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Two-component mixtures in optical lattices reveal a rich variety of different phases. We employ an exact diagonalization method to obtain the relevant correlation functions in hexagonal optical lattices to characterize those phases. We…

Quantum Gases · Physics 2014-07-23 Marta Prada , Eva-Maria Richter , Daniela Pfannkuche

The driven lattice gas (DLG) evolving at low temperature helps understanding the kinetics of pattern formation in unstable mixtures under anisotropic conditions. We here develop a simple theoretical description of kinetics in Monte Carlo…

Statistical Mechanics · Physics 2009-11-10 Pablo I. Hurtado , J. Marro , Pedro L. Garrido , E. V. Albano

One of the most remarkable observations in dense active matter systems is the appearance of long-range velocity correlations without any explicit aligning interaction (of e.g.\ Vicsek type). Here we show that this kind of long range…

Soft Condensed Matter · Physics 2023-02-28 Leila Abbaspour , Rituparno Mandal , Peter Sollich , Stefan Klumpp

In two recent articles a detailed study has been presented of the out of equilibrium dynamics of an infinite system of self-gravitating points initially located on a randomly perturbed lattice. In this article we extend the treatment of the…

Statistical Mechanics · Physics 2009-11-13 Thierry Baertschiger , Michael Joyce , Francesco Sylos Labini , Bruno Marcos

We study a gas of point particles with hard-core repulsion in one dimension where the particles move freely in-between elastic collisions. We prepare the system with a uniform density on the infinite line. The velocities $\{v_i; i \in…

Statistical Mechanics · Physics 2026-03-12 Aritra Kundu , Abhishek Dhar , Sanjib Sabhapandit

Intracellular transport processes driven by molecular motors can be described by stochastic lattice models of self-driven particles. Here we focus on bidirectional transport models excluding the exchange of particles on the same track. We…

Biological Physics · Physics 2015-05-27 M. Ebbinghaus , C. Appert-Rolland , L. Santen

We study driven particle systems with excluded volume interactions on a two-lane ladder with periodic boundaries, using Monte Carlo simulation, cluster mean-field theory, and numerical solution of the master equation. Particles in one lane…

Statistical Mechanics · Physics 2009-11-13 Ronald Dickman , Ronaldo R. Vidigal

The effects of purely elastic collisions on the dynamics of heavy inertial particles is investigated in a three-dimensional random incompressible flow. It is shown that the statistical properties of inter-particle separations and relative…

Fluid Dynamics · Physics 2015-06-12 Jeremie Bec , Stefano Musacchio , Samriddhi Sankar Ray

Many-body effects on superfluidity and transition temperatures are calculated for optical lattices and uniform systems with ultracold multi-component Fermi gases. The induced interactions depend sensitively on the interactions between the…

Superconductivity · Physics 2009-10-21 H. Heiselberg

We investigate the response of large inertial particle to turbulent fluctuations in a inhomogeneous and anisotropic flow. We conduct a Lagrangian study using particles both heavier and lighter than the surrounding fluid, and whose diameters…

Fluid Dynamics · Physics 2016-04-20 Nathanaël Machicoane , Romain Volk

The transport of motile entities across modulated energy landscapes plays an important role in a range of phenomena in biology, colloidal science and solid-state physics. Here, an easily implementable strategy that allows for the collective…

Soft Condensed Matter · Physics 2020-03-11 Fernando Martínez-Pedrero , Francisco Ortega , Ramón G. Rubio , Carles Calero

Molecular dynamics simulations are used to show that strong magnetization significantly increases the space and time scales associated with interparticle correlations. The physical mechanism responsible is a channeling effect whereby…

Plasma Physics · Physics 2021-04-21 Keith R. Vidal , Scott D. Baalrud

In the Widom-Rowlinson lattice gas, two particle species (A, B) diffuse freely via particle-hole exchange, subject to both on-site exclusion and prohibition of A-B nearest-neighbor pairs. As an athermal system, the overall densities are the…

Statistical Mechanics · Physics 2018-08-01 Ronald Dickman , R. K. P. Zia

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

A cascade of phase transitions from square to hexagonal lattice is studied in 2D system of particles interacting via core-softened potential. Due to the presence of two length-scales of repulsion, different local configurations with four,…

Soft Condensed Matter · Physics 2017-12-14 N. P. Kryuchkov , S. O. Yurchenko , Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

We construct a density functional for the lattice gas / Ising model on square and cubic lattices based on lattice fundamental measure theory. In order to treat the nearest-neighbor attractions between the lattice gas particles, the model is…

Statistical Mechanics · Physics 2021-08-25 M. Maeritz , M. Oettel

Using a path integral approach, we derive and study the hydrodynamic equations and large deviation functions for three active lattice gases. After a review of the path integral for master equations, we first look at a one dimensional model…

Statistical Mechanics · Physics 2024-12-17 Luke Neville

We study the hydrodynamic interactions between colloids suspended in a compressible fluid inside a rigid channel. Using lattice-Boltzmann simulations and a simplified hydrodynamic theory, we find that the diffusive dynamics of density…

Soft Condensed Matter · Physics 2013-02-13 Derek Frydel , Haim Diamant

We study spatial correlations and structure factors in a three-state stochastic lattice gas, consisting of holes and two oppositely ``charged'' species of particles, subject to an ``electric'' field at zero total charge. The dynamics…

Statistical Mechanics · Physics 2009-10-30 G. Korniss , B. Schmittmann

Asymmetric exclusion processes for particles moving on parallel channels with inhomogeneous coupling are investigated theoretically. Particles interact with hard-core exclusion and move in the same direction on both lattices, while…

Statistical Mechanics · Physics 2009-11-13 K. Tsekouras , A. B. Kolomeisky