment: 31 pages (tex) including 15 figures (Postscript

Age-gender peculiarities of drinks categorization

The problem of categorization of drinks to sample survey of German and Russian adolescentsyesBelgorod State Universit

Lexicographic resources applicability in studying the contemporary state of a fragment of the picture of the world

On the basis of a multidimensional study of 300 respondents studied lexicographical resources and their impact on the current state of the world picture fragmentyesBelgorod State Universit

Multiaspect approach to the study of a fragment of the picture of the world

Shows the comprehensiveness of bringing into play a complex of empirical methods that allows to study not only the composition and organization of a concept, its position within the picture of the world, blit also to reveal the newest trends of its development to clarify its socio psychological background, to retrace corresponding stereotypes, systems of norms and valuesyesBelgorod State Universit

Drinks in national and group pictures of the world

The present paper shows the differences in representation of drinks at the level of the national and different age-gender group pictures of the world. Analysis of collected lexicographical and empirical material reveals a wide discrepancy between national and group-level systems of drinks denominationsyesBelgorod State Universit

Comparing the same stimulus associative fields fixed in different historical periods : technique application case study

The data of an associative experiment can be consolidated in the form of an associative dictionary which is a unique research tool helping to describe collective “ordinary” consciousness of native speakers, public “mental climate”. It should be noted in this regard that “the interest in the study of the dynamics of language consciousness on the material of comparative analysis of the associative fields dif-fering in the time of fixation has grown nowadays”ye

Existential concepts in the Russian naïve picture of the world: dynamics revealed through diachronic comparative study of associative fields

The subject matter of concepts of culture is of great interest and topicality to researchers in the fields of linguoculturology and cognitive linguisticsye