- m at . s of t ] 2 7 A ug 2 00 2 On the amplification of diffusion by direct current
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چکیده
The diffusive motion of overdamped Browninan particles in tilted piecewise linear potentials is considered. It is shown that the enhancement of diffusion coefficient by an external static force is quite sensitive to the symmetry of periodic potential. The factor of randomness as a function of the tilting force exhibits a plateau-like behaviour in the region of low temperatures. Various aspects of the dynamics and, in particular, diffusion of Brownian particles in external periodic potentials have been a subject of growing interest in the last few years [1]-[3]. In the case of thermal equilibrium, the overdamped force-free thermal diffusion of non-interacting Brownian particles is always reduced when an additional periodic potential is applied to the system [4]. Therefore one tends to think that a qualitatively similar behaviour is valid at least for some time-independent non-equilibrium systems. However, recently it was discovered that the opposite is the case: in the seminal papers [5, 6] it was demonstrated that a giant enhancement of diffusion will take place if one applies, in addition to a periodic potential, a constant tilting force. Refs. [5, 6] predict that the enhancement of diffusion can be as large as even up to fourteen orders of magnitude under realistic room temperature conditions. The rapid increase of effective diffusion coefficient appears due to the 1
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