Ma. Munoz et Pl. Garrido, A TEST FOR 2 FOKKER-PLANCK MODELINGS OF A MASTER EQUATION, Journal of physics. A, mathematical and general, 28(9), 1995, pp. 2637-2646
The kind of two Fokker-Planck equation modellings of a non-equilibrium
system, defined by a two-variable master equation, is studied. We com
pute explicitly their associated stationary potentials in the weak noi
se limit, and we compare them with the exact one coming from the maste
r equation. We find that a recently proposed Fokker-Planck equation is
far better than the other coming from the commonly used Kramers-Moyal
expansion.