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Langevin Dynamics with a Tilted Periodic Potential

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Abstract

We study a Langevin equation for a particle moving in a periodic potential in the presence of viscosity γ and subject to a further external field α. For a suitable choice of the parameters α and γ the related deterministic dynamics yields heteroclinic orbits. In such a regime, in absence of stochastic noise both confined and unbounded orbits coexist. We prove that, with the inclusion of an arbitrarly small noise only the confined orbits survive in a sub-exponential time scale.

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Authors and Affiliations

  1. University of Modena and Reggio Emilia, via G. Campi 213/b, 41125, Modena, Italy

    Gioia Carinci

  2. University of Leipzig, Augustus Platz, 10-11, 04109, Leipzig, Germany

    Stephan Luckhaus

Authors
  1. Gioia Carinci
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  2. Stephan Luckhaus
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Correspondence to Gioia Carinci.

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Carinci, G., Luckhaus, S. Langevin Dynamics with a Tilted Periodic Potential. J Stat Phys 151, 870–895 (2013). https://doi.org/10.1007/s10955-013-0721-0

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  • DOI: https://doi.org/10.1007/s10955-013-0721-0

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