2012/06/20 by Sridip Pal, Ritabrata Biswas
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #Solar and Space Plasma Dynamics #astro-ph.CO #physics.gen-ph
paper · pdf · doi:10.1007/s10509-012-1156-9
published as Astrophysics and Space Science November 2012, Volume 342, Issue 1, pp 269-279 · 16 pages, 3 figures(Accepted for publication in "Astrophysics and Space Science")
arxiv created 2012/06/20 · openalex publication_date 2012/07/02 · arxiv updated 2015/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The pivotal point of the paper is to discuss the behavior of temperature, pressure, energy density as a function of volume along with determination of caloric EoS from following two model: w(z)=w0+w1ln(1+z) & w(z)=-1+((1+z))/(3)\fracA1+2A2(1+z)A0+2A1(1+z)+A2(1+z)2. The time scale of instability for this two models is discussed. In the paper we then generalize our result and arrive at general expression for energy density irrespective of the model. The thermodynamical stability for both of the model and the general case is discussed from this viewpoint. We also arrive at a condition on the limiting behavior of thermodynamic parameter to validate the third law of thermodynamics and interpret the general mathematical expression of integration constant U0 (what we get while integrating energy conservation equation) physically relating it to number of micro states. The constraint on the allowed values of the parameters of the models is discussed which ascertains stability of universe. The validity of thermodynamical laws within apparent and event horizon is discussed.