The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Giant Acceleration of Free Diffusion by Use of Tilted Periodic Potentials
Open accessAbstract
The effective diffusion coefficient for the overdamped Brownian motion in a tilted periodic potential is calculated in closed analytical form. Universality classes and scaling properties for weak thermal noise are identified near the threshold tilt where deterministic running solutions set in. In this regime the diffusion may be greatly enhanced, as compared to free thermal diffusion with, for a realistic experimental setup, an enhancement of up to 14 orders of magnitude.
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Cites
The Fokker-Planck Equation: Methods of Solution and Applications
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Reaction-rate theory: fifty years after Kramers
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On the Self-Diffusion of Ions in a Polyelectrolyte Solution
Lifson, S., & Jackson, J. L. (1962) · The Journal of Chemical Physics · doi:10.1063/1.1732899 · Cited by 337
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Fulde, P., Pietronero, L., Schneider, W. R., & Strässler, S. (1975) · Physical Review Letters · doi:10.1103/physrevlett.35.1776 · Cited by 239
Threshold diffusion in a tilted washboard potential
Costantini, G., & Marchesoni, F. (1999) · Europhysics Letters (EPL) · doi:10.1209/epl/i1999-00510-7 · Cited by 191
First passage time distributions for finite one-dimensional random walks
Khantha, M., & Balakrishnan, V. (1983) · Pramana · doi:10.1007/bf02894735 · Cited by 31
Noise and Nonlinear Phenomena in Nuclear Systems
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Cited by
Stochastic thermodynamics, fluctuation theorems and molecular machines
Seifert, U. (2012) · Reports on Progress in Physics · doi:10.1088/0034-4885/75/12/126001 · Cited by 3,300
Metadata
- Authors
- Reimann, P., Van den Broeck, C., Linke, H., Hänggi, P., Rubi, J. M., & Pérez-Madrid, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2001-06-18
- Volume
- 87
- Issue
- 1
- Pages
- 010602-010602
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2157825109
- Cited by
- 462
- References
- 9
- FWCI
- 7.43
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Reimann, P., Van den Broeck, C., Linke, H., Hänggi, P., Rubi, J. M., & Pérez-Madrid, A. (2001). Giant Acceleration of Free Diffusion by Use of Tilted Periodic Potentials. Physical Review Letters. https://doi.org/10.1103/physrevlett.87.010602
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