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Directed transport of Brownian particles in a double symmetric potential
Author(s) -
Laurent Sanchez-Palencia
Publication year - 2004
Publication title -
physical review e
Language(s) - English
Resource type - Journals
eISSN - 1550-2376
pISSN - 1539-3755
DOI - 10.1103/physreve.70.011102
Subject(s) - brownian motion , physics , hamiltonian (control theory) , symmetry breaking , symmetry (geometry) , classical mechanics , brownian dynamics , periodic potential , brownian motor , statistical physics , quantum mechanics , mathematics , geometry , work (physics) , mathematical optimization , ratchet
We investigate the dynamics of Brownian particles in internal state-dependent symmetric and periodic potentials. Although no space or time symmetryof the Hamiltonian is broken, we show that directed transport can appear. Wedemonstrate that the directed motion is induced by breaking the symmetry of thetransition rates between the potentials when these are spatially shifted.Finally, we discuss the possibility of realizing our model in a system of coldparticles trapped in optical lattices.Comment: to appear in Physical Review

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