Universal features of the off-equilibrium fragmentation with the Gaussian dissipation

TL;DR

This paper explores universal patterns in off-equilibrium fragmentation processes with Gaussian dissipation, analyzing how fragment size distribution and multiplicity scaling relate and depend on process parameters.

Contribution

It introduces a model for off-equilibrium fragmentation with Gaussian dissipation and establishes how scaling exponents depend on process parameters.

Findings

Fragment multiplicity scaling law relates to fragment size distribution.

Scaling exponents depend on fragmentation and inactivation rate parameters.

Universal features are identified in off-equilibrium fragmentation with Gaussian dissipation.

Abstract

We investigate universal features of the off-equilibrium sequential and conservative fragmentation processes with the dissipative effects which are simulated by the Gaussian random inactivation process. The relation between the fragment multiplicity scaling law and the fragment size distribution is studied and a dependence of scaling exponents on the parameters of fragmentation and inactivation rate functions is established.