HEAT-CONDUCTION IN A FERMIONIC CRYSTAL

Linear diffusion in a system of non-interacting Fermion oscillators is constructed using the methods of statistical dynamics. The temperatur e distribution is shown to obey the heat equation C(v)(T)partial deriv ative(T)/partial derivative(t) = lambda div (C(v)(T) grad T)/2 where C (v) = partial derivative[E]/partial derivative T is the heat capacity/ molecule. An example shows that the system violates the 'principle of minimal entropy production' at a stationary state. The model confirms the similar conclusion drawn by M J Klein in 1956.