The Physical Meaning Of κDistribution For The System Under The External Force Field

The paper mainly discusses theκparameter's physical meaning. A formula expression ofκparameter is derived based on theκ-H theorem, the -velocity distribution and the generalized Boltzmann equation in the framework of -deformed statistics. We thus obtain a physical interpretation for the parameterwith regard to the temperature gradient. Andκ-distribution can describe the nonequilibrium stationary state of the system, where the external force acts vertical to the temperature gradient. When we compare it with q-statistics, we find that both the parameter and q respect the temperature gradient. But in statistics the external force acts vertical to the temperature gradient, while it is parallel in q statistics.It has similar results in relativistic dominant if the four-dimension vectors replace the three-dimension one. For the electromagnetic field, parameter regards to the temperature gradient in four-dimension spatial-time. And the four-gradient of temperature acts vertical to the product of the gradient tensor of the magnetic vector potential A and the mean four-velocity U of the gas.