Sinitsyn and Nemenman, 2007a

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NA Sinitsyn and I Nemenman. Universal geometric theory of mesoscopic stochastic pumps and reversible ratchets. Phys. Rev. Lett. 99:220408, 2007. PDF.

We construct a unifying theory of geometric effects in mesoscopic stochastic kinetics. The theory shows that the adiabatic pump and the reversible ratchet effects, as well as similar phenomena in other domains, such as in epidemiology, all follow from geometric phase contributions to the effective action in the stochastic path integral representation of the moment generating function.