Emerging universality classes in thermally-assisted activation of interacting diffusive systems: A perturbative hydrodynamic approach
Statistical Mechanics
2024-11-19 v1 Soft Condensed Matter
Abstract
Thermal activation of a particle from a deep potential trap follows the Arrhenius law. Recently, this result was generalized for interacting diffusive particles in the trap, revealing two universality classes -- the Arrhenius class and the excluded volume class. The result was demonstrated with the aid of numerical analysis. Here, we present a perturbative hydrodynamic approach to analytically validate the existence and range of validity for the two universality classes.
Keywords
Cite
@article{arxiv.2312.05839,
title = {Emerging universality classes in thermally-assisted activation of interacting diffusive systems: A perturbative hydrodynamic approach},
author = {Vishwajeet Kumar and Arnab Pal and Ohad Shpielberg},
journal= {arXiv preprint arXiv:2312.05839},
year = {2024}
}