Generic principles of active transport

Volume 80 / 2008

Mauro Mobilia, Tobias Reichenbach, Hauke Hinsch, Thomas Franosch, Erwin Frey Banach Center Publications 80 (2008), 101-120 MSC: Primary 82C70; Secondary 82C26, 92C45. DOI: 10.4064/bc80-0-6

Abstract

Nonequilibrium collective motion is ubiquitous in nature and often results in a rich collection of intriguing phenomena, such as the formation of shocks or patterns, subdiffusive kinetics, traffic jams, and nonequilibrium phase transitions. These stochastic many-body features characterize transport processes in biology, soft condensed matter and, possibly, also in nanoscience. Inspired by these applications, a wide class of lattice-gas models has recently been considered. Building on the celebrated totally asymmetric simple exclusion process (TASEP) and a generalization accounting for the exchanges with a reservoir, we discuss the qualitative and quantitative nonequilibrium properties of these model systems. We specifically analyze the case of a dimeric lattice gas, the transport in the presence of pointwise disorder and along coupled tracks.

Authors

  • Mauro MobiliaArnold Sommerfeld Center for Theoretical Physics (ASC)
    and Center for NanoScience (CeNS)
    Department of Physics
    Ludwig-Maximilians-Universität München
    Theresienstrasse 37
    D-80333 München, Germany
    e-mail
  • Tobias ReichenbachArnold Sommerfeld Center for Theoretical Physics (ASC)
    and Center for NanoScience (CeNS)
    Department of Physics
    Ludwig-Maximilians-Universität München
    Theresienstrasse 37
    D-80333 München, Germany
    e-mail
  • Hauke HinschArnold Sommerfeld Center for Theoretical Physics (ASC)
    and Center for NanoScience (CeNS)
    Department of Physics
    Ludwig-Maximilians-Universität München
    Theresienstrasse 37
    D-80333 München, Germany
    e-mail
  • Thomas FranoschArnold Sommerfeld Center for Theoretical Physics (ASC)
    and Center for NanoScience (CeNS)
    Department of Physics
    Ludwig-Maximilians-Universität München
    Theresienstrasse 37
    D-80333 München, Germany
    e-mail
  • Erwin FreyArnold Sommerfeld Center for Theoretical Physics (ASC)
    and Center for NanoScience (CeNS)
    Department of Physics
    Ludwig-Maximilians-Universität München
    Theresienstrasse 37
    D-80333 München, Germany
    e-mail

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