Totally asymmetric simple exclusion process

Synchronization of kinks in the two-lane totally asymmetric simple exclusion process with open boundary conditions

We study the motion of kinks in a two-lane model of the totally asymmetric simple exclusion process with open boundaries. Once a lane change is allowed, the positions of the kinks become synchronized. We analytically study the motion of the kinks by a decoupled approximation. When we choose the lane change rate asymmetric, the difference between the positions of the kinks become zero, though th...

Two-Channel Totally Asymmetric Simple Exclusion Processes

Totally asymmetric simple exclusion processes, consisting of two coupled parallel lattice chains with particles interacting with hard-core exclusion and moving along the channels and between them, are considered. In the limit of strong coupling between the channels, the particle currents, density profiles and a phase diagram are calculated exactly by mapping the system into an effective one-cha...

Spectral gap of the totally asymmetric exclusion process at arbitrary filling

We calculate the spectral gap of the Markov matrix of the totally asymmetric simple exclusion process (TASEP) on a ring of L sites with N particles. Our derivation is simple and self-contained and extends a previous calculation that was valid only for half-filling. We use a special property of the Bethe equations for TASEP to reformulate them as a one-body problem. Our method is closely related...

Current Fluctuations for the Totally Asymmetric Simple Exclusion Process

The stationary measure of a 2-type totally asymmetric exclusion process

We give a combinatorial description of the stationary measure for a totally asymmetric exclusion process (TASEP) with second class particles, on either Z or on the cycle ZN . The measure is the image by a simple operation of the uniform measure on some larger finite state space. This reveals a combinatorial structure at work behind several results on the TASEP with second class particles.