The temperature relaxation in a fully ioniyad plasma is discussed, which consists of electrons and one kind of positive ions.
The dynamical behaviour of a test ion is trested as a Brownion motion, where the swall-angle collisions only are considered. The relaxation time between ion and electron-temperatures has been calculated, which reads
3/16√πe4 m1m2/n1+n2 (kT1/m1+kT2/m2) 3/2 [log (λbkwax)] -1,
Where -e is the electonic charge, m the mass, n the number deusity, λD the Debye length, and kmax the inverse mean distance between electrons and ions.
It is worth to notice that the result is completely symmetric about the electron and the ion, although the effect of large-angle collisions has not been taken into accounts.