Floating Potential of Electrodes Results from Nonextensive Statistical Mechanics

Floating potential is one of the most important factors in the structure of plasma sheathwhich needs to study and investigate more. As we know when an object place (an object exist inplasma) in a plasma, electrons reach to the objects faster than the ions because of high velocity ofelectrons relative to the ions, hence the object or the wall has negative potential relative to theplasma. This potential as well as known floating potential and behaves as a potential barrier forelectrons and prevents more electron current toward the wall and attracts more ion current. Inrecent years, a great deal of consideration has been paid to the nonextensive generalization of theBoltzmann-Gibbs-Shannon (BGS) entropy where it has been successfully used to explain someinteresting problems in physics. Self-gravitating systems and plasma are two main candidatesthat use this entropy [1-3]. This entropy first recognized by Renyi [4] and then proposed byTsallis[5]. Tsallis proposed the q-entropy as qq B i iS  K (1P ) / (q 1) , where is the Boltzmannconstant, is the probability of the i’th microstate and q is a parameter quantifying the degree ofnon-extensivity of the system. In this work, floating potential of an electrode in contact withnonextensive plasma is obtained and the effect of nonextensivity parameter on this potential isstudied.

Keywords:

Nonextensive Statistical Mechanics , Floating Potential , Plasma Sheath