Backward propagation of congestion in TASEP ladder-network

Abstract

In the network of self-driven particles, aggregation points make velocities of particles smaller and branching points make larger. We consider a ladder-shaped network of totally asymmetric simple exclusion process in order to investigate correlations among multiple junctions by extending our previous results about “critical ellipse” which is the condition where the congestion of particles near the aggregation point propagates to the upstream of the branching point. We have theoretically derived the condition of interactions among the congestion from different aggregation points in the network.