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Abstract: A Brownian Motor is a nanoscale or molecular device that combines the effectsof thermal noise, spatial or temporal asymmetry, and directionless input energyto drive directed motion. Because of the input energy, Brownian motors functionaway from thermodynamic equilibrium and concepts such as linear responsetheory, fluctuation dissipation relations, and detailed balance do not apply.The {\em generalized} fluctuation-dissipation relation, however, states thateven under strongly thermodynamically non-equilibrium conditions the ratio ofthe probability of a transition to the probability of the time-reverse of thattransition is the exponent of the change in the internal energy of the systemdue to the transition. Here, we derive an extension of the generalizedfluctuation dissipation theorem for a Brownian motor for the ratio between theprobability for the motor to take a forward step and the probability to take abackward step.



Autor: R. Dean Astumian

Fuente: https://arxiv.org/







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