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This article deals with the issues of global-in-time existence and asymptotic analysis of a fluid-particle interaction model in the so-called bubbling regime. The mixture occupies the physical space $\Omega \subset \mathbb{R}^3$ which may…

Analysis of PDEs · Mathematics 2010-06-16 Jose A. Carrillo , Trygve Karper , Konstantina Trivisa

We investigate the behavior of a dilute quasi two-dimensional, harmonically confined, weakly interacting Bose gas within the finite-temperature Thomas-Fermi approximation. We find that the thermodynamic properties of the system are markedly…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Brandon P. van Zyl , R. K. Bhaduri , Justin Sigetich

We analyze the stability of super- and subradiant states in a system of identical two-level atoms in the near-Dicke limit, i.e., when the atoms are very close to each other compared to the wavelength of resonant light. The dynamics of the…

Quantum Physics · Physics 2008-11-20 Peter G. Brooke , Karl-Peter Marzlin , James D. Cresser , Barry C. Sanders

The dynamical properties and diffusive behavior of a collection of mutually interacting particles are numerically investigated for two types of long-range interparticle interactions: Coulomb-electrostatic and dipole-electrodynamic. It is…

Fermionic cold atoms in optical traps provide viable quantum simulators of correlation effects in electronic systems. For dressed Rydberg atoms in two-dimensional traps with out-of-plane dipole moments, a realistic model of the pairwise…

Quantum Gases · Physics 2026-01-13 Clio Johnson , Neil D. Drummond , James P. Hague , Calum MacCormick

The superfluid-crystal quantum phase transition of a system of purely repulsive dipolar bosons in two dimensions is studied by Quantum Monte Carlo simulations at zero temperature. We determine freezing and melting densities, and estimate…

Statistical Mechanics · Physics 2014-12-12 Saverio Moroni , Massimo Boninsegni

We study by quantum Monte Carlo simulations the low-temperature phase diagram of dipolar bosons confined to one dimension, with dipole moments aligned along the direction of particle motion. A hard core repulsive potential of varying range…

Statistical Mechanics · Physics 2020-02-12 Youssef Kora , Massimo Boninsegni

This paper is concerned with the derivation and analysis of hydrodynamic models for systems of self-propelled particles subject to alignment interaction and attraction-repulsion. The starting point is the kinetic model considered in earlier…

Fluid Dynamics · Physics 2014-04-08 Pierre Degond , Jian-Guo Liu , Sébastien Motsch , Vladislav Panferov

For 1D Hamiltonian systems with periodic solutions, Helmholtz formalism provides a tantalizing interpretation of classical thermodynamics, based on time integrals of purely mechanical quantities and without need of statistical description.…

Statistical Mechanics · Physics 2023-02-28 Amilcare Porporato , Lamberto Rondoni

The question of decoupling and freeze-out is reinvestigated and analysed in terms of transparent semi-classical decoupling formulae, which provide a smooth decoupling in time both, for single and two particle inclusive spectra. They…

Nuclear Theory · Physics 2014-11-18 J. Knoll

We present a class of thermodynamic systems with constant thermodynamic curvature which, within the context of geometric approaches of thermodynamics, can be interpreted as constant thermodynamic interaction among their components. In…

Mathematical Physics · Physics 2013-09-05 A. C. Gutiérrez-Piñeres , C. S. López-Monsalvo , F. Nettel

Interacting systems can be studied as the networks where nodes are system units and edges denote correlated interactions. Although percolation on network is a unified way to model the emergence and propagation of correlated behaviours, it…

Statistical Mechanics · Physics 2023-11-15 Yizhou Xu , Pei Sun , Yang Tian

We review the current understanding of the uniform two-dimensional (2D) Fermi gas with short-range interactions. We first outline the basics of two-body scattering in 2D, including a discussion of how such a 2D system may be realized in…

Quantum Gases · Physics 2015-10-21 Jesper Levinsen , Meera M. Parish

When a laser field is incident on an overdense plasma it is unable to penetrate inside it. Nevertheless, a part of its energy gets transferred to the electrons through a variety of mechanisms (e.g. vacuum and $\vec{J}\times \vec{B}) heating…

Plasma Physics · Physics 2020-11-18 Devshree Mandal , Ayushi Vashistha , Amita Das

Molecular dynamics simulations have been performed to investigate in detail collective modes spectra of two-dimensional Coulomb fluids in a wide range of coupling. The obtained dispersion relations are compared with theoretical approaches…

Plasma Physics · Physics 2018-10-11 S. A. Khrapak , N. P. Kryuchkov , L. A. Mistryukova , A. G. Khrapak , S. O. Yurchenko

Simulations are reported to investigate solid superheating and liquid supercooling of two-dimensional (2D) systems with a Yukawa interparticle potential. Motivated by experiments where a dusty plasma is heated and then cooled suddenly, we…

Plasma Physics · Physics 2011-04-20 Yan Feng , Bin Liu , J. Goree

The exact equations of motion for microscopic density of classical particles number with account of inter-particle interactions and external field in closed form are derived. An integral equation for equilibrium distributions of the…

Statistical Mechanics · Physics 2014-07-18 A. Yu. Zakharov

Systems of particles interacting via inverse-power law potentials have an invariance with respect to changes in length and temperature, implying a correspondence in the dynamics and thermodynamics between different `isomorphic' sets of…

Statistical Mechanics · Physics 2016-08-03 Thibaud Maimbourg , Jorge Kurchan

Granular simulations are used to probe the particle scale dynamics at short, intermediate, and long time scales for gravity driven, dense granular flows down an inclined plane. On approach to the angle of repose, where motion ceases, the…

Soft Condensed Matter · Physics 2009-11-11 L. E. Silbert

Gravitational and electrostatic interactions are fundamental examples of systems with long-range interactions. Equilibrium properties of simple models with long-range interactions are well understood and exhibit exotic behaviors : negative…

Statistical Mechanics · Physics 2012-01-05 Pierre de Buyl