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Einstein's field equations for timelike self-similar spherically symmetric perfect-fluid models are investigated. The field equations are rewritten as a first-order system of autonomous differential equations. Dimensionless variables are…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Martin Goliath , Ulf S Nilsson , Claes Uggla

For many tasks of data analysis, we may only have the information of the explanatory variable and the evaluation of the response values are quite expensive. While it is impractical or too costly to obtain the responses of all units, a…

统计计算 · 统计学 2023-04-07 Wei Zheng , Ting Tian , Xueqin Wang

We present exact, analytic and simple solutions of relativistic perfect fluid hydrodynamics. The solutions allow us to calculate the rapidity distribution of the particles produced at the freeze-out, and fit them to the measured rapidity…

核理论 · 物理学 2008-11-26 M. Csanad , M. I. Nagy , T. Csorgo

We study the quantum-mechanical tunneling phenomenon in models which include the existence of non-equivalent vacua. For such a purpose we evaluate the euclidean propagator between two minima of the potential at issue in terms of the…

量子物理 · 物理学 2007-05-23 J. Casahorran

The spectral problem is studied associated with Maxwell-Boltzmann equations describing collisionless plasma. Formula for instability index is obtained and effective conditions of two-stream instability are given.

谱理论 · 数学 2019-03-06 Stanislav Stepin

It is shown that low Reynolds number fluid flows can cause suspended particles to respond as though they were in an equilibrium system with an effective potential. This general result follows naturally from the fact that different methods…

软凝聚态物质 · 物理学 2019-06-19 Todd M. Squires

The linear response description for impurity diffusion in a granular fluid undergoing homogeneous cooling is developed in the preceeding paper. The formally exact Einstein and Green-Kubo expressions for the self-diffusion coefficient are…

软凝聚态物质 · 物理学 2009-11-07 James Lutsko , J. Javier Brey , James W. Dufty

Anisotropic fluids, such as nematic liquid crystals, can form non-spherical equilibrium shapes known as tactoids. Predicting the shape of these structures as a function of material parameters is challenging and paradigmatic of a broader…

数值分析 · 数学 2025-02-04 James H. Adler , Anca S. Andrei , Timothy J. Atherton

In this paper we use Lagrange-Poincare reduction to understand the coupling between a fluid and a set of Lagrangian particles that are supposed to simulate it. In particular, we reinterpret the work of Cendra et al. by substituting velocity…

动力系统 · 数学 2014-05-07 Henry O. Jacobs , Tudor S. Ratiu , Mathieu Desbrun

In this work, we revisit the thermodynamical self-consistency of the quasiparticle model with the finite baryon chemical potential adjusted to lattice QCD calculations. Here, we investigate the possibility that the effective quasiparticle…

高能物理 - 唯象学 · 物理学 2019-07-31 Hong-Hao Ma , Kai Lin , Wei-Liang Qian , Yogiro Hama , Takeshi Kodama

Stability of electro-hydrodynamic processes between ion-exchange membranes is investigated. Solutions of the equilibrium problem are commonly described in the one-dimensional (1D) steady-state approximation. In the present work, a novel…

流体动力学 · 物理学 2015-03-13 E. Demekhin , S. Polyanskikh , Yury Shtemler

We consider reaction-diffusion systems and other related dissipative systems on unbounded domains which would have a Liapunov function (and gradient structure) when posed on a finite domain. In this situation, the system may reach local…

偏微分方程分析 · 数学 2023-02-02 Alexander Mielke , Stefanie Schindler

We will discuss various aspects of the incompressible Euler equation. We will discuss, in particular, problems related to the least action principle, the existence of special solutions, the problem of solvability, singularity formation, and…

偏微分方程分析 · 数学 2025-12-10 Tarek M. Elgindi

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

A complete discussion of the constraints on the Michel parameters and the ambiguities of their interpretation is presented. Estimators of new physics, optimized for a very wide class of hypotheses and models, are proposed.

高能物理 - 唯象学 · 物理学 2009-01-07 Andre Rouge

We discuss some aspects of the continuum limit of some lattice models, in particular the $2D$ $O(N)$ models. The continuum limit is taken either in an infinite volume or in a box whose size is a fixed fraction of the infinite volume…

高能物理 - 格点 · 物理学 2015-06-25 A. Patrascioiu , E. Seiler

Glass-forming liquids exhibit a dramatic dynamical slowdown as the temperature is lowered. This can be attributed to relaxation proceeding via large structural rearrangements whose characteristic size increases as the system cools. These…

统计力学 · 物理学 2015-03-31 Allan Adams , Tarek Anous , Jaehoon Lee , Sho Yaida

We apply the convection stability criterion to a fluid in global thermodynamic equilibrium with a rigid rotation or with a constant acceleration along the streamlines. Different equations of state describing strongly interacting matter are…

高能物理 - 唯象学 · 物理学 2019-01-16 Wojciech Florkowski , Avdhesh Kumar , Radoslaw Ryblewski

Wet granular materials in a quasi-static steady state shear flow have been studied with discrete particle simulations. Macroscopic quantities, consistent with the conservation laws of continuum theory, are obtained by time averaging and…

软凝聚态物质 · 物理学 2015-06-23 Sudeshna Roy , Abhinendra Singh , Stefan Luding , Thomas Weinhart

We introduce a model of water contemplating true supercooled-liquid states that, as such, are metastable with respect to the crystalline-solid ones. Its numerical solutions reproduce from Speedy-Angell's stability-limit picture to Poole et…

统计力学 · 物理学 2026-05-26 Jacobo Troncoso , Claudio A. Cerdeiriña