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The effect of temperature on viscous friction and the performance of a\n Brownian heat engine

2015/07/07 by Solomon Duki, Duki, Solomon Fekade, Mesfin Asfaw Taye +1
Physics and Astronomy · Engineering · #Advanced Thermodynamics and Statistical Mechanics #stochastic dynamics and bifurcation #Thermal Radiation and Cooling Technologies

paper · pdf · doi:10.48550/arxiv.1507.02005

Abstract

We explore the transport features of a Brownian particle that walks in a\nperiodic ratchet potential that is coupled with a spatially varying temperature\nbackground. Since the viscous friction of the medium decreases as the\ntemperature of the medium increases, any reasonable exploration regarding the\nthermodynamic features of the Brownian engine should take into account the role\nof temperature on the viscosity of the fluid. In this work, we study this\neffect of temperature by considering a viscous friction that decreases\nexponentially as the background temperature increases. Our result depicts that\nthe Brownian particle exhibits a fast unidirectional motion when the viscous\nfriction is temperature dependent than that of constant viscous friction.\nMoreover the efficiency of this motor is considerably enhanced when the viscous\nfriction is temperature dependent. On the hand, the motor exhibits a higher\nperformance of the refrigerator when the viscose friction is taken to be\nconstant.\n

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