It is shown exactly that, in a one-dimensional system of hard rods with spins, the autocorrelation function of any function of spin F(w) decays as t-1 at long times provided that <F>eq exists and that g (0) ≠ 0, where g (v) is the linear velocity distribution function. As a consequence of this, when F(w) = w, the spin diffusion coefficient defined by the Kubo relation Ds = ∫0∫ <w(0)w(t)> X d t does not exist. The results are true for arbitrary initial equilibrium velocity and spin distributions, the only restriction being that they be symmetric.
|Original language||English (US)|
|Number of pages||4|
|Journal||Journal of Mathematical Physics|
|State||Published - 1974|