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Difussion in a titled periodic potential: Enhancement, universality, and scaling
Reimann, P.; Van den Broek, C.; Linke, H.; Hänggi, Peter; Rubí Capaceti, José Miguel; Pérez Madrid, Agustín
Universitat de Barcelona
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.
26-07-2011
Física estadística
Sistemes no lineals
Física matemàtica
Statistical physics
Nonlinear systems
Mathematical physics
(c) American Physical Society, 2002
Artículo
The American Physical Society
         

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