On the amplification of diffusion on piecewise linear potentials by direct current

نویسنده

  • Els Heinsalu
چکیده

The diffusive motion of overdamped Brownian 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. Another new effect found is that the factor of randomness as a function of the tilting force exhibits a plateau-like behaviour in the region of low temperatures. PACS numbers: 05.40.-a, 05.60.-k Various aspects of the dynamics of Brownian particles in external periodic potentials have been a subject of growing interest in the last few years [13]. The interplay of noise and nonlinear dynamics produces a rich variety of remarkable physical effects, for example, the dependence of the (direction of) particle current on the statistical properties of the nonequilibrium fluctuations which induce the current [1,4-6]. The present paper addresses the interrelationship between the current and diffusion of the Brownian particles on tilted simple sawtooth potentials. In the case of thermal equilibrium, the overdamped force-free thermal diffusion of mutually non-interacting Brownian particles is always reduced when a additional periodic potential is applied to the system, as corresponding localization of the particles occurs [7]. 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 [8, 9] it Corresponding author. Fax. +372-7-375570; Tel. +372-7-375571; E-mail: [email protected]

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تاریخ انتشار 2002