DOI: 10.1209/epl/i2001-00373-4


Europhys. Lett., 55 (1) , pp. 6-11 (2001)

Macroscopic thermodynamics of equilibrium characterized by power law canonical distributions

S. Abe¹ and A. K. Rajagopal<sup>2

1</sup>  College of Science and Technology, Nihon University Funabashi, Chiba 274-8501, Japan
²  Naval Research Laboratory - Washington D.C. 20375-5320, USA

(Received 1 December 2000; accepted in final form 19 April 2001)

Abstract
Macroscopic thermodynamics of equilibrium is constructed for systems obeying power law canonical distributions. With this, the connection between macroscopic thermodynamics and microscopic statistical thermodynamics is generalized. This is complementary to the Gibbs theorem for the celebrated exponential canonical distributions of systems in contact with the heat bath. Thereby, a thermodynamic basis is provided for power law phenomena ubiquitous in nature.

PACS
05.20.-y - Classical statistical mechanics.
05.70.-a - Thermodynamics.


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