Breaking the symmetry of a Brownian motor with symmetric potentials

Details Breaking the symmetry of a Brownian motor with symmetric potentials Breaking the symmetry of a Brownian motor with symmetric potentials

2010-12-29

arxiv.org/abs/1012.5937v2

J. Phys. A: Math. Theor. 44 (2011) 155002

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/1751-8113/44/15/155002

The directed transport of Brownian particles requires a system with an asymmetry and with non-equilibrium noise. We here investigate numerically alternative ways of fulfilling these requirements for a two-state Brownian motor, realised with Brownian particles alternating between two phase-shifted, symmetric potentials. We show that, besides the previously known spatio-temporal asymmetry based on unequal transfer rates between the potentials, inequalities in the potential depths, the frictions, or the equilibrium temperatures of the two potentials also generate the required asymmetry. We also show that the effects of the thermal noise and the noise of the transfer's randomness depend on the way the asymmetry is induced.

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