Coherence And Nonequilibrium Steady State Of A Simple Brownian Heat Engine

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Overdamped motion of a Brownian particle in a ratchet potential with space dependentrntemperature is studied. Explicit analytic expressions for particle steady staternvelocity, diffusion coefficient and Peciet number which characterizes the transport arernderived. Their dependencies on temperature profile, tilting force, the shape of thernpotential and barrier height are analyzed. We show that the asymmetry parameterrnof the potential along with temperature profile can enhance or suppress effectiverndiffusion coefficient compared to that of free diffusion. The Peciet number is alsornshown to be very sensitive to temperature profile and asymmetry of the potential.rnAt moderate values of asymmetry parameter an optimized transport with respect torntemperature profile and barrier height is observed. We show that our model exhibitsrna pronounced coherence in a wide range of model parameters.rnWe also propose a systematic way of studying the mobility of a particie described byrnLangevin equation with nonuniform temperature in the absence of bias. It is shownrnthat for a symmetric potential, mobility increases monotonically and saturates to onernfor large values of temperature profile. Based on our formulation, we also study therneffective temperature of the model. It is shown that for a symmetric potential, therneffective temperature of the system is greater than that of the temperature of therncold region of the ratchet potential

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Coherence And Nonequilibrium Steady State Of A Simple Brownian Heat Engine

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