Statistical thermodynamics for a self-gravitating fluid of rotating particles

Journal Article · Tue Jul 23 00:00:00 EDT 2013 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4817044· OSTI ID:22218290

Escamilla, L.; Torres-Arenas, J.; Benavides, A. L. ^[1]

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1. División de Ciencias e Ingenierías Campus León, Universidad de Guanajuato, Lomas del Bosque 103, León Guanajuato (Mexico)

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.

• OSTI ID: 22218290
• Journal Information: AIP Conference Proceedings, Vol. 1548, 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); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

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