Lattice Model Of Brownain Motor

Nowadays science focuses on small size machine such as Brownian motors duernto the need to use energy at small scale. Thus it is important to develop model forrnstudying their working principles. One famous model is Feynman's ratchet and pawlrnsystem. We developed a discrete lattice model for this system.rnThe model is Brownian particles moving in a sawtooth potential with or with outrnexternal load and trap potential in one dimensional discrete lattice and the latticernis periodically coupled to two (hot and cold) heat reservoirs. We found explicitrnexpressions for current, drift velocity, efficiency and coefficient of performance asrna function of the parameters characterizing the model. The parameters are traprnpotential, ratchet barrier, the strength of noise of the hot reservoir and the externalrnload. From detailed analysis of the expressions we are able to observe thatrn• trap potential affects the current. Current decreases as the strength of traprndepth increases. 'D:ap is obstacle for both directions of motion.rn• the noise and the load are the sources of current andrn• the ratchet barrier is responsible for rectification of the noise

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