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The phase transition of a fluid adsorbed in a heterogeneous system is studied with two simple lattice gas models within the framework of a mean-field theory. Despite the different origin of the heterogeneity (spatial variation of binding…

Statistical Mechanics · Physics 2007-05-23 E. V. Vakarin , W. Dong , J. P. Badiali

When liquid-crystalline elastomers pass through the isotropic-nematic transition, the orientational order parameter and the elastic strain vary rapidly but smoothly, without the expected first-order discontinuity. This broadening of the…

Soft Condensed Matter · Physics 2007-05-23 Jonathan V. Selinger , B. R. Ratna

We show that a one-dimensional ordered fermionic lattice system with power-law-decaying hopping, when connected to two baths at its two ends with different chemical potentials at zero temperature, features two phases showing sub-diffusive…

Mesoscale and Nanoscale Physics · Physics 2021-12-15 Archak Purkayastha , Madhumita Saha , Bijay Kumar Agarwalla

The Bell-Lavis model for liquid water is investigated through numerical simulations. The lattice-gas model on a triangular lattice presents orientational states and is known to present a highly bonded low density phase and a loosely bonded…

Statistical Mechanics · Physics 2015-05-13 Carlos E. Fiore , Marcia Szortyka , Marcia C. Barbosa , Vera B. Henriques

We study the contact process on layered networks in which each layer is unidirectionally coupled to the next layer. Each layer has elements sitting on i) Erd{\"o}s-R{\'e}yni network, ii) a $d$-dimensional lattice. The layer at the top which…

Statistical Mechanics · Physics 2022-07-20 Manoj C. Warambhe , Ankosh D. Deshmukh , Prashant M. Gade

A model for nonequilibrium wetting in 1+1 dimensions is introduced. It comprises adsorption and desorption processes with a dynamics which generically does not obey detailed balance. Depending on the rates of the dynamical processes the…

Statistical Mechanics · Physics 2009-10-31 Haye Hinrichsen , Roberto Livi , David Mukamel , Antonio Politi

A lattice gas with infinite repulsion between particles separated by $\leq 1$ lattice spacing, and nearest-neighbor hopping dynamics, is subject to a drive favoring movement along one axis of the square lattice. The equilibrium (zero drive)…

Statistical Mechanics · Physics 2009-10-31 Ronald Dickman

The phase diagram and critical behavior of scalar quantum electrodynamics are investigated using lattice gauge theory techniques. The lattice action fixes the length of the scalar (``Higgs'') field and treats the gauge field as non-compact.…

High Energy Physics - Lattice · Physics 2019-08-17 M. Baig , H. Fort , JB Kogut , S. Kim

In the present contribution we consider a singular phase field system located in a smooth and bounded three-dimensional domain. The entropy balance equation is perturbed by a logarithmic nonlinearity and by the presence of an additional…

Analysis of PDEs · Mathematics 2017-07-10 Pierluigi Colli , Michele Colturato

We propose a unifying theoretical framework for the analysis of first-passage time distributions in two important classes of stochastic processes in which the diffusivity of a particle evolves randomly in time. In the first class of…

Statistical Mechanics · Physics 2019-11-05 D. S. Grebenkov

Nonequilibrium phase transitions between an active and an absorbing state are found in models of populations, epidemics, autocatalysis, and chemical reactions on a surface. While absorbing-state phase transitions fall generically in the DP…

Statistical Mechanics · Physics 2009-11-07 Ronald Dickman

The thermodynamics of the $q$-state Potts model with arbitrary $q$ on a class of hierarchical lattices is considered. Contrary to the case of the crystal lattices, it has always the second-order phase transitions. The analytical expressions…

Disordered Systems and Neural Networks · Physics 2009-11-10 P. N. Timonin

A renormalization group treatment of the Kondo model with logarithmic Van Hove singularity in the electron density of states is performed within next-leading order scaling, different magnetic phases being considered. The effective coupling…

Strongly Correlated Electrons · Physics 2017-09-05 V. Yu. Irkhin

On the basis of a lattice gas model and the convolution formula with cell construction scheme, we demonstrate that intermittency in the rapidity-space with respect to the scaled moments comes from a phase transition between ordered phase…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. R. Nakamura , K. Kudo , T. Hashimoto , I. Yoneda

Extremal dynamics represents a path to self-organized criticality in which the order parameter is tuned to a value of zero. The order parameter is associated with a phase transition to an absorbing state. Given a process that exhibits a…

Statistical Mechanics · Physics 2009-11-10 Ronald Dickman , Guilherme J. M. Garcia

The transition to an absorbing phase in a spatiotemporal system is a well-investigated nonequilibrium dynamic transition. The absorbing phase transitions fall into a few universality classes, defined by the critical exponents observed at…

Statistical Mechanics · Physics 2025-09-10 Priyanka D. Bhoyar , Govindan Rangarajan , Prashant M. gade

Alloys with a first-order magnetic transition are central to solid-state refrigeration technology, sensors and actuators, or spintronic devices. The discontinuous nature of the transition in these materials is a consequence of the coupling…

We consider a two dimensional model of non-interacting chains of spinless fermions weakly coupled via a small inter-chain hopping and a repulsive inter-chain interaction. The phase diagram of this model has a surprising feature: an abrupt…

Strongly Correlated Electrons · Physics 2015-05-18 Sam T. Carr , Jorge Quintanilla , Joseph J. Betouras

Experiments of periodically sheared colloidal suspensions or soft amorphous solids display a transition from reversible to irreversible particle motion that, when analysed stroboscopically in time, is interpreted as an absorbing phase…

Soft Condensed Matter · Physics 2022-03-14 Romain Mari , Eric Bertin , Cesare Nardini

We study the phase diagram of a system of $2\times 2\times 1$ hard plates on the three dimensional cubic lattice, {\em i.e.} a lattice gas of plates that each cover an elementary plaquette of the cubic lattice and occupy its four vertices,…

Statistical Mechanics · Physics 2023-07-12 D. Mandal , G. Rakala , K. Damle , D. Dhar , R. Rajesh