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Expanding universe: thermodynamical aspects from different models

Pal, Sridip and Biswas, Ritabrata (2012) Expanding universe: thermodynamical aspects from different models. In: ASTROPHYSICS AND SPACE SCIENCE, 342 (1). pp. 269-279.

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Official URL: http://dx.doi.org/10.1007/s10509-012-1156-9

Abstract

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)=w (0)+w (1)ln(1+z) & . 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 U (0) (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.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to Springer
Keywords: Thermodynamic processes; Equations of state
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Depositing User: Id for Latest eprints
Date Deposited: 07 Jan 2013 10:27
Last Modified: 07 Jan 2013 10:27
URI: http://eprints.iisc.ac.in/id/eprint/45248

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