Nonlinear diffusion from Einstein's master equation
نویسندگان
چکیده
منابع مشابه
Nonlinear diffusion from Einstein’s master equation
Abstract. We generalize Einstein’s master equation for random walk processes by considering that the probability for a particle at position r to make a jump of length j lattice sites, Pj(r) is a functional of the particle distribution function f(r, t). By multiscale expansion, we obtain a generalized advection-diffusion equation. We show that the power law Pj(r) ∝ f(r) α−1 (with α > 1) follows ...
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ژورنال
عنوان ژورنال: Europhysics Letters (EPL)
سال: 2007
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/80/60006