Totally Asymmetric Coalescence Process

L.T. Costa, A.D. Ramos

2023, v.29, Issue 1, 67-97

ABSTRACT

Mathematical modeling used in describing coalescence processes is extensively documented in the literature, but not all of these theoretical frameworks encompass the concept of coalescence itself. This research presents the Totally Asymmetric Coalescence Process (TACP), a new class of interacting particles in which the environment functions in the interaction process. Theoretical results and numerical analysis are presented for the TACP.
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.

Keywords: Coalescence process; Variable-length; phase transition

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