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5.6: The Kramers problem and the Smoluchowski equation
https://phys.libretexts.org/Bookshelves/Thermodynamics_and_Statistical_Mechanics/Essential_Graduate_Physics_-_Statistical_Mechanics_(Likharev)/05%3A_Fluctuations/5.06%3A_The_Kramers_problem_and_the_Smoluchowski_equation
The first form of this relation allows a simple interpretation: the probability flow is proportional to the spatial gradient of the probability density (i.e., in application to $N >> 1$ similar and ...The first form of this relation allows a simple interpretation: the probability flow is proportional to the spatial gradient of the probability density (i.e., in application to $N >> 1$ similar and independent particles, just to the gradient of their concentration $n = Nw$ ), with the sign corresponding to the flow from the higher to lower concentrations.

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