The Properties Of The Nonextensive Parameter Q Of Relativistic Gas Under An External Electromagnetic Field

In this paper, we review the traditional Boltzmann-Gibbs statistics and the difficulties of them. In order to solve these problems, Tsallis, a physicist, inspired by multifractal or hierarchical geometry, brings forward the so called nonextensive statistics. After a brief introduction of nonextensive statistics, we point out an important problem exist in nonextensive statistics: the physical meaning of nonextensive parameter . In some degree, the understanding of the physical meaning of has been crucially important in nonextensive statistics mechanics. The purposes of our work are trying to give the parameter a clear understanding on its physical properties. After a deep consideration of the actual physical circumstance of our world, we establish a relativistic electromagnetic model. This system includes -particles and is put under a relativistic electromagnetic field. A mathematical expression of the nonextensive parameter is deduced based on the relativistic transport equation and the generalized -particle distribution function in the framework of Tsallis statistics. In this electromagnetic system, the nonextensive parameter is connected with the temperature gradient in space-time. It has a deviation of one due to the inhomogeneity of temperature field. So we have obtained a clear understanding of the physics of related to the temperature gradient in space-time coordinate of the system. We also propose that Tsallis statistics could be statistics suitable for describing nonequilibrium properties of systems with inhomegeneous temperature and coulombian long-range interaction systems.