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A chain of coupled chaotic elements with different time scales is studied. In contrast with the adiabatic approximation, we find correlations between faster and slower elements when the differences in the time scales of the elements lie…

Chaotic Dynamics · Physics 2007-05-23 Koichi Fujimoto , Kunihiko Kaneko

We study microcanonical lattice gas models with long range interactions, including power law interactions. We rigorously obtain a variational principle for the entropy. In a one dimensional example, we find a first order phase transition by…

Mathematical Physics · Physics 2017-03-08 David Aristoff , Lingjiong Zhu

An ultracold gas of coupled two-component atoms in an optical field is studied. Due to the internal two-level structure of the atoms, three competing energy terms exist; atomic kinetic, atomic internal, and atom-atom interaction energies. A…

Other Condensed Matter · Physics 2009-09-11 Jonas Larson , Jani-Petri Martikainen

Networks of caustics can occur in the distribution of particles suspended in a randomly moving gas. These can facilitate coagulation of particles by bringing them into close proximity, even in cases where the trajectories do not coalesce.…

Statistical Mechanics · Physics 2009-11-10 M. Wilkinson , B. Mehlig

Correlation of interacting particles is studied in their dynamics and localization in ideal and disordered lattice systems with the help of numerical tools. Both 1D and 2D systems are considered. In 1D lattices with long-range hopping,…

Quantum Gases · Physics 2018-09-27 Tirthaprasad Chattaraj

We study a lattice model describing the non-equilibrium dynamics emerging from the pulling of a tracer particle through a disordered medium occupied by randomly placed obstacles. The model is considered in a restricted geometry pertinent…

Statistical Mechanics · Physics 2026-03-09 A. Squarcini , A. Tinti , P. Illien , O. Bénichou , T. Franosch

A mesoscopic multi-component lattice Boltzmann model with short-range repulsion between different species and short/mid-ranged attractive/repulsive interactions between like-molecules is introduced. The interplay between these composite…

Soft Condensed Matter · Physics 2010-09-14 Roberto Benzi , Sergio Chibbaro , Sauro Succi

The equilibrium statistical mechanics of one-dimensional lattice gases with interactions of arbitrary range and shape between first-neighbor atoms is solved exactly on the basis of statistically interacting vacancy particles. Two sets of…

Statistical Mechanics · Physics 2014-01-30 Benaoumeur Bakhti , Michael Karbach , Philipp Maass , Mohammad Mokim , Gerhard Muller

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

One-dimensional, boundary-driven lattice gases with local interactions are studied in the weakly interacting limit. The density profiles and the correlation functions are calculated to first order in the interaction strength for zero-range…

Statistical Mechanics · Physics 2015-06-24 Frederic van Wijland , Zoltan Racz

For a class of nonequilibrium systems, called driven lattice gases, we study what happens when two systems are kept in contact and allowed to exchange particles with the total number of particles conserved. Both for attractive and repulsive…

Statistical Mechanics · Physics 2011-10-13 Punyabrata Pradhan , Robert Ramsperger , Udo Seifert

The longitudinal long-range correlations of the triangular flow event plane angles are calculated in a Boltzmann + hydrodynamics hybrid approach. The potential to disentangle different energy deposition scenarios is explored by utilizing…

Nuclear Theory · Physics 2013-05-29 Hannah Petersen , Carsten Greiner , Vivek Bhattacharya , Steffen A. Bass

We propose a mechanism for liquid formation in strongly correlated lattice systems. The mechanism is based on an interplay between long-range attraction and superexchange processes. As an example, we study dipolar bosons in one-dimensional…

We study nonequilibrium steady states of lattice gases with nearest-neighbor interactions that are driven between two reservoirs. Density profiles in these systems exhibit oscillations close to the reservoirs. We demonstrate that an…

Statistical Mechanics · Physics 2015-05-30 Marcel Dierl , Philipp Maass , Mario Einax

We present a Monte Carlo study of a lattice gas driven out of equilibrium by a local hopping bias. Sites can be empty or occupied by one of two types of particles, which are distinguished by their response to the hopping bias. All particles…

Statistical Mechanics · Physics 2009-11-11 Edward Lyman , B. Schmittmann

A new analytical approach is presented for analysis of two-particle azimuthal correlations in heavy ion collisions at relativistic energies. This approach suggests that elliptic flow measured by experiment has a compound structure, namely,…

Nuclear Theory · Physics 2007-05-23 V. A. Okorokov

An analysis of the random lattice gas in the annealed limit is presented. The statistical mechanics of disordered lattice systems is briefly reviewed. For the case of the lattice gas with an arbitrary uniform interaction potential and…

Statistical Mechanics · Physics 2011-11-09 A. P. Vieira , L. L. Goncalves

We consider an ultracold dipolar Bose gas in a one-dimensional lattice. For a sufficiently large lattice recoil energy, such a system becomes a series of non-overlapping Bose-Einstein condensates that interact via the long-range…

Quantum Gases · Physics 2015-05-20 Ryan M. Wilson , John L. Bohn

We construct a simple multicomponent lattice gas model in one dimension in which each site can either be empty or occupied by at most one particle of any one of $D$ species. Particles interact with a nearest neighbor interaction which…

High Energy Physics - Phenomenology · Physics 2009-10-22 T. Wettig , A. D. Jackson

The effect of concentration-dependent switching of the non-equilibrium depletion interaction between obstacles in a gas flow of interacting Brownian particles is presented. When increasing bath fraction exceeds half-filling, the…

Statistical Mechanics · Physics 2017-02-14 O. V. Kliushnychenko , S. P. Lukyanets