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A Gaussian ansatz for the wave function of two-dimensional harmonically trapped anisotropic Bose-Einstein condensates is shown to lead, via a variational procedure, to a coupled system of two second-order, nonlinear ordinary differential…

凝聚态物理 · 物理学 2009-11-07 F. Haas

An Equation of State (\textit{EoS}) closes the set of fluid equations. Although an ideal EoS with a constant \textit{adiabatic index} $\Gamma$ is the preferred choice due to its simplistic implementation, many astrophysical fluid…

天体物理仪器与方法 · 物理学 2015-08-19 B. Vaidya , A. Mignone , G. Bodo , S. Massaglia

We investigate the static and dynamic properties of a Tonks-Girardeau gas in a harmonic trap with an eccentric $\delta$-perturbation of variable strength. For this we first find the analytic eigensolution of the single particle problem and…

量子气体 · 物理学 2013-06-18 J. Goold , M. Krych , Z. Idziaszek , T. Fogarty , Th. Busch

We analyze the transport properties of a low density ensemble of identical macroscopic particles immersed in an active fluid. The particles are modeled as inelastic hard spheres (granular gas). The non-homogeneous active fluid is modeled by…

软凝聚态物质 · 物理学 2017-10-17 Francisco Vega Reyes , Antonio Lasanta

Understanding relaxation processes is an important unsolved problem in many areas of physics. A key challenge in studying such non-equilibrium dynamics is the scarcity of experimental tools for characterizing their complex transient states.…

We study a two-dimensional gas of inelastic smooth hard dimers. Since the collisions between dimers are dissipative, being characterized by a coefficient of restitution $\alpha<1$, and no external driving force is present, the energy of the…

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…

统计力学 · 物理学 2026-03-12 Aritra Kundu , Abhishek Dhar , Sanjib Sabhapandit

We undertake a detailed comparison of the results of direct numerical simulations of the integrable soliton gas dynamics with the analytical predictions inferred from the exact solutions of the relevant kinetic equation for solitons. We use…

斑图形成与孤子 · 物理学 2020-02-20 Francesco Carbone , Denys Dutykh , Gennady El

Thermodynamic properties of ideal Bose gas trapped in an external generic power law potential are investigated systematically from the grand thermodynamic potential in $d$ dimensional space. The most general conditions for Bose-Einstein…

量子气体 · 物理学 2016-04-18 Mir Mehedi Faruk

We consider a chain of particles connected by an-harmonic springs, with a boundary force (tension) acting on the last particle, while the first particle is kept pinned at a point. The particles are in contact with stochastic heat baths,…

数学物理 · 物理学 2020-01-23 Stefano Marchesani , Stefano Olla

We study the thermodynamical properties of a self-gravitating gas with two or more types of particles. Using the method of linear series of equilibria, we determine the structure and stability of statistical equilibrium states in both…

统计力学 · 物理学 2009-11-11 Julien Sopik , Clement Sire , Pierre-Henri Chavanis

The ultra-relativistic Euler equations for an ideal gas are described in terms of the pressure $p$, the spatial part $\underline{u} \in \R^3$ of the dimensionless four-velocity and the particle density $n$. Radially symmetric solutions of…

数值分析 · 数学 2020-02-05 Matthias Kunik , Hailiang Liu , Gerald Warnecke

A heat conduction problem is studied using extended hydrodynamic equations obtained from Enskog's equation for a simple case of two planar systems in contact through a porous wall. One of the systems is in equilibrium and the other one in a…

统计力学 · 物理学 2009-11-11 Hideaki Ugawa

We present results of our ongoing study of the morphology and kinematics of the ionised gas in 48 representative nearby elliptical and lenticular galaxies using the SAURON integral-field spectrograph on the 4.2m William Herschel Telescope.…

We solve a set of selected exercises on rotational motion requiring a mechanical and thermodynamical analysis. When non-conservative forces or thermal effects are present, a complete study must use the first law of thermodynamics together…

经典物理 · 物理学 2014-04-08 Julio Güémez , Manuel Fiolhais

We consider an ideal gas of active Brownian particles that undergo self-propelled motion and both translational and rotational diffusion under the influence of gravity. We solve analytically the corresponding Smoluchowski equation in two…

软凝聚态物质 · 物理学 2018-03-02 Sophie Hermann , Matthias Schmidt

A holonomic constraint is used to enforce a constant instantaneous configurational temperature on an equilibrium system. Three sets of equations of motion are obtained, differing according to the way in which the holonomic constraint is…

统计力学 · 物理学 2007-06-13 Igor Rychkov , Debra J. Searles

The equation of state for a two-dimensional hard-sphere gas is difficult to calculate by usual methods. In this paper we develop an approach for calculating the equation of state of hard-sphere gases, both for two- and three-dimensional…

统计力学 · 物理学 2009-11-11 Wu-Sheng Dai , Mi Xie

Relativistic transport phenomena are important from both theoretical and practical point of view. Accordingly, hydrodynamics of relativistic gas has been extensively studied theoretically. Here, we introduce a three-dimensional canonical…

统计力学 · 物理学 2015-06-15 Malihe Ghodrat , Afshin Montakhab

Using high-resolution, three-dimensional hydrodynamical simulations, we investigate the structure of the interstellar medium in the central hundred pc region in galaxies, taking into account self-gravity of the gas, radiative cooling from…

天体物理学 · 物理学 2009-11-07 Keiichi Wada