A THEORETICAL REVIEW OF FD STATISTICS IN CLASSICAL LIMIT: EQUIVALENCE OF FD AND MB STATISTICS

Abstract

In this brief communication, a systematic analysis on the FD distribution law is presented. It has been elucidated that in classical limit of high temperature or low density, FD statistics reduces to MB statistics. An empirical relation underlying the transition from Quantum to Classical statistics is reported in the present article. The equivalence in the nature of MB and FD distribution functions above certain critical energy value is depicted graphically. The fact has been established in the context of plasma electrons admissible in the near sheath region of laboratory dusty plasma set up. Coulomb coupling parameter for plasma electrons in dusty plasma environment is estimated to be much smaller than unity. The consideration of Maxwellian electrons has correctly accounted for the physical properties of laboratory dusty plasma system. An analytical justification of classical behaviour in fermions is presented in this article.