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Emergence of directed motion in a 2D system of Yukawa particles on 1D Ratchet

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  • Chugh, Anshika
  • Ganesh, Rajaraman

Abstract

In this work we report directed motion in a 2D system of particles interacting via Yukawa force on a one-dimensional asymmetric periodic Ratchet and subjected to time periodic drive. We have shown the presence of directed motion through a measure of non-zero average velocity despite external forces having zero spatio-temporal average. We find that the directed motion is a non-monotonic function of strength and frequency of external time periodic drive for a fixed set of Ratchet parameters. The peak of directed velocity is found to shift to high driving strengths with increase in driving frequency. The dynamics of the system is explored through various diagnostics such as average position, average velocity, diffusion, power cycle, probability distribution. Our system possess a peculiar feature called hysteresis in velocity when external drive force varies during its period, introducing a phase shift in the system. We find that it is the interplay of driving strength and frequencies that decides the dynamics of the system.

Suggested Citation

  • Chugh, Anshika & Ganesh, Rajaraman, 2022. "Emergence of directed motion in a 2D system of Yukawa particles on 1D Ratchet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    • Handle: RePEc:eee:phsmap:v:593:y:2022:i:c:s037843712200036x
    DOI: 10.1016/j.physa.2022.126913
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    References listed on IDEAS

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    1. Saikia, Shantu, 2017. "Ratchet effect in an underdamped periodic potential and its characterisation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 219-227.
    2. Wang, Hai-Yan & Bao, Jing-Dong, 2013. "Collective dynamics of two-dimensional coupled Brownian motors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4850-4855.
    3. C.-S. Lee & B. Jankó & I. Derényi & A.-L. Barabási, 1999. "Reducing vortex density in superconductors using the ‘ratchet effect’," Nature, Nature, vol. 400(6742), pages 337-340, July.
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