Totally Asymmetric Coalescence Process

摘要

Analysis of coalescence processes is extensively documented in the literature, but not all of the theoretical frame-works encompass the concept of coalescence itself. We introduce and study Totally Asymmetric Coalescence Process (TACP), a new class of interacting particles in which the environment is functional in the interaction. In particular, the TACP is proved to display a first-order phase transition. Numerical analysis for the TACP is presented as well.