On different q-systems in nonextensive thermostatistics

W. Li; Q. A. Wang; L. Nivanen; A. Le Méhauté

doi:10.1140/epjb/e2005-00368-y

EPJ

On different q-systems in nonextensive thermostatistics

W. Li¹^,2^a, Q. A. Wang¹, L. Nivanen¹ and A. Le Méhauté¹

¹ Institut Supérieur des Matériaux du Mans, 44, Avenue F.A. Bartholdi, 72000 Le Mans, France
² Institute of Particle Physics, Hua-Zhong Normal University, Wuhan 430079, P.R. China

Received: 7 April 2005
Revised: 12 October 2005
Published online: 9 December 2005

Abstract

It is known that the nonextensive statistics was originally formulated for the systems composed of subsystems having same q. In this paper, the existence of composite system with different q subsystems is investigated by fitting the power law degree distribution of air networks with q-exponential distribution. Then a possible extension the nonextensive statistics to different q systems is provided on the basis of an entropy nonadditivity rule and an unnormalized expectation of energy.

PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 05.20.-y – Classical statistical mechanics / 05.70.-a – Thermodynamics