Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-05-15
Phys. Rev. Lett. 99, 220408 (2007)
Physics
Condensed Matter
Statistical Mechanics
5 pages
Scientific paper
10.1103/PhysRevLett.99.220408
We construct a unifying theory of geometric effects in mesoscopic stochastic kinetics. We demonstrate that the adiabatic pump and the reversible ratchet effects, as well as similar new 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. The theory provides the universal technique for identification, prediction and calculation of pump-like phenomena in an arbitrary mesoscopic stochastic framework.
Nemenman Ilya
Sinitsyn Nikolai A.
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