Enhancement of transport properties of a Brownian particle due to quantum effects: Smoluchowski limit

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• 作者：Anindita Shit^a ; Sudip Chattopadhyay^a ; ^{sudip_chattopadhyay@rediffmail.com} ; Jyotipratim Ray Chaudhuri^b ; ^{jprc_8@yahoo.com}
• 关键词：Quantum Brownian particle ; Quantum Smoluchowski equation ; Tilted periodic potential ; Quantum diffusion coefficient and current ; State dependent diffusion ; Coordinate transformation
• 刊名：Chemical Physics
• 出版年：2012
• 期刊代码：18_03010104
• 类别：ch
• 出版时间：13 March, 2012
• 卷：397
• 期：Complete
• 页码：48-54
• 文件大小：261 K

摘要

The transport property of a quantum Brownian particle that interacts strongly with a bath (in which a typical damping constant by far exceeds a characteristic frequency of the isolated system) under the influence of a tilted periodic potential has been studied by solving quantum Smoluchowski equation (QSE). By invoking physically motivated coordinate transformation into QSE, we have presented a transparent treatment for the determination of the effective diffusion coefficient of a quantum Brownian particle and the current (the average stationary velocity). Substantial enhancement in the efficiency of the diffusive transport is envisaged due to the quantum correction effects only if the bath temperature hovers around an appropriate range of intermediate values. Our findings also confirm the results obtained in the classical cases.