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Boundary-induced transport in particle systems with anomalous diffusion exhibits rectification, negative resistance, and hysteresis phenomena depending on the way the drive acts on the boundary. The solvable case of a 1D system…

Statistical Mechanics · Physics 2009-11-07 Mauro Sellitto

A statistical analysis of the geometries of particle trajectories in the supercooled liquid state is reported. We examine two structurally different fragile glass-forming liquids simulated by molecular dynamics. In both liquids, the…

Soft Condensed Matter · Physics 2008-11-19 Tomas Oppelstrup , Mikhail Dzugutov

Diffusive transport of a particle in spatially correlated random energy landscape having exponential density of states has been considered. We exactly calculate the diffusivity in the nondispersive quasi-equilibrium transport regime and…

Disordered Systems and Neural Networks · Physics 2018-02-14 S. V. Novikov

A lattice model for the study of mixtures of associating liquids is proposed. Solvent and solute are modeled by adapting the associating lattice gas (ALG) model. The nature of interaction solute/solvent is controlled by tuning the energy…

Soft Condensed Matter · Physics 2016-11-03 A. P. Furlan , N. G. Almarza , M. C. Barbosa

The self-diffusion coefficient of a granular gas in the homogeneous cooling state is analyzed near the shearing instability. Using mode-coupling theory, it is shown that the coefficient diverges logarithmically as the instability is…

Statistical Mechanics · Physics 2015-07-02 J. Javier Brey , Maria J. Ruiz-Montero

The ding-a-ling model is a kind of half lattice and half hard-point-gas (HPG) model. The original ding-a-ling model proposed by Casati {\it et.al} does not conserve total momentum and has been found to exhibit normal heat conduction…

Statistical Mechanics · Physics 2016-02-10 Zhibin Gao , Nianbei Li , Baowen Li

Kinetically-constrained models are lattice-gas models that are used for describing glassy systems. By construction, their equilibrium state is trivial and there are no equal-time correlations between the occupancy of different sites. We…

Statistical Mechanics · Physics 2017-03-01 Eial Teomy , Yair Shokef

Using molecular dynamics simulations, we study a spherically-symmetric ``two-scale'' Jagla potential with both repulsive and attractive ramps. This potential displays a liquid-liquid phase transition with a positively sloped coexistence…

Soft Condensed Matter · Physics 2009-11-11 Limei Xu , Isaac Ehrenberg , Sergey V. Buldyrev , H. Eugene Stanley

We study the properties of a one-dimensional (1D) granular gas consisting of $N$ hard rods on a line of length $L$ (with periodic boundary conditions). The particles collide inelastically and are fluidized by a heat bath at temperature…

Statistical Mechanics · Physics 2009-11-10 Fabio Cecconi , Fabiana Diotallevi , Umberto Marini Bettolo Marconi , Andrea Puglisi

We study the phase diagram of a system of spherical particles interacting in three dimensions through a potential consisting of a strict hard core plus a linear repulsive shoulder at larger distances. The phase diagram (obtained…

Statistical Mechanics · Physics 2009-10-31 E. A. Jagla

The spreading of density fluctuations in two-dimensional driven diffusive systems is marginally anomalous. Mode coupling theory predicts that the diffusivity in the direction of the drive diverges with time as $(\ln t)^{2/3}$ with a…

Statistical Mechanics · Physics 2018-03-23 Joachim Krug , Robert A. Neiss , Andreas Schadschneider , Johannes Schmidt

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

While the realistically modeling of the thermodynamic behavior of fluids usually demands elaborated atomistic models, much have been learned from simplified ones. Here, we investigate a model where point-like particles (with activity $z_0$)…

Soft Condensed Matter · Physics 2019-07-15 Nathann T. Rodrigues , Tiago J. Oliveira

The problem of the lattice diffusion of two particles coupled by a contact repulsive interaction is solved by finding analytical expressions of the two-body probability characteristic function. The interaction induces anomalous drift with a…

Condensed Matter · Physics 2009-10-31 Claude Aslangul

We study reversible deterministic dynamics of classical charged particles on a lattice with hard-core interaction. It is rigorously shown that the system exhibits three types of transport phenomena, ranging from ballistic, through diffusive…

Statistical Mechanics · Physics 2017-09-19 Marko Medenjak , Katja Klobas , Tomaz Prosen

This work presents a general thermodynamic approach to describe particle diffusion on a lattice, a model used to study transport processes in solids and on surfaces. By treating each lattice site as an open thermodynamic system, the effects…

Statistical Mechanics · Physics 2026-05-05 Matías A. Di Muro , Miguel Hoyuelos

Energy transport in one-dimensional chains of particles with three conservation laws is generically anomalous and belongs to the Kardar-Parisi-Zhang dynamical universality class. Surprisingly, some examples where an apparent normal heat…

Statistical Mechanics · Physics 2020-09-16 Stefano Lepri , Roberto Livi , Antonio Politi

Transport and diffusion of heat in one dimensional (1D) nonlinear systems which {\it conserve momentum} is typically thought to proceed anomalously. Notable exceptions, however, exist of which the rotator model is a prominent case.…

Statistical Mechanics · Physics 2015-05-05 Yunyun Li , Sha Liu , Nianbei Li , Peter Hanggi , Baowen Li

We consider one component lattice gases with a local dynamics and a stationary product Bernoulli measure. We give upper and lower bounds on the diffusivity at an equilibrium point depending on the dimension and the local behavior of the…

Probability · Mathematics 2015-06-12 Jeremy Quastel , Benedek Valkó

We present an analysis of diffusion in terms of the spontaneous density fluctuations in a non-thermal two-species fluid modeled by a lattice gas automaton. The power spectrum of the density correlation function is computed with statistical…

Statistical Mechanics · Physics 2009-10-30 David Hanon , Jean Pierre Boon