Macroscopic thermodynamics of equilibrium characterized by power law canonical distributions
College of Science and Technology, Nihon University
Funabashi, Chiba 274-8501, Japan
2 Naval Research Laboratory - Washington D.C. 20375-5320, USA
Accepted: 19 April 2001
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
© EDP Sciences, 2001