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Directed motion of Brownian particles with internal energy depot

Author

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  • Tilch, Benno
  • Schweitzer, Frank
  • Ebeling, Werner

Abstract

A model of Brownian particles with the ability to take up energy from the environment, to store it in an internal depot, and to convert internal energy into kinetic energy of motion, is discussed. The general dynamics outlined in Section 2, is investigated for the deterministic and stochastic particle's motion in a non-fluctuating ratchet potential. First, we discuss the attractor structure of the ratchet system by means of computer simulations. Dependent on the energy supply, we find either periodic bound attractors corresponding to localized oscillations, or one/two unbound attractors corresponding to directed movement in the ratchet potential. Considering an ensemble of particles, we show that in the deterministic case two currents into different directions can occur, which however depend on a supercritical supply of energy. Considering stochastic influences, we find the current only in one direction. We further investigate how the current reversal depends on the strength of the stochastic force and the asymmetry of the potential. We find both a critical value of the noise intensity for the onset of the current and an optimal value where the net current reaches a maximum. Eventually, the dynamics of our model is compared with other ratchet models previously suggested.

Suggested Citation

  • Tilch, Benno & Schweitzer, Frank & Ebeling, Werner, 1999. "Directed motion of Brownian particles with internal energy depot," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 273(3), pages 294-314.
    • Handle: RePEc:eee:phsmap:v:273:y:1999:i:3:p:294-314
    DOI: 10.1016/S0378-4371(99)00247-2
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    References listed on IDEAS

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    1. Schweitzer, Frank & Schimansky-Geier, Lutz, 1994. "Clustering of “active” walkers in a two-component system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 359-379.
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    Cited by:

    1. Iina Hellsten & Renaud Lambiotte & Andrea Scharnhorst & Marcel Ausloos, 2007. "Self-citations, co-authorships and keywords: A new approach to scientists’ field mobility?," Scientometrics, Springer;Akadémiai Kiadó, vol. 72(3), pages 469-486, September.
    2. Guan, Lin & Fang, Yuwen & Li, Kongzhai & Zeng, Chunhua & Yang, Fengzao, 2018. "Transport properties of active Brownian particles in a modified energy-depot model driven by correlated noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 716-728.

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