Particle transport in space-periodic potentials in underdamped systems
Abstract
This scientific paper uses the methods of computer simulation to study the motion of particles in a washboard potentials in a wide temperature range. Using the previous data and the data obtained for this scientific paper we showed that the underdamped motion of particles in a spatial periodic potential can be considered as the overdamped motion in the velocity space in the effective double-well potential. A phenomenological model of the motion of the ensemble of underdamped particles has been formulated. Simple analytic expressions for the particle mobility and diffusion coefficient have been derived. The results of analytical computations match well with numerical simulation data.
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References
Risken H. The Fokker-Planck equation and methods of solution and applications. – Springer, 1989. – 485 p.
Hänggi P., Marchesoni F. Artificial Brownian motors: Controlling transport on the nanoscale // Rev. Mod. Phys. – 2009. – Vol. 81. – P. 337–442.
Marchenko I.G., Marchenko I.I. Diffusion in the systems with low dissipation: Exponential growth with temperature drop // Europhisics Letters. – 2012. – Vol. 100. –P. 5005.
Machura L., Kostur M., Talkner P., et. al. Brownian motors: Current fluctuations and rectification efficiency // Phys. Rev.- 2004.- Vol. E70.- P. 061105.
Reimann P., Van den Broeck C., Linke H., Hänggi P., Rubi J.M., Perez-Madrid A. Diffusion in tilted periodic potentials: Enhancement, universality, and scaling // Phys. Rev. – 2002.- Vol. E 65. – P. 031104.
Marchenko I.G., Marchenko I.I. Anomalous Temperature Dependence of Diffusion in Crystals in Time-Periodic External Fields // JETP Letters. – 2012. - Vol.95, №3. – P. 137–142.
Sancho J.M., Lacasta A.M. The rich phenomenology of Brownian particles in nonlinear potential landscapes // Eur. Phys. J. Special Topics. - 2010. – Vol.187. – P. 49–62.
Costantini G., Marchesoni F. Threshold diffusion in a tilted washboard potential // Europhys. Lett. – 1999. – Vol. 48 (5). - P.491-497.
Lindenberg K., Lacasta A.M., Sancho J.M., Romero A.H. Transport and diffusion on crystalline surfaces under external forces // New Journal of Physics. – 2005. – Vol.7. – P.29.
Lindenberg K., Sancho J.M., Lacasta A.M., Sokolov I.M. Dispersionless Transport in a Washboard Potential // Phys. Rev. Lett. – 2007. – Vol.98. – P.020602.
Lindner B., Nicola E.M. Critical Asymmetry for Giant Diffusion of Active Brownian Particles // Phys. Rev. Lett. – 2008. – Vol. 101. – P.190603.
Gardiner C.W. Handbook of stochastic methods for Physics, chemistry and natural sciences (Springer-Verlag), 1981.
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