科研之友
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摘要
We deduce a nonlinear and inhomogeneous Fokker-Planck equation within a generalized Stratonovich, or stochastic alpha, prescription (alpha = 0, 1/2, and 1, respectively, correspond to the Ito, Stratonovich and anti-Ito prescriptions). We obtain its stationary state p(st)(x) for a class of constitutive relations between drift and diffusion and show that it has a q-exponential form, p(st)(x) = N-q[1 - (1 - q)beta V(x)](1/(1-q)), with an index q which does not depend on a in the presence of any nonvanishing nonlinearity. This is in contrast with the linear case, for which the index q is a dependent.
- 出版日期2014-9-16
