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We consider a ferromagnetic Ising chain evolving under Kawasaki dynamics at zero temperature. We investigate the statistics of the metastable configurations in which the system gets blocked (statistics of energy, spin correlations,…

Statistical Mechanics · Physics 2009-11-07 G. De Smedt , C. Godreche , J. M. Luck

Thermodynamic properties of a spin ice model on a Kagom\'e lattice are obtained from dynamic simulations and compared with properties in square lattice spin ice. The model assumes three-component Heisenberg-like dipoles of an array of…

Strongly Correlated Electrons · Physics 2015-06-22 G. M. Wysin , A. R. Pereira , W. A. Moura-Melo , C. I. L. de Araujo

We study the $k$-NN hard core lattice gas model in which the first $k$ next nearest neighbor sites of a particle are excluded from occupation by other particles on a two dimensional square lattice. This model is the lattice version of the…

Statistical Mechanics · Physics 2016-06-22 Trisha Nath , R. Rajesh

When a two-dimensional system undergoes a rapid quench from a disordered to an ordered phase, it does not order instantly but instead relaxes towards equilibrium over time. During this relaxation, the dynamical scaling hypothesis predicts…

Quantum Gases · Physics 2023-10-26 Richard Tattersall , Andrew Baggaley , Thomas Billam

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

A general system of particles (of one or several species) on a one dimensional lattice with boundaries is considered. Two general behaviors of such systems are investigated. The stationary behavior of the system, and the dominant way of the…

Statistical Mechanics · Physics 2015-06-24 Mohammad Khorrami , Amir Aghamohammadi

We investigate the dynamics of a 2D Ising model on a square lattice with conservative Kawasaki dynamics in the bulk, coupled with two external reservoirs that pull the dynamics out of equilibrium. Two different mechanisms for the action of…

Statistical Mechanics · Physics 2019-06-26 M. Colangeli , C. Giberti , C. Vernia , M. Kröger

Starting from a master equation in a quantum Hamilton form we study analytically a nonequilibrium system which is coupled locally to two heat bathes at different temperatures. Based on a lattice gas description an evolution equation for the…

Statistical Mechanics · Physics 2007-05-23 Steffen Trimper , Simone Artz

We investigate a driven diffusive lattice gas model with two oppositely moving species of particles. The model is motivated by bi-directional traffic of ants on a pre-existing trail. A third species, corresponding to pheromones used by the…

Biological Physics · Physics 2009-11-11 Ambarish Kunwar , Debashish Chowdhury , Andreas Schadschneider , Katsuhiro Nishinari

We consider both equilibrium and kinetic aspects of the phase separation (``thermal faceting") of thermodynamically unstable crystal surfaces into a hill--valley structure. The model we study is an Ising lattice gas for a simple cubic…

Condensed Matter · Physics 2009-10-22 Joel D. Shore , Dirk Jan Bukman

We explore the transport properties of an interacting Fermi gas in a three-dimensional optical lattice. The center of mass dynamics of the atoms after a sudden displacement of the trap minimum is monitored for different interaction…

Strongly Correlated Electrons · Physics 2007-12-05 Niels Strohmaier , Yosuke Takasu , Kenneth Günter , Robert Jördens , Michael Köhl , Henning Moritz , Tilman Esslinger

We study the dynamics of vortices in a Bose-Einstein condensate within a rotating four-site lattice which can be effectively described by a multimode model. Such a vortex dynamics develops along the low-density paths that separate the…

Quantum Gases · Physics 2025-03-24 P. Capuzzi , D. M. Jezek

In this paper, we consider a class of mechanical models which consists of a linear chain of identical chaotic cells, each of which has two small lateral holes and contains a rotating disk at its center. Particles are injected at…

Mathematical Physics · Physics 2008-08-25 Jean-Pierre Eckmann , Philippe A. Jacquet

The critical behavior of driven lattice gas models has been studied for decades as a paradigm to explore nonequilibrium phase transitions and critical phenomena. However, there exists a long-standing controversy in the universality classes…

Statistical Mechanics · Physics 2019-09-04 Yahui Li , Zhongda Zeng , Fan Zhong

Theoretical advances in the study of non-equilibrium phenomena are briefly reviewed with emphasis on steady state properties of one-dimensional driven lattice gases. The presentation is focused on the totally asymmetric simple-exclusion…

Statistical Mechanics · Physics 2008-03-19 J. G. Brankov , N. C. Pesheva , N. Zh. Bunzarova

The time evolution of temperatures of anisotropic nanoparticles in two and three-body systems are simulated for various relative orientations. Nanoparticles are immersed in a thermal bath at constant temperature. It is shown that in…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Moladad Nikbakht

We obtain exact travelling wave solutions for three families of stochastic one-dimensional nonequilibrium lattice models with open boundaries. These solutions describe the diffusive motion and microscopic structure of (i) of shocks in the…

Statistical Mechanics · Physics 2009-11-10 K. Krebs , F. H. Jafarpour , G. M. Schütz

We investigate the thermodynamic properties of a toy model of glasses: a hard-core lattice gas with nearest neighbor interaction in one dimension. The time-evolution is Markovian, with nearest-neighbor and next-nearest neighbor hoppings,…

Statistical Mechanics · Physics 2015-05-19 Deepak Dhar , Joel L. Lebowitz

We study the dynamics of non interacting thermal atoms embedded in structured optical lattices with non trivial geometry. The lattice would be generated by two counter propagating modes with parabolic cylindrical symmetry and we concentrate…

Quantum Physics · Physics 2011-01-24 R. Pérez-Pascual , B. M. Rodríguez-Lara , R. Jáuregui

Driven lattice gases are widely regarded as the paradigm of collective phenomena out of equilibrium. While such models are usually studied with nearest-neighbor interactions, many empirical driven systems are dominated by slowly decaying…

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