Document 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. Rajagopal21 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.
05.20.-y - Classical statistical mechanics.
05.70.-a - Thermodynamics.
© EDP Sciences 2001