Alladi Ramakrishnan Hall

Two Species Semipermeable Exclusion Processes

Arvind Ayyer

IISc, Bangalore

In joint works with E. R. Speer and J. L. Lebowitz, we consider
two-species variants of the totally asymmetric simple exclusion process
(TASEP) on an one-dimensional interval connected to reservoirs. Most of
the time will be spent discussing an "integrable" variant in which
second-class particles are not allowed to leave. In this case, we can both
prove and understand the nonequilibrium steady state and phase diagram in
great detail. Time permitting, we will consider other variants which
permit exact analysis.