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In the framework of the theoretical model of the phase transition of binary solutions into spatially inhomogeneous states proposed earlier by the autors [1], which takes into account nonlinear effects, the role of the cubic in concentration…

Statistical Mechanics · Physics 2023-03-14 Yu. M. Poluektov , A. A. Soroka

We consider the liquid-vapor type phase transition for fluids confined within spatially periodic external fields. For a fluid in d=3 dimensions, the periodic field induces an additional phase, characterized by large density modulations…

Statistical Mechanics · Physics 2015-03-19 Richard L. C. Vink , A. J. Archer

We introduce a nonequilibrium off--lattice model for anisotropic phenomena in fluids. This is a Lennard--Jones generalization of the driven lattice--gas model in which the particles' spatial coordinates vary continuously. A comparison…

Statistical Mechanics · Physics 2016-08-16 M. Díez--Minguito , P. L. Garrido , J. Marro

A voting model (or a generalization of the Glauber model at zero temperature) on a multidimensional lattice is defined as a system composed of a lattice each site of which is either empty or occupied by a single particle. The reactions of…

Statistical Mechanics · Physics 2007-05-23 F. Roshani , A. Aghamohammadi , M. Khorrami

Forced granular matter in confined geometries presents phase transitions and coexistence. Depending on the system and forcing parameters, liquid-vapor and liquid-solid co-existing states are possible. For the solid-liquid coexistence that…

Soft Condensed Matter · Physics 2025-11-10 Sébastien Aumaître , Nicolas Mujica

Our general subject is the emergence of phases, and phase transitions, in large networks subjected to a few variable constraints. Our main result is the analysis, in the model using edge and triangle subdensities for constraints, of a sharp…

Combinatorics · Mathematics 2017-03-16 Charles Radin , Kui Ren , Lorenzo Sadun

Using Monte Carlo simulation, Van Duijneveldt and Lekkerkerker [Phys. Rev. Lett. 71, 4264 (1993)] found gas-liquid-solid behaviour in a simple two-dimensional lattice model with two types of hard particles. The same model is studied here by…

Statistical Mechanics · Physics 2009-10-31 Alain Verberkmoes , Bernard Nienhuis

For two-dimensional many-particle systems first-order, second-order, single step continuous, as well as two-step continuous (KTHNY-like) melting transitions have been found in previous studies. Recent computer simulations, using particle…

Materials Science · Physics 2014-06-23 Aranka Derzsi , Kovács Anikó Zsuzsa , Zoltán Donkó , Peter Hartmann

In this paper we analyse both the dynamics and the high density physics of the infinite dimensional lattice gas model for random heteropolymers recently introduced in \cite{jort}. Restricting ourselves to site-disordered heteropolymers, we…

Disordered Systems and Neural Networks · Physics 2009-11-07 H. Chakravorty , J. van Mourik , A. C. C. Coolen

We consider a generic two-dimensional system of fermionic particles with attractive interactions and no disorder. If time-reversal symmetry is absent, it is possible to obtain incompressible insulating states in addition to the superfluid…

Superconductivity · Physics 2012-06-12 Predrag Nikolic

We study nonequilibrium phase transitions in a mass-aggregation model which allows for diffusion, aggregation on contact, dissociation, adsorption and desorption of unit masses. We analyse two limits explicitly. In the first case mass is…

Statistical Mechanics · Physics 2009-10-31 Satya N. Majumdar , Supriya Krishnamurthy , Mustansir Barma

A general field-theoretic framework for the treatment of liquid-gas phase transitions is developed. Starting from a fundamental four-dimensional field theory at nonzero temperature and density, an effective three-dimensional field theory…

High Energy Physics - Theory · Physics 2017-04-12 Hiromichi Nishimura , Michael C. Ogilvie , Kamal Pangeni

In experimental systems, colloidal particles are virtually always at least somewhat polydisperse, which can have profound effects on their ability to crystallize. Unfortunately, accurately predicting the effects of polydispersity on phase…

Soft Condensed Matter · Physics 2025-10-09 Antoine Castagnède , Laura Filion , Frank Smallenburg

Strongly correlated amorphous solids are a class of glass-formers whose inter-particle potential admits an approximate inverse power-law form in a relevant range of inter-particle distances. We study the steady-state plastic flow of such…

Materials Science · Physics 2015-05-13 Edan Lerner , Itamar Procaccia

A supersolid is a system that presents long-range order and shear rigidity as a solid but which also supports a non-dissipative superflow as a superfluid. From an effective perspective, supersolids are identified with phases of matter that…

High Energy Physics - Theory · Physics 2022-06-30 Matteo Baggioli , Giorgio Frangi

We review some aspects of current knowledge regarding the decay of metastable phases in many-particle systems. In particular we emphasize recent theoretical and computational developments and numerical results regarding homogeneous…

Condensed Matter · Physics 2016-11-03 P. A. Rikvold , B. M. Gorman

It is discussed how phase transitions of first order (with phase separation and surface tension), continuous transitions and (multi)-critical points can be defined and classified for finite systems from the topology of the energy surface…

Statistical Mechanics · Physics 2007-05-23 D. H. E. Gross , E. Votyakov

Strongly interacting, dynamically disordered and with no small parameter, liquids took a theoretical status between gases and solids. We review different approaches to liquids and propose that liquids do not need classifying in terms of…

Soft Condensed Matter · Physics 2016-01-13 K. Trachenko , V. V. Brazhkin

This article is a continuation of our previous works (see Yukhnovskii I.R. et al., J. Stat. Phys, 1995, 80, 405 and references therein), where we have described the behavior of a simple system of interacting particles in the region of…

Statistical Mechanics · Physics 2013-07-09 I. R. Yukhnovskii , V. O. Kolomiets , I. M. Idzyk

Hard core lattice gas models are minimal models to study entropy driven phase transitions. In the $k$-NN lattice gas, a particle excludes all sites upto the $k$-th next-nearest neighbors from being occupied by another particle. As $k$…

Statistical Mechanics · Physics 2022-06-13 Asweel Ahmed A Jaleel , Dipanjan Mandal , Jetin E. Thomas , R. Rajesh