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Special Issue on Noise in Condensed Matter and Complex Systems; Guest Editors: Werner Ebeling and Bernardo SpagnoloNo Access

STOCHASTIC DYNAMICS OF ACTIVE AGENTS IN EXTERNAL FIELDS

    We study dynamics of active Brownian particles in two dimensions under the influence of external fields of forces. Several generic fields are considered, including symmetric linear attraction to a center, asymmetric linear attraction and a field described by a double well potential. We show the formation of limit cycles, which reflect collective rotational motion of the particles and study the influence of asymmetry on collective motion. In the case of the double well potential we study the transition rates between potential wells and show their crucial dependence on a parameter which determines activeness of the particles.

    References

    • F.   Schweitzer , Brownian Agents and Active Particles ( Springer , Berlin , 2002 ) . Google Scholar
    • T.   Vicsek , Fluctuations and Scaling in Biology ( University Press , Oxford , 2001 ) . Google Scholar
    • L. Schimansky-Geieret al., Phys. Lett. A 207, 140 (1995). Crossref, ISIGoogle Scholar
    • A. Ordemann, G. Balazsi and F. Moss, Physica A 325(1-2), 260 (2003). Crossref, ISIGoogle Scholar
    • A. Scharnhorst, Models for the dynamics of values and competence development in: Kompetenzbiographie – Kompetenzmileu – Kompetenztransfer. eds. J. Erpenbeck and V. Heyse, QUEM Report, Issue 62, Berlin (1999), pp. 106–140 . Google Scholar
    • J.   Erpenbeck and L.   von Rosenstiel (eds.) , Handbuch Kompetenzmessung ( Schaffer-Poeschel Stuttgart , 2003 ) . Google Scholar
    • D. S.   Rychen and L. H.   Salganik (eds.) , Defining and Selecting Key Competencies ( Hogrefe and Huber , Seattle , 2001 ) . Google Scholar
    • F. Schweitzer, W. Ebeling and B. Tilch, Phys. Rev. Lett. 80, 5044 (1998). Crossref, ISIGoogle Scholar
    • W. Ebeling, F. Schweitzer and B. Tilch, BioSystems 49, 17 (1999). Crossref, ISIGoogle Scholar
    • U. Erdmannet al., Eur. Phys. J. B 15, 105 (2000). Crossref, ISIGoogle Scholar
    • P. Hänggi, P. Talkner and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990). Crossref, ISIGoogle Scholar
    • U. Erdmann, W. Ebeling and V. Anishchenko, Phys. Rev. E 65, 061106 (2001). Crossref, ISIGoogle Scholar
    • E. Shidlovskaya, L. Schimansky-Geier and Yu. Romanovski, Z. phys. Chemie 214, 65 (2000). Google Scholar
    • W. Ebelinget al., Fluctuation & Noise Letters 4, L183 (2004). LinkGoogle Scholar
    • L. Pohlmann and H. Tributsch, Electrochim. Acta 42, 2737 (1997). Crossref, ISIGoogle Scholar
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