Anomalous Growth of the Diffusion in Space-Periodic Systems with a Low Energy Dissipation

  • Ivan Marchenko V.N. Karazin Kharkiv National University, Kharkiv, Ukraine; National Science Center “Kharkov Institute of Physics and Technology”, Kharkiv, Ukraine https://orcid.org/0000-0003-1341-4950
  • Igor Marchenko NTU "Kharkov Polytechnic Institute”, Kharkiv, Ukraine https://orcid.org/0000-0002-3071-9169
Keywords: diffusion, computer simulation, crystals, Langevin equation

Abstract

Computer simulation methods were used to investigate the particle diffusion in the periodic spatial potential under constant force exposure. The paper shows that, unlike a superdamped case, in the systems with weak energy dissipation a new critical force value arises due to the appearance of a fork-like bifurcation point. About this point an exponential growth of the diffusion coefficient with temperature decreasing is observed. It is noted that the time of transition to the steady-state distribution tends to infinity while the temperature tends to zero.

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Published
2012-11-23
Cited
How to Cite
Marchenko, I., & Marchenko, I. (2012). Anomalous Growth of the Diffusion in Space-Periodic Systems with a Low Energy Dissipation. East European Journal of Physics, (1025(4), 62-68. Retrieved from https://periodicals.karazin.ua/eejp/article/view/13650