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The adsorbed atoms exhibit tendency to occupy a triangular lattice formed by periodic potential of the underlying crystal surface. Such a lattice is formed by, e.g., a single layer of graphane or the graphite surfaces as well as (111)…

Strongly Correlated Electrons · Physics 2021-05-05 Konrad Jerzy Kapcia

Using simulations and a simple mean-field theory, we investigate jamming transitions in a two-species lattice gas under non-equilibrium steady-state conditions. The two types of particles diffuse with different mobilities on a square…

Statistical Mechanics · Physics 2009-11-10 R. S. Hipolito , R. K. P. Zia , B. Schmittmann

The one-dimensional Kondo lattice model with attractive interaction among the conduction electrons is analyzed in the case of half-filling. It is shown that there are three distinct phases depending on the coupling constants of the model.…

Strongly Correlated Electrons · Physics 2009-10-30 N. Shibata , M. Sigrist , E. Heeb

The microscopic model in which nodes interacting with each other are statistical systems is introduced. The nodes conditions are connected with a string of distinct microscopic configurations and depend on external parameters (pressure and…

Statistical Mechanics · Physics 2007-05-23 V. Stepanov

We study a very simple model of a short-range attraction and an outer shell repulsion as a test system for demixing phase transition and density anomaly. The phase-diagram is obtained by applying mean field analysis and Monte Carlo…

Statistical Mechanics · Physics 2016-08-31 Alan B. de Oliveira , Marcia C. Barbosa

Motivated by recent observations of symmtry broken phases in lightly-doped multilayer graphene, we investigate magnetic phase transitions in a generalized electron gas model with four-component electron spin. This model simplifies the…

Strongly Correlated Electrons · Physics 2025-01-14 Chen-How Huang , Chunli Huang , M. A. Cazalilla

A spin-1 Ising model incorporating positional order to a standard lattice gas with no attractive interactions is introduced and found to be consistent with all known attributes of the freezing transition of the hard-sphere system.…

Statistical Mechanics · Physics 2023-04-03 Jacobo Troncoso , Claudio A. Cerdeiriña

We propose a lattice gas model to account for linear chain structures adsorbed on (112) faces of W and Mo. The model includes a dipole-dipole interaction as well as a long-ranged indirect interaction. We have explicitly demonstrated that…

mtrl-th · Physics 2009-10-28 F. Bagehorn , J. Lorenc , Cz. Oleksy

We study a discrete-space model of active matter with excluded volume. Particles are restricted to the sites of a triangular lattice, and can assume one of three orientations. Varying the density and noise intensity, Monte Carlo simulations…

Statistical Mechanics · Physics 2024-07-03 Tiago Venzel Rosembach , Ana Luiza Novaes Dias , Ronald Dickman

The lattice spin model, with nearest neighbor ferromagnetic exchange and long range dipolar interaction, is studied by the method of time series for observables based on cluster configurations and associated partitions, such as Shannon…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Casartelli , L. Dall'Asta , E. Rastelli , S. Regina

Insights into complex phenomena in quantum matter can be gained from simulation experiments with ultracold atoms, especially in cases where theoretical characterization is challenging. However these experiments are mostly limited to…

The Potts model plays an essential role in classical statistical mechanics, illustrating many fundamental phenomena. One example is the existence of partially long-range-ordered states, in which some degrees of freedom remain disordered.…

Statistical Mechanics · Physics 2014-10-27 M. P. Qin , Q. N. Chen , Z. Y. Xie , J. Chen , J. F. Yu , H. H. Zhao , B. Normand , T. Xiang

I study a dimer model on the square lattice with nearest-neighbor exclusion as the only interaction. Detailed simulations using tomographic entropic sampling show that as the chemical potential is varied, there is a strongly discontinuous…

Statistical Mechanics · Physics 2015-03-20 Ronald Dickman

First, we present a two-dimensional lattice gas model with anisotropic interactions which explains the experimentally observed transition from a dominant c(2x2) ordering of the CdTe(001) surface to a local (2x1) arrangement of the Cd atoms…

Materials Science · Physics 2009-11-07 M. Ahr , M. Biehl , T. Volkmann

The thermodynamic and kinetics of the one dimensional lattice gas with repulsive interaction is investigated using transfer matrix technique and Monte Carlo simulations. This simple model is shown to exhibit waterlike anomalies in density,…

A new class of lattice gas models with trivial interactions but constrained dynamics are introduced. These are proven to exhibit a dynamical glass transition: above a critical density, rho_c, ergodicity is broken due to the appearance of an…

Statistical Mechanics · Physics 2009-11-11 Cristina Toninelli , Giulio Biroli , Daniel S. Fisher

We consider a simple lattice model of a topological phase transition in open polymers. To be precise, we study a model of self-avoiding walks on the simple cubic lattice tethered to a surface and weighted by an appropriately defined writhe.…

Soft Condensed Matter · Physics 2015-06-23 E Dagrosa , A L Owczarek , T Prellberg

The paper contains a development of the previously proposed generalized lattice model (GLM). In contrast to usual lattice models, the difference of the specific atomic volumes of the components is taken in account in GLM. In addition to…

Statistical Mechanics · Physics 2010-03-16 A. Yu. Zakharov , A. A. Schneider , A. L. Udovsky

We present and study lattice and off-lattice microscopic models in which particles interact via a local anisotropic rule. The rule induces preferential hopping along one direction, so that a net current sets in if allowed by boundary…

Statistical Mechanics · Physics 2007-05-23 M. Diez-Minguito , P. L. Garrido , J. Marro

We establish phase transitions for classes of continuum Delaunay multi-type particle systems (continuum Potts models) with infinite range repulsive interaction between particles of different type. In one class of the Delaunay Potts models…

Probability · Mathematics 2016-01-27 Stefan Adams , Michael Eyers