Cluster statistics and quasisoliton dynamics in microscopic optimal-velocity models

Published in Physical Review E, 2016

Recommended citation: Bo Yang, Xihua Xu, John Z. F. Pang, Christopher Monterola (2016). "Cluster statistics and quasisoliton dynamics in microscopic optimal-velocity models." Physical Review E. http://j-pang.github.io/files/prE2016_cluster.pdf

In this paper, we show that there exists an emergent intrinsic scale that characterizes the interaction strength between multiple clusters appearing in the solutions of optimal-velocity models. The interaction characterizes the dynamics of the localized quasisoliton structures given by the time derivative of the headways, and the intrinsic scale is analogous to the “charge” of the quasisolitons, leading to non-trivial cluster statistics from the random perturbations to the initial steady states of uniform headways. The cluster statistics depend both on the quasisoliton charge and the density of the traffic.