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Difussion in a titled periodic potential: Enhancement, universality, and scaling
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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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REIMANN, Peter, et al. Difussion in a titled periodic potential: Enhancement, universality, and scaling. Physical Review E. 2002. Vol. 65, num. 3, pags. 031104-1-031104-16. ISSN 1063-651X. [consulted: 11 of August of 2026]. Available at: https://hdl.handle.net/2445/18866