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Title: Statistical thermodynamics for a self-gravitating fluid of rotating particles

Systems with long-range interactions (those which decay at large distances as r{sup -l}, with l≥d, where d is the dimensionality of the considered space), like gravitational or charged ones, present difficulties when treated by conventional statistical mechanics perturbation methods. In this work a self-gravitating fluid of rotating spherical particles is considered. The corresponding inter-particle potential model is a long-ranged one and was obtained from the application of the Newtonian limit to the Kerr metric. This potential has been expressed as a finite sum of hard-core Yukawa potentials. This new potential mimics the original long-ranged one and can be treated with conventional statistical mechanics methods. The first-order mean spherical approximation is applied to this potential to obtain the thermodynamic response functions.
Authors:
; ;  [1]
  1. División de Ciencias e Ingenierías Campus León, Universidad de Guanajuato, Lomas del Bosque 103, León Guanajuato (Mexico)
Publication Date:
OSTI Identifier:
22218290
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1548; Journal Issue: 1; Conference: 9. Mexican school on gravitation and mathematical physics: Cosmology for the 21. century, Puerto Vallarta, Jalisco (Mexico), 3-7 Dec 2012; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; BLACK HOLES; COSMOLOGY; FLUIDS; GRAVITATION; INTERACTION RANGE; KERR METRIC; MESONS; PERTURBATION THEORY; QUANTUM FIELD THEORY; RESPONSE FUNCTIONS; SPHERICAL CONFIGURATION; STATISTICAL MECHANICS; THERMODYNAMICS; YUKAWA POTENTIAL