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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc80-0-6, author = {Mauro Mobilia and Tobias Reichenbach and Hauke Hinsch and Thomas Franosch and Erwin Frey}, title = {Generic principles of active transport}, journal = {Banach Center Publications}, volume = {83}, year = {2008}, pages = {101-120}, zbl = {1143.82025}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc80-0-6} }
Mauro Mobilia; Tobias Reichenbach; Hauke Hinsch; Thomas Franosch; Erwin Frey. Generic principles of active transport. Banach Center Publications, Tome 83 (2008) pp. 101-120. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc80-0-6/