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The Tolman-Oppenheimer-Volkov [TOV] equation constrains the internal structure of general relativistic static perfect fluid spheres. We develop several "solution generating" theorems for the TOV, whereby any given solution can be "deformed"…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Petarpa Boonserm , Matt Visser , Silke Weinfurtner

We consider a two-dimensional Coulomb gas of positive and negative pointlike unit charges interacting via a logarithmic potential. The density (rather than the charge) correlation functions are studied. In the bulk, the form-factor theory…

Statistical Mechanics · Physics 2007-05-23 L. Šamaj , B. Jancovici

This paper presents a study on the relationship between transport properties and geometric free volume for hard sphere (HS) system in dense fluid region. Firstly, a generic free volume distribution function is proposed based on recent…

Soft Condensed Matter · Physics 2021-02-24 Hongqin Liu

An equilibrium theory of classical fluids based on the space distribution among the particles is derived in the framework of the energy minimization method. This study is motivated by current difficulties of evaluation of optical properties…

Statistical Mechanics · Physics 2009-11-10 R. D. Rohrmann

Static and spherically symmetric perfect fluid solutions of Einstein's field equations with cosmological constant are analysed. After showing existence and uniqueness of a regular solution at the centre the extension of this solution is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Christian G. Boehmer

Experimental particle spectra can be successfully described by power-law tailed energy distributions characteristic to canonical equilibrium distributions associated to R\'enyi's or Tsallis' entropy formula - over a wide range of energies,…

Nuclear Theory · Physics 2013-06-27 T. S. Biró , E. Molnár

Interior perfect fluid solutions for the Reissner-Nordstrom metric are studied on the basis of a new classification scheme. It specifies which two of the fluid's characteristics are given functions and picks up accordingly one of the three…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. V. Ivanov

New solutions for $(2+1)$-dimensional Einstein-Maxwell space-time are found for a static spherically symmetric charged fluid distribution with the additional condition of allowing conformal killing vectors (CKV). We discuss physical…

General Relativity and Quantum Cosmology · Physics 2014-02-25 Farook Rahaman , Saibal Ray , Indrani Karar , Hafiza Ismat Fatima , Saikat Bhowmick , Gourab Kumar Ghosh

The problem of incompressible fluid mixing arises in numerous engineering applications and has been well-studied over the years, yet many open questions remain. This paper aims to address the question "what do efficient flow fields for…

Systems and Control · Electrical Eng. & Systems 2025-08-15 Max Emerick , Bassam Bamieh

Viscosity, as a physical property of fluids, reflects an average effect over a chaotic microscopic motion described by Hamiltonian equations. It is proposed, as an example, that stationary states of an incompressible fluid subject to a…

Statistical Mechanics · Physics 2022-10-12 Giovanni Gallavotti

The aim of this paper is to calculate the time dependence of the mean position (and orientation) of a fluid particle when a fluid system at thermodynamic equilibrium is submitted to a mechanical action. The starting point of this novel…

Soft Condensed Matter · Physics 2022-04-25 Frederic Aitken , Ferdinand Volino

Within the framework of continuum mechanics, the full description Of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy…

Analysis of PDEs · Mathematics 2007-05-23 Anvarbek M. Meirmanov , Sergei A. Sazhenkov

Some bulk viscous general solutions are found for domain walls in Lyra geometry in the plane symmetric inhomogeneous spacetime. Expressions for the energy density and pressure of domain walls are derived in both cases of uniform and time…

General Relativity and Quantum Cosmology · Physics 2010-11-26 Anirudh Pradhan , Vandana Rai , Saeed Otarod

Vortex mass, which is the inertia of a quantum vortex, has never been observed in superfluids and is a long-standing problem in low temperature physics. The impact of the mass is considered negligible in typical experiments with superfluid…

Quantum Gases · Physics 2024-12-13 Akihiro Kanjo , Hiromitsu Takeuchi

In this paper, we consider the Universe deep inside of the cell of uniformity. At these scales, the Universe is filled with inhomogeneously distributed discrete structures (galaxies, groups and clusters of galaxies), which disturb the…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-25 Maxim Eingorn , Alexander Zhuk

Fluidity, the ability of liquids to flow, is the key property distinguishing liquids from solids. This fluidity is set by the mobile transit atoms moving from one quasi-equilibrium point to the next. The nature of this transit motion is…

Statistical Mechanics · Physics 2023-10-06 Cillian Cockrell , Oliver Dicks , Ilian T. Todorov , Alin M. Elena , Kostya Trachenko

The dynamics of a tagged particle immersed in a fluid of particles of the same size but different mass is studied when the system is confined between two hard parallel plates separated a distance smaller than twice the diameter of the…

Statistical Mechanics · Physics 2022-12-06 P. Maynar , M. I. García de Soria , J. Javier Brey

The Lie point symmetries and corresponding invariant solutions are obtained for a Gaussian, irrotational, compressible fluid flow. A supersymmetric extension of this model is then formulated through the use of a superspace and superfield…

Mathematical Physics · Physics 2009-11-13 A. M. Grundland , A. J. Hariton

We introduce a physical characterization of the static and stationary perfect fluid solutions of the Einstein field equations with a single or 2-component perfect fluid sources, according to their gravitoelectric and gravitomagnetic fields.…

General Relativity and Quantum Cosmology · Physics 2025-07-02 M. Nouri-Zonoz , A. Nouri-Zonoz

We present the Hamiltonian formalism for the Euler equation of symplectic fluids, introduce symplectic vorticity, and study related invariants. In particular, this allows one to extend D.Ebin's long-time existence result for geodesics on…

Symplectic Geometry · Mathematics 2011-06-09 Boris Khesin