Classical Model of Quons

Abstract

By using the kinetic interaction principle, the quons statistics in the framework of kinetic theory is introduced. This is done by properly generalizing the inclusion/exclusion principle of standard boson and fermion statistics within a nonlinear classical model. The related nonlinear Fokker-Planck equation is introduced and the corresponding steady distribution describing quons statistics of type I and type II is derived.

Entropy and Non-Equilibrium Statistical Mechanics

“…In this paper, ‘Classical Model of Quons’, by G. Kaniadakis and A. M Scarfone [ 1 ] by using a kinetic interaction principle an evolution equation describing quons statistics is proposed by properly generalizing the inclusion/exclusion principle of standard boson and fermion statistics. In this way, a nonlinear Fokker-Planck equation for quons particles of type I and type II is introduced and the corresponding steady distribution is derived.…”

Entropy and Non-Equilibrium Statistical Mechanics

“…We hope that the Special Issue will be able to play a role in further progress to come in the future. In this paper, 'Classical Model of Quons', by G. Kaniadakis and A. M Scarfone [1] by using a kinetic interaction principle an evolution equation describing quons statistics is proposed by properly generalizing the inclusion/exclusion principle of standard boson and fermion statistics. In this way, a nonlinear Fokker-Planck equation for quons particles of type I and type II is introduced and the corresponding steady distribution is derived.…”