Diffusion and Current of Brownian Particles in Tilted Piecewise Linear Potentials: Amplification and Coherence

Abstract

Overdamped motion of Brownian particles in tilted piecewise linear periodic potentials is considered. Explicit algebraic expressions for the diffusion coefficient, current, and coherence level of Brownian transport are derived. Their dependencies on temperature, tilting force, and the shape of the potential are analyzed. The necessary and sufficient conditions for the non-monotonic behavior of the diffusion coefficient as a function of temperature are determined. The diffusion coefficient and coherence level are found to be extremely sensitive to the asymmetry of the potential. It is established that at the values of the external force, for which the enhancement of diffusion is most rapid, the level of coherence has a wide plateau at low temperatures with the value of the Peclet factor 2. An interpretation of the amplification of diffusion in comparison with free thermal diffusion in terms of probability distribution is proposed.

To appear in PRE

References in corpus (4)

• Brownian motors: noisy transport far from equilibrium
• Giant diffusion and coherent transport in tilted periodic inhomogeneous systems
• Interplay of frequency-synchronization with noise: current resonances, giant diffusion and diffusion-crests
• Three and four current reversals versus temperature in correlation ratchets with a simple sawtooh potential

Cited by in corpus (9)

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• Non-monotonic temperature dependence of chaos-assisted diffusion in driven periodic systems
• Corrections to Einstein's relation for Brownian motion in a tilted periodic potential
• Fractional diffusion in periodic potentials
• Effective diffusion coefficient in tilted disordered potentials: Optimal relative diffusivity at a finite temperature
• Diffusion in Flashing Periodic Potentials