Entropy density of an adiabatic relativistic Bose-Einstein condensate star

Journal Article · Fri Apr 24 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4915188· OSTI ID:22391524

Khaidir, Ahmad Firdaus; Kassim, Hasan Abu; Yusof, Norhasliza ^[1]

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1. Theoretical Physics Lab., Department of Physics, Faculty of Science Building, University of Malaya, 50603 Kuala Lumpur (Malaysia)

Inspired by recent works, we investigate how the thermodynamics parameters (entropy, temperature, number density, energy density, etc) of Bose-Einstein Condensate star scale with the structure of the star. Below the critical temperature in which the condensation starts to occur, we study how the entropy behaves with varying temperature till it reaches its own stability against gravitational collapse and singularity. Compared to photon gases (pressure is described by radiation) where the chemical potential, μ is zero, entropy of photon gases obeys the Stefan-Boltzmann Law for a small values of T while forming a spiral structure for a large values of T due to general relativity. The entropy density of Bose-Einstein Condensate is obtained following the similar sequence but limited under critical temperature condition. We adopt the scalar field equation of state in Thomas-Fermi limit to study the characteristics of relativistic Bose-Einstein condensate under varying temperature and entropy. Finally, we obtain the entropy density proportional to (σT{sup 3}-3T) which obeys the Stefan-Boltzmann Law in ultra-relativistic condition.

• OSTI ID: 22391524
• Journal Information: AIP Conference Proceedings, Vol. 1657, Issue 1; Conference: PERFIK 2014: National Physics Conference 2014, Kuala Lumpur (Malaysia), 18-19 Nov 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
BOSE-EINSTEIN CONDENSATION
COMPARATIVE EVALUATIONS
CRITICAL TEMPERATURE
ENERGY DENSITY
ENTROPY
EQUATIONS OF STATE
GASES
GENERAL RELATIVITY THEORY
GRAVITATIONAL COLLAPSE
PHOTONS
POTENTIALS
RELATIVISTIC RANGE
SCALAR FIELDS
SINGULARITY
STARS
THERMODYNAMICS
THOMAS-FERMI MODEL