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An overview of some analytical approaches to the computation of the structural and thermodynamic properties of single component and multicomponent hard-sphere fluids is provided. For the structural properties, they yield a thermodynamically…

统计力学 · 物理学 2008-07-18 M. Lopez de Haro , S. B. Yuste , A. Santos

We introduce a continuous (downscaling) data assimilation algorithm for the 2D B\'enard convection problem using vorticity or local circulation measurements only. In this algorithm, a nudging term is added to the vorticity equation to…

偏微分方程分析 · 数学 2017-09-11 Aseel Farhat , Hans Johnston , Michael S. Jolly , Edriss S. Titi

The first-order general relativistic theory of a generic dissipative (heat-conducting, viscous, particle-creating) fluid is rediscussed from a unified covariant frame-independent point of view. By generalizing some previous works in the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 R. Silva , J. A. S. Lima , M. O. Calvão

We construct and solve numerically the thermodynamic Bethe Ansatz equations for the spin-anisotropic two-channel Kondo model in arbitrary external field $h$. At high temperatures the specific heat and the susceptibility show power law…

强关联电子 · 物理学 2009-11-07 G. Zarand , T. Costi , A. Jerez , N. Andrei

As remarked by Boltzmann, the Second Law of Thermodynamics is notable for the fact that it is readily proved using elementary statistical arguments, but becomes harder and harder to verify the more precise the microscopic description of a…

量子物理 · 物理学 2026-04-03 Marco A. Jimenez-Valencia , Charles A. Stafford

In lattice QCD with Wilson-type quarks, the chiral symmetry is explicitly broken by the Wilson term on finite lattices. Though the symmetry is guaranteed to recover in the continuum limit, a series of non-trivial procedures are required to…

Reynolds similitude, a key concept in hydrodynamics, states that two phenomena of different length scales with a similar geometry are physically identical. Flow properties are universally determined in a unified way in terms of the Reynolds…

其他凝聚态物理 · 物理学 2023-02-15 Hiromitsu Takeuchi

Dissipation can be represented in Hamiltonian mechanics in an extended phase space as a symplectic process. The method uses an auxiliary variable which represents the excitation of unresolved dynamics and a Hamiltonian for the interaction…

流体动力学 · 物理学 2017-02-16 Richard Blender , Gualtiero Badin

The invariance for the equation of fast diffusion in the 2D coordinate space has been proved, and its reduction to the 1D (with respect to the spatial variable) analog is demonstrated. On the basis of these results, new exact…

数学物理 · 物理学 2007-05-23 E. I. Semenov

The spatial fluctuations of a superfluid flowing in a weak random potential are investigated. We employ classical field theory to demonstrate that the disorder-averaged nonequilibrium second-order correlation of the order parameter at zero…

量子气体 · 物理学 2021-01-04 Taiki Haga , Masahito Ueda

We extend an infrared-deformed soft-wall anti de-Sitter/QCD model at zero temperature to a model at finite temperature and perform hydrodynamics. To have the infalling boundary condition to make the hydrodynamic analysis possible, we treat…

高能物理 - 唯象学 · 物理学 2013-07-25 Shingo Takeuchi , Yue-Liang Wu

The analytic continuation from the Euclidean domain to real space of the one-particle irreducible quantum effective action is discussed in the context of generalized local equilibrium states. Discontinuous terms associated with dissipative…

高能物理 - 理论 · 物理学 2016-10-12 Stefan Floerchinger

We prove that the two dimensional Hubbard model at finite temperature T and half-filling is analytic in the coupling constant in a radius at least $c/(\log T)^2$. We also study the self-energy through a new two-particle irreducible…

强关联电子 · 物理学 2009-11-10 Stephane Afchain , Jacques Magnen , Vincent Rivasseau

The relation between the critical compressibility factors $Z_{c}$ of the Lennard-Jones fluid and the Lattice Gas (Ising model) is derived within the global isomorphism approach. On this basis we obtain the alternative form for the value of…

软凝聚态物质 · 物理学 2014-08-12 Vladimir Kulinskii

Under this method second order \textbf{partial differential equations (PDE's)} can be reduce to first order PDE's, simplifying the Initial value problem \textbf{IVP} or Border value Problem \textbf{BVP} for most cases of second-order…

偏微分方程分析 · 数学 2020-11-18 Fernando Reynoso

In the above paper an analysis has been carried out to obtain results in the Couette flow of a Newtonian fluid with viscous dissipation and temperature dependent viscosity. The fluid viscosity is an exponential function of temperature.…

流体动力学 · 物理学 2007-05-23 Asterios Pantokratoras

Supercooled liquids are characterized by relaxation times that increase dramatically by cooling or compression. Many liquids have been shown to obey power-law density scaling, according to which the relaxation time is a function of density…

软凝聚态物质 · 物理学 2012-12-19 Lasse Bøhling , Trond S. Ingebrigtsen , A. Grzybowski , M. Paluch , Jeppe C. Dyre , Thomas B. Schrøder

This paper investigates two conjectures for calculating the density dependence of the density-scaling exponent of a single-component, pair-potential liquid with strong virial potential-energy correlations. The first conjecture gives an…

软凝聚态物质 · 物理学 2014-09-23 Lasse Bøhling , Nicholas P. Bailey , Thomas B. Schrøder , Jeppe C. Dyre

In this work, we perform a phenomenological derivation of the first- and second-order relativistic hydrodynamics of dissipative fluids. To set the stage, we start with a review of the ideal relativistic hydrodynamics from energy-momentum…

核理论 · 物理学 2023-03-16 Arus Harutyunyan , Armen Sedrakian

We study the dynamics of particles in a multi-component 2d Lennard-Jones (LJ) fluid in the limiting case where {\it all the particles are different} (APD). The equilibrium properties of this APD system were studied in our earlier work…

软凝聚态物质 · 物理学 2016-06-22 Lenin S. Shagolsem , Yitzhak Rabin