PARTICLE DIFFUSION ACCELERATION IN SPATIALLY PERIODIC STRUCTURES EXPOSED TO RECTANGULAR TIME-PERIODIC FIELDS

  • I. G. Marchenko National Scientific Center “Kharkiv Institute of Physics and Technology”1, Akademicheskaia St., Kharkov, 61108, UkraineV.N. Karazin Kharkov National University4 Svobody Sq., Kharkov, 61077, Ukraine https://orcid.org/0000-0003-1341-4950
  • I. I. Marchenko NTU „Kharkov Polytechnic Institute”21 Frunze St., Kharkov, 61145, Ukraine https://orcid.org/0000-0002-3071-9169

Abstract

This scientific paper studies the abnormal diffusion of particles in spatially periodic structures exposed to the action of time –periodic rectangular fields. A choice of such a type of the field is related to the need of finding out physical reasons for an increase in the diffusion coefficient at different field amplitudes. As for the impact on the diffusion coefficient the entire eventual amplitude range was divided into three domains whose functional behavior of the diffusion coefficient differs with a change in temperature. It has been shown that the maximum increase in the diffusion can be reached only in the narrow amplitude range of the external periodic force defined by system dissipative properties. This range shows abnormal temperature relationship of the diffusion coefficient, in particular its exponential growth with a drop in temperature. A physical reason for such an abnormal increase in diffusion can be the availability of two populations of particles: “localized” and “running”. An optimal choice of the amplitude of the external field provides long jumps of running particles in comparison with localized ones. The amplification ratio of the diffusion can significantly be changed through the variation of the frequency and amplitude of the external field. This offers the challenge for new technological applications of studied effects.

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Author Biography

I. G. Marchenko, National Scientific Center “Kharkiv Institute of Physics and Technology”1, Akademicheskaia St., Kharkov, 61108, UkraineV.N. Karazin Kharkov National University4 Svobody Sq., Kharkov, 61077, Ukraine

References

Costantini G., Marchesoni F. Threshold diffusion in a tilted washboard potential // Europhys. Lett. – 1999. – Vol.48. – P.491.

Hänggi P., Marchesoni F. Artificial Brownian motors: Controlling transport on the nanoscale // Rev. Mod. Phys. – 2009. – Vol. 81. – P. 337–442.

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.

Lacasta A.M., Sancho J.M., Romero A.H., Sokolov I.M., Lindenberg K. From subdiffusion to superdiffusion of particles on solid surfaces // Phys. Rev. – 2004. – Vol. E70. – P. 051104.

Risken H. The Fokker-Planck Equation and Methods of Solution and Applications (Springer) 1989.

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.

Marchenko I.G., Marchenko I.I. Anomalous temperature dependence of diffusion in crystals in time-periodic external fields // JETP Letters. – 2012. – Vol. 95, No. 3. – P. 137–142.

Lindenberg K., Sancho J.M., Lacasta A. M., Sokolov I.M. Dispersionless Transport in a Washboard Potential // Phys. Rev. Let. – 2007. – Vol. 98. – P. 020602. (4 pp.)

Кузнецов Д.Ф. Стохастические дифференциальные уравнения: теория и практика численного решения.– Санкт–Петербург: Из–во Политех. ун–та, 2007. – 800 c.

Sancho J.M., Lacasta A.M., Lindenberg K., Sokolov I.M., Romero A.H. Diffusion on a Solid Surface: Anomalous is Normal // Phys. Rev. Let. – 2004. – Vol. 92. – P. 250601. (4 pp.)

Siegle P., Goychuk I., Hanggi P. Origin of Hyperdiffusion in Generalized Brownian Motion // Phys. Rev. Lett. – 2010. –

Vol.105. – P.100602 (4 pp.)

Зеленый Л.М., Милованов А.В. Фрактальная топология и странная кинетика: от теории перколяции к проблемам

космической электродинамики // УФН. – 2004. – Т. 174. – No.8. – С. 809–852.

Marchenko I.G., Marchenko I.I. Abnormal surface diffusion of particles under the action of an external time-periodic force // Journal of Physics: Conf. Ser.– 2014.– Vol. 514. – P. 012045 (1–5).

Marchenko I.G., Marchenko I.I. Particle transport in space-periodic potentials in under-damped systems// European Physical Journal B. – 2014.– Vol. 87.– P. 10 (7 pp.).

Bruch L.W., Diehl R.D., Venables J.A. Progress in the measurement and modeling of physisorbed layers // Rev. Mod. Phys.– 2007.– Vol. 79.– P. 1381– 1454.

Krim J. Friction and energy dissipation mechanisms in adsorbed molecules and molecularly thin films // Advances in Physics.– 2012.– Vol. 61. – No. 3.– P. 155–323.

Published
2015-11-23
Cited
How to Cite
Marchenko, I. G., & Marchenko, I. I. (2015). PARTICLE DIFFUSION ACCELERATION IN SPATIALLY PERIODIC STRUCTURES EXPOSED TO RECTANGULAR TIME-PERIODIC FIELDS. East European Journal of Physics, 2(3), 55-63. https://doi.org/10.26565/2312-4334-2015-3-07