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The {\em hydrodynamic} approach to a continuum mechanical description of granular behavior is reviewed and elucidated. By considering energy and momentum conservation simultaneously, the general formalism of {\em hydrodynamics} provides a…

软凝聚态物质 · 物理学 2012-06-14 Yimin Jiang , Mario Liu

The dynamical reaction of the particles accelerated at a shock front by the first order Fermi process can be determined within kinetic models that account for both the hydrodynamics of the shocked fluid and the transport of the accelerated…

天体物理学 · 物理学 2009-11-11 P. Blasi , S. Gabici , G. Vannoni

We consider a lattice model of active matter with exclusion and derive its hydrodynamic description exactly. The hydrodynamic limit leads to an integro-differential equation for the density of particles with a given orientation. Volume…

数学物理 · 物理学 2023-10-31 James Mason , Clement Erignoux , Robert Jack , Maria Bruna

We develop a many-particle quantum-hydrodynamical model of fermion matter interacting with the external classical electromagnetic and gravitational/inertial and torsion fields. The consistent hydrodynamical formulation is constructed for…

高能物理 - 理论 · 物理学 2021-12-17 Mariya Iv. Trukhanova , Yuri N. Obukhov

The approximate mathematical model for a cooling of the particle in a volatile liquid is developed and analyzed. Despite the precise model is complex and requires the solution of the nonstationary two-phase flow equations with the…

应用物理 · 物理学 2018-03-14 Ivan V. Kazachkov

A survey is given on the applications of hydrodynamic model of nucleus-nucleus collisons, focusing especially on i) the resolution of hydrodynamic equations for arbitrary configurations, by using the smoothed-particle hydrodynamic approach;…

高能物理 - 唯象学 · 物理学 2015-06-25 Y. Hama , T. Kodama , O. Socolowski

Many models of heavy ion collisions employ relativistic hydrodynamics to describe the system evolution at high densities. The Cooper-Frye formula is applied in most of these models to turn the hydrodynamical fields into particles. However,…

核理论 · 物理学 2015-06-23 D. Oliinychenko , P. Huovinen , H. Petersen

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…

核理论 · 物理学 2014-11-18 J. Knoll

Hydrodynamics is the appropriate "effective theory" for describing any fluid medium at sufficiently long length scales. This paper treats the vacuum as such a medium and derives the corresponding hydrodynamic equations. Unlike a normal…

高能物理 - 唯象学 · 物理学 2016-07-01 P. M. Stevenson

Hamiltonian particle systems may exhibit non-linear hydrodynamic phenomena as the time evolution of the density fields of energy, momentum, and mass. In this Letter, an exact equation describing the time evolution is derived assuming the…

统计力学 · 物理学 2014-03-18 Shin-ichi Sasa

In these notes, we describe the strategy for the derivation of the hydrodynamic limit for a family of long range interacting particle systems of exclusion type with symmetric rates. For $m \in \mathbb{N}:=\{1, 2, \ldots\}$ fixed, the…

概率论 · 数学 2024-07-03 Pedro Cardoso , Patrícia Gonçalves

We investigate the effect of early chemical freeze-out on radial and elliptic flow by using a fully three dimensional hydrodynamic model. We find that the time evolution of temperature and the thermal freeze-out temperature dependence of…

核理论 · 物理学 2007-05-23 T. Hirano , K. Tsuda

This paper is intended to clarify some of the rather well-known aerodynamic phenomena. It is also intended to pique the interest of the layman as well as the professional. All aerodynamic forces on a surface are caused by collisions of…

混沌动力学 · 物理学 2022-03-29 Charles A. Crummer

We argue that entropy production in hydrodynamics can be understood via a superspace inflow mechanism. Our arguments are based on a recently developed formalism for constructing effective actions for Schwinger-Keldysh observables in quantum…

高能物理 - 理论 · 物理学 2018-08-08 Felix M. Haehl , R. Loganayagam , Mukund Rangamani

The possibility that particle production in high-energy collisions is a result of two asymmetric hydrodynamic flows is investigated, using the Khalatnikov form of the 1+1-dimensional approximation of hydrodynamic equations. The general…

高能物理 - 唯象学 · 物理学 2011-05-19 Andrzej Bialas , Robi Peschanski

The emergence of hydrodynamics is one of the deepest phenomena in many-body systems. Arguably, the hydrodynamic equations are also the most important tools for predicting large-scale behaviour. Understanding how such equations emerge from…

统计力学 · 物理学 2025-03-13 Sun Woo P. Kim , Friedrich Hübner , Juan P. Garrahan , Benjamin Doyon

The reformulation of nonequilibirum thermodynamics, to include the treatment of thermodynamic fluctuations, is applied to the hydrodynamic fluctuations of a simple fluid. It is shown that the nonequilibrium thermodynamic scheme leads to the…

统计力学 · 物理学 2007-05-23 J. M. Rubi , P. Mazur

Recently a new type of Kramers-Fokker-Planck Equation has been proposed [R. Friedrich et al. Phys. Rev. Lett. {\bf 96}, 230601 (2006)] describing anomalous diffusion in external potentials. In the present paper the explicit cases of a…

统计力学 · 物理学 2007-05-23 S. Eule , R. Friedrich , F. Jenko

The collective non-equilibrium dynamics of multi-component mixtures of interacting active (self-propelled) and passive (diffusive) particles have garnered great interest in the physics community. However, the mathematical understanding of…

概率论 · 数学 2025-01-28 Deyue Li

We consider the hydrodynamic scaling behavior of the mass density with respect to a general class of mass conservative interacting particle systems on ${\mathbb Z}^n$, where the jump rates are asymmetric and long-range of order…

概率论 · 数学 2018-02-28 Sunder Sethuraman , Doron Shahar