Diffusion Coefficient and Mobility of a Brownian Particle in a Tilted Periodic Potential(General)
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概要
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The Brownian motion of a particle in a one-dimensional periodic potential subjected to a uniform external force F is studied. Using the formula for the diffusion coefficient D obtained by other authors and an alternative one derived from the Smoluchowski equation in the present work, D is compared with the differential mobility μ=dν/dF where ν is the average velocity of the particle. Analytical and numerical calculations indicate that inequality D≥μk_BT, with k_B the Boltzmann constant and T the temperature, holds if the periodic potential is symmetric, while it is violated for asymmetric potentials when F is small but nonzero.
- 社団法人日本物理学会の論文
- 2005-08-15
著者
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Sasaki Kazuo
Department Of Neuropsychiatry Fukui Medical University
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Sasaki Kazuo
Tohoku Univ. Sendai
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AMARI Satoshi
Department of Applied Physics, Tohoku University
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Sasaki Kazuo
Department Of Applied Physics Tohoku University
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Amari Satoshi
Tohoku Univ. Sendai
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Amari Satoshi
Department Of Applied Physics Tohoku University
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