Generic principles of active transport
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