Dynamic Blockage in an Exclusion Process
Journal of Physics A--Mathematical and Theoretical
Physics & Astronomy
We study an asymmetric exclusion model with one dynamic roadblock particle. The roadblock particle is allowed to move diffusively as well as by longrange jumps mimicking an unbinding/rebinding process. Using Monte Carlo simulations and analytical arguments, the two types of roadblock moves are considered both separately and in combination. Several interesting dynamic phenomena are observed. The long-range jumps of the roadblock lead to a current that depends on the number of particles in the system rather than on the particle density, and thus scales linearly with the system size (up to a critical size). This behavior can be explained by a collective motion of all particles following the roadblock. The diffusive roadblock movements on the other hand lead to a ratcheting motion with the active (driven) particles pushing the roadblock forward.
Sahoo, Mamata; Dong, Jiajia; and Klumpp, Stefan. "Dynamic Blockage in an Exclusion Process." Journal of Physics A--Mathematical and Theoretical 48, no. 1 (2015) : 015007.