Clustering in two models of interacting motors

2020/03/16 by Chacko, Jim, Muhuri, Sudipto, Tripathy, Goutam
#FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2003.07313

Abstract

We study a two-species bidirectional exclusion process, and a single species variant, which is motivated by the motion of organelles and vesicles along microtubules. Specifically, we are interested in the clustering of the particles and appearance of a single large cluster as the ratio Q of the translation to switching rates is varied. We find that, although for a finite system, there is a clustering phenomenon in which the probability of finding a single large cluster changes from being negligible to having finite values, the phenomenon shifts to larger Q values as the system size is increased. This suggests that the observed clustering is not a true (nonequilibrium) transition in the thermodynamic sense but rather a finite-size effect.

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