Symmetries of the ratchet current

Details Symmetries of the ratchet current Symmetries of the ratchet current

2006-10-13

arxiv.org/abs/cond-mat/0610369v2

Physics

Condensed Matter

Statistical Mechanics

13 pages, heavily extended version

Scientific paper

10.1103/PhysRevE.76.051117

Recent advances in nonequilibrium statistical mechanics shed new light on the ratchet effect. The ratchet motion can thus be understood in terms of symmetry (breaking) considerations. We introduce an additional symmetry operation besides time-reversal, that effectively reverses the nonequilibrium driving. That operation of field-reversal combined with time-reversal decomposes the nonequilibrium action so to clarify under what circumstances the ratchet current is a second order effect around equilibrium, what is the direction of the ratchet current and what are possibly the symmetries in its fluctuations.

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