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Title
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Diffusion in tilted periodic potentials: enhancement, universality, and scaling
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Author
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Abstract
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| An exact analytical expression for the effective diffusion coefficient of an overdamped Brownian particle in a tilted periodic potential is derived for arbitrary potentials and arbitrary strengths of the thermal noise. Near the critical tilt (threshold of deterministic running solutions) a scaling behavior for weak thermal noise is revealed and various universality classes are identified. In comparison with the bare (potential-free) thermal diffusion, the effective diffusion coefficient in a critically tilted periodic potential may be, in principle, arbitrarily enhanced. For a realistic experimental setup, an enhancement by 14 orders of magnitude is predicted so that thermal diffusion should be observable on a macroscopic scale at room temperature. |
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Language
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English
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Source (journal)
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Physical review : E : statistical, nonlinear, and soft matter physics / American Physical Society. - Melville, N.Y., 2001 - 2015
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Publication
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Melville, N.Y.
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American Physical Society
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2002
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ISSN
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1539-3755
[print]
1550-2376
[online]
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DOI
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10.1103/PHYSREVE.65.031104
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Volume/pages
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65
(2002)
, p. 031104,1-16
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ISI
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000174548800014
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Full text (Publisher's DOI)
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Full text (open access)
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