We investigate the nonextensive q-distribution function for a gas in the presence of an external field of force possessing a potential U(r). In the case of a dilute gas, we show that the power-law distribution including the potential energy factor term can rigorously be deduced based on kinetic...

The analytical and computational studies of various isolated classical Hamiltonian systems including long-range interactions suggest that the N→∞ and t→∞ limits do not commute for entire classes of initial conditions. This is, for instance, the case for inertial planar rotators whenever...