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We show that for any liquid or solid with strong correlation between its $NVT$ virial and potential-energy equilibrium fluctuations, the temperature is a product of a function of excess entropy per particle and a function of density,…

软凝聚态物质 · 物理学 2012-03-13 Trond S. Ingebrigtsen , Lasse Bøhling , Thomas B. Schrøder , Jeppe C. Dyre

Surface-response functions are one of the most promising routes for bridging the gap between fully quantum-mechanical calculations and phenomenological models in quantum nanoplasmonics. Within all the currently available recipes for…

Isotropic and spatially homogeneous viscous fluid cosmological models are investigated using the truncated Israel-Stewart theory of irreversible thermodynamics to model the bulk viscous pressure. The governing system of differential…

广义相对论与量子宇宙学 · 物理学 2010-04-06 A A Coley , R J van den Hoogen

This manuscript is a revision of our previous work that develops the three layer model for the surface second-harmonic generation yield; here, we add the necessary algebra to derive expressions that include elliptically polarized incoming…

光学 · 物理学 2018-05-16 Sean M. Anderson , Yujin Cho , Bernardo S. Mendoza

Using a central limit theorem for arrays of interacting quantum systems, we give analytical expressions for the density of states and the partition function at finite temperature of such a system, which are valid in the limit of infinite…

统计力学 · 物理学 2009-11-10 Michael Hartmann , Guenter Mahler , Ortwin Hess

Solving the kinetic equation for ionization-recombination processes in cold plasmas for temperatures much lower than the first ionization potentials, we derive an explicit expression for the bulk viscosity. We obtain that bulk viscosity can…

等离子体物理 · 物理学 2026-03-03 Albert M. Varonov , Todor M. Mishonov

We derive and analyze the dynamic equations for polar liquid crystals in two spatial dimensions in the framework of classical dynamical density functional theory (DDFT). Translational density variations, polarization, and quadrupolar order…

软凝聚态物质 · 物理学 2014-01-28 Raphael Wittkowski , Hartmut Löwen , Helmut R. Brand

The standard Maxwell formulation of the problem of polarized dielectrics suffers from a number of difficulties, both conceptual and practical. These difficulties are particularly significant in the case of liquid interfaces, where the…

软凝聚态物质 · 物理学 2015-06-18 Dmitry V. Matyushov

We derive equations of motion for higher order density response functions using the theory of thermodynamic Green's functions. We also derive expressions for the higher order generalized dielectric functions and polarization functions.…

We construct a microscopic theory of applying a heat flow from thermostatted boundary walls in the film geometry. We treat a classical one-component fluid, but our method is applicable to any fluids and solids. We express linear response of…

统计力学 · 物理学 2019-10-23 Akira Onuki

The manner in which electrolyte solutions respond to electric fields is crucial to understanding the behavior of these systems both at, and away from, equilibrium. The present formulation of linear response theory for such systems is…

统计力学 · 物理学 2020-05-21 Stephen J. Cox , Michiel Sprik

In this paper we present the molecular theory of viscosity of confined fluids in small or nano systems. This theory is also applicable to the interfacial viscosity. The basis of this research work is the Enskog kinetic theory and the…

统计力学 · 物理学 2008-06-16 B. Mirzayi , G. A. Mansoori , M. Vafaie-Sefti

By using the long-wave approximation, a system of coupled evolution equations for the bulk velocity and the surface perturbations of a B\'enard-Marangoni system is obtained. It includes nonlinearity, dispersion and dissipation, and it can…

patt-sol · 物理学 2009-10-22 R. A. Kraenkel , S. M. Kurcbart , J. G. Pereira , M. A. Manna

One important development in interaction potential models, or atomistic force fields, for molecular simulation is the inclusion of explicit polarisation, which represents the induction effects of charged or polar molecules on polarisable…

软凝聚态物质 · 物理学 2017-05-25 Agílio A. H. Pádua

We derive analytical expressions for the excitation energy of the isoscalar giant monopole and quadrupole resonances in finite nuclei, by using the scaling method and the extended Thomas-Fermi approach to relativistic mean field theory. We…

核理论 · 物理学 2010-12-23 S. K. Patra , X. Vinas , M. Centelles , M. Del Estal

Equations governing the flow of a polar fluid, with pressure-dependent Newtonian viscosity, through a variable-porosity medium are developed. Averaged equations are obtained using intrinsic volume averaging. A drag function is introduced to…

流体动力学 · 物理学 2025-12-04 M. H. Hamdan , D. C. Roach

The Vlasov-Poisson system describes interacting systems of collisionless particles. For solutions with small initial data in three dimensions it is known that the spatial density of particles decays like $t^{-3}$ at late times. In this…

偏微分方程分析 · 数学 2007-05-23 Hyung Ju Hwang , Alan D. Rendall , Juan J. L. Velazquez

A finite Larmor radius approximation is derived from the classical Vlasov equation, in the limit of large (and uniform) external magnetic field. We also provide an heuristic derivation of the electroneutrality equation in the finite Larmor…

偏微分方程分析 · 数学 2013-05-10 Philippe Ghendrih , Maxime Hauray , Anne Nouri

After a brief review of previous work, two exactly solvable two-dimensional models of a finite Coulomb fluid in a disc are studied. The charge correlation function near the boundary circle is computed. When the disc radius is large compared…

统计力学 · 物理学 2009-11-07 B. Jancovici

Due to off-center relativistic motion of the charged spectators and the local momentum-imbalance of the participants, a short-lived huge magnetic field is likely generated, especially in relativistic heavy-ion collisions. In determining the…

高能物理 - 唯象学 · 物理学 2016-08-04 Abdel Nasser Tawfik , Abdel Magied Diab , T. M. Hussein