Cluster statistics and quasisoliton dynamics in microscopic optimal-velocity models.

摘要: Using the non-linear optimal velocity models as an example, we show that there exists emergent intrinsic scale characterizes interaction strength between multiple clusters appearing in solutions of such models. The dynamics localized quasisoliton structures given by time derivative headways, and is analogous to "charge" quasisolitons, leading non-trivial cluster statistics from random perturbations initial steady states uniform headways. depend both on charge density traffic. also related quantity gives extremum headways formation, well coexistence curve separating absolute stable phase metastable phase. relationship qualitatively universal for general