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A random walker on a ratchet

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  • Mateos, José L.

Abstract

We analyze a model for a walker moving on a ratchet potential. This model is motivated by the properties of transport of motor proteins, like kinesin and myosin. The walker consists of two feet that are represented as two particles coupled nonlinearly through a bistable potential. In contrast to linear coupling, the bistable potential admits a richer dynamics, where the ordering of the particles can alternate during the walking. The transitions between the two stable states on the bistable potential correspond to a walking with alternating particles. We distinguish between two main walking styles: alternating and no alternating, resembling the hand-over-hand and the inchworm walking in motor proteins, respectively. When the equilibrium distance between the two particles divided by the periodicity of the ratchet is an integer, we obtain a maximum for the current, indicating optimal transport.

Suggested Citation

  • Mateos, José L., 2005. "A random walker on a ratchet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(1), pages 79-87.
    • Handle: RePEc:eee:phsmap:v:351:y:2005:i:1:p:79-87
    DOI: 10.1016/j.physa.2004.12.009
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    References listed on IDEAS

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    1. Sandrine Blanchemanche & Catherine Laurent & Marie-Françoise Mouriaux & Elsa Peskine, 2000. "Multifonctionnalité de l'agriculture et statuts d'activité," Économie rurale, Programme National Persée, vol. 260(1), pages 41-51.
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    Cited by:

    1. Li, Chen-Pu & Chen, Hong-Bin & Fan, Hong & Xie, Ge-Ying & Zheng, Zhi-Gang, 2018. "Cooperation and competition between two symmetry breakings in a coupled ratchet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 175-185.
    2. Lin, Lifeng & Wang, Huiqi & Ma, Hong, 2019. "Directed transport properties of double-headed molecular motors with balanced cargo," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 270-279.

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