Entropy 2006, 8, 175-181

Entropy
ISSN 1099-4300
http://www.mdpi.org/entropy/

Full paper

Generalized Ideal Gas Equations for Structureful Universe

Shahid N. Afridi 1 and Khalid Khan 2
Department of Physics, Quaid-i-Azam University, Islamabad 45320, Pakistan.
1 E-mail: [email protected]
2 E-mail: [email protected]

Received: 19 May 2006/ Accepted: 4 September 2006 / Published: 4 September 2006

Abstract: We have derived generalized ideal gas equations for a structureful universe consisting
of all forms of matters. We have assumed a universe that contains superclusters. Superclusters are
then made of clusters. Each cluster can be further divided into smaller ones and so on. We have
derived an expression for the entropy of such a universe. Our model is rather independent of the
geometry of the intermediate clusters. Our calculations are valid for a non-interacting universe
within non-relativistic limits. We suggest that structure formation can reduce the expansion rate
of the universe.
Keywords: set theory; cluster; temperature; pressure; entropy; thermal energy; cosmology.

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