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Related papers: Hydrodynamics in kinetically-constrained lattice-g…

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In the study of gas dynamics, theoretical modeling and numerical simulation are mostly set up with deterministic settings. Given the coarse-grained modeling in theories of fluids, considerable uncertainties may exist between flow-field…

Computational Physics · Physics 2020-08-07 Tianbai Xiao

Kinetic lattice-gas models display fragile glass behavior, in spite of their trivial Gibbs-Boltzmann measure. This suggests that the nature of glass transition might be, at least in some cases, understood in purely kinetic or dynamical…

Statistical Mechanics · Physics 2009-10-31 Mauro Sellitto

This paper concerns with the hydrodynamic limit of the Kob-Andersen model, an interacting particle system that has been introduced by physicists in order to explain glassy behavior, and widely studies since. We will see that the density…

Probability · Mathematics 2022-09-28 Assaf Shapira

In the present paper we give a brief summary of some recent theoretical advances in the treatment of inhomogeneous fluids and methods which have applications in the study of dynamical properties of liquids in situations of extreme…

Statistical Mechanics · Physics 2015-07-15 Umberto Marini Bettolo Marconi , Simone Melchionna

We investigate the coupled dynamics of charge and energy in interacting lattice models with dipole conservation. We formulate a generic hydrodynamic theory for this combination of fractonic constraints and numerically verify its…

Quantum Gases · Physics 2022-05-31 A. G. Burchards , J. Feldmeier , A. Schuckert , M. Knap

We derive the hydrodynamic limit of a kinetic equation with a stochastic, short range perturbation of the velocity operator. Under some mixing hypotheses on the stochastic perturbation, we establish a diffusion-approximation result: the…

Analysis of PDEs · Mathematics 2020-10-01 Nils Caillerie , Julien Vovelle

We introduce a schematic non-linear diffusion model where density fluctuations induce a rich out of equilibrium dynamics. The properties of the model are studied by numerical simulations and analytically in a mean field approximation. At…

Statistical Mechanics · Physics 2008-07-03 Federico Corberi , Mario Nicodemi , Marina Piccioni , Antonio Coniglio

We present a simple off-lattice hard-disc model that exhibits glassy dynamics. The inherent structures are enumerated exactly, transitions between metabasins are well understood, and the particle configurations that act to facilitate…

Soft Condensed Matter · Physics 2009-11-11 R. K. Bowles , I. Saika-Voivod

We present a lattice-based numerical method to describe the non equilibrium behavior of a simple fluid under non-uniform spatial conditions. The evolution equation for the one-particle phase-space distribution function is derived starting…

Statistical Mechanics · Physics 2009-11-13 S. Melchionna , U. Marini Bettolo Marconi

We propose a model for a two dimensional, associative water-like lattice gas with one single variable representing both long and short-range interactions. The corresponding hamiltonian was solved exactly, by state enumeration in a finite…

Statistical Mechanics · Physics 2011-11-21 Marcelo R. Thielo , Marcia C. B. Barbosa

We explore driven lattice gases for the existence of an intensive thermodynamic variable which could determine "equilibration" between two nonequilibrium steady-state systems kept in weak contact. In simulations, we find that these systems…

Statistical Mechanics · Physics 2015-05-07 Punyabrata Pradhan , Christian P. Amann , Udo Seifert

We study in detail a one-dimensional lattice model of a continuum, conserved field (mass) that is transferred deterministically between neighbouring random sites. The model falls in a wider class of lattice models capturing the joint effect…

Statistical Mechanics · Physics 2023-11-01 Stefano Lepri , Paolo Politi , Arkady Pikovsky

It is known from grand canonical simulations of a system of hard rods on two dimensional lattices that an orientationally ordered nematic phase exists only when the length of the rods is at least seven. However, a recent microcanonical…

Soft Condensed Matter · Physics 2018-02-14 Saugata Patra , Dibyendu Das , R. Rajesh , Mithun K. Mitra

In this paper we investigate, both analytically and numerically, the emergence of a kinetic glass transition in two different model systems: a uniformly heated granular gas and a molecular fluid with nonlinear drag. Despite the profound…

Soft Condensed Matter · Physics 2024-04-25 A. Patrón , B. Sánchez-Rey , A. Prados

We numerically elucidate the microscopic mechanisms controlling the relaxation dynamics of a three-dimensional lattice glass model that has static properties compatible with the approach to a random first-order transition. At low…

Disordered Systems and Neural Networks · Physics 2024-02-09 Yoshihiko Nishikawa , Ludovic Berthier

A nonuniform system is considered consisting of two phases with different densities of particles. At each given time the distribution of the phases in space is chaotic: each phase filling a set of regions with random shapes and locations. A…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , E. P. Yukalova

Dipole-conserving fluids serve as examples of kinematically constrained systems that can be understood on the basis of symmetry. They are known to display various exotic features including glassylike dynamics, subdiffusive transport, and…

Strongly Correlated Electrons · Physics 2023-04-18 Aleksander Głódkowski , Francisco Peña-Benítez , Piotr Surówka

We study analytically the dynamics and the micro-structural changes of a host medium caused by a driven tracer particle moving in a confined, quiescent molecular crowding environment. Imitating typical settings of active micro-rheology…

Statistical Mechanics · Physics 2016-03-17 O. Bénichou , P. Illien , G. Oshanin , A. Sarracino , R. Voituriez

In this contribution we review a series of simple one dimensional lattice models that with an appropriate choice of parameters can account for various anomalous features of the behaviour of complex systems such as water. In particular, we…

Statistical Mechanics · Physics 2015-03-13 Enrique Lomba

It is generally believed that the dynamics of simple fluids can be considered to be chaotic, at least to the extent that they can be modeled as classical systems of particles interacting with short range, repulsive forces. Here we give a…

chao-dyn · Physics 2007-05-23 R. van Zon , H. van Beijeren , J. R. Dorfman
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