Multiscaling in Infinite Dimensional Collision Processes
E. Ben-Naim, P. L. Krapivsky
TL;DR
This paper investigates the relaxation dynamics of two-body collisions in infinite-dimensional systems, revealing multiscaling behavior with multiple exponents and linking these dynamics to steady state properties.
Contribution
It introduces the concept of multiscaling in infinite-dimensional collision processes and connects relaxation behavior to steady state characteristics.
Findings
Identification of multiscaling asymptotics in infinite-dimensional collisions
Discovery of an infinite set of nontrivial exponents
Link between relaxation properties and steady state features
Abstract
We study relaxation properties of two-body collisions in infinite spatial dimension. We show that this process exhibits multiscaling asymptotic behavior as the underlying distribution is characterized by an infinite set of nontrivial exponents. These nonequilibrium relaxation characteristics are found to be closely related to the steady state properties of the system.
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