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New Effects and Methods in Brownian Transport

Author

Listed:
  • Dmitri Martila

    (Independent Researcher, J. V. Jannseni 6-7, 80032 Pärnu, Estonia
    These authors contributed equally to this work.)

  • Stefan Groote

    (Institute of Physics, University of Tartu, W. Ostwaldi 1, 50411 Tartu, Estonia
    These authors contributed equally to this work.)

Abstract

We consider the noise-induced transport of overdamped Brownian particles in a ratchet system driven by nonequilibrium symmetric three-level Markovian noise and additive white noise. In addition to a detailed analysis of this system, we consider a simple example that can be solved exactly, showing both the increase in the number of current reversals and hypersensitivity. The simplicity of the exact solution and the model itself is beneficial for comparison with experiments.

Suggested Citation

  • Dmitri Martila & Stefan Groote, 2025. "New Effects and Methods in Brownian Transport," Stats, MDPI, vol. 8(3), pages 1-13, June.
    • Handle: RePEc:gam:jstats:v:8:y:2025:i:3:p:52-:d:1687980
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    References listed on IDEAS

    as
    1. T. Ross Kelly & Harshani De Silva & Richard A. Silva, 1999. "Unidirectional rotary motion in a molecular system," Nature, Nature, vol. 401(6749), pages 150-152, September.
    2. Berdichevsky, V. & Gitterman, M., 1998. "Stochastic resonance and ratchets – new manifestations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 249(1), pages 88-95.
    3. D. Martila & R. Mankin & R. Tammelo & A. Sauga & E. Reiter, 2006. "Constructive influence of noise-flatness in correlation ratchets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 54(3), pages 375-383, December.
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