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The European Physical Journal Special Topics

, Volume 187, Issue 1, pp 49–62 | Cite as

The rich phenomenology of Brownian particles in nonlinear potential landscapes

  • J.M. SanchoEmail author
  • A.M. Lacasta
Article

Abstract

Non-interacting Brownian particles obey Langevin equations fulfilling a fluctuation–dissipation relation between friction and thermal noise. Under a linear potential (constant force) Einstein found a relation between diffusion and transport through mobility. In nonlinear potentials this prediction is only satisfied within the limits of very small and large constant external forces. Moreover, other more interesting behaviors do appear, such as: dispersionless transport, sorting, giant diffusion, subdiffusion, superdiffusion, subtransport, etc. All these phenomena depend on the characteristics of the nonlinear potential landscape: periodic or random, the symmetries and boundary conditions. Moreover, the presence of transport is the keystone of most of this phenomenology. In this review, we present numerical simulations illustrating these facts and theoretical analysis when possible.

Keywords

European Physical Journal Special Topic Brownian Particle Periodic Potential Critical Force Random Potential 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences and Springer 2010

Authors and Affiliations

  1. 1.Departament d’Estructura i Constituents de la MatèriaUniversitat de BarcelonaBarcelonaSpain
  2. 2.Departament de Física AplicadaUniversitat Politèctica de CatalunyaBarcelonaSpain

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