Q-STATISTICS AND THE MASTER EQUATION

Master equations of statistical physics can be described using a pseud o-quantum formalism. This formalism is applied here to operators (a) o ver cap and (a) over cap(dagger) which satisfy the nonstandard commuta tion relation of a g-statistics ((a) over cap (a) over cap(dagger) - q (a) over cap(dagger)(a) over cap = 1). In the simplest cases, this le ads to a master equation which describes unusual dynamics and equilibr ium distributions which are a generalization of Poisson statistics. As a physical realization with a temperature dependent q-factor we discu ss the exchange of particles in a pore. There results a phase transiti on at a critical confinement temperature T-c below which complete exch ange is impossible. (C) 1997 Elsevier Science B.V.