English

Fluctuation-dominated Phase Ordering

Statistical Mechanics 2023-07-21 v1 Soft Condensed Matter

Abstract

Fluctuation-dominated phase ordering refers to a steady state in which the magnitude of long-range order varies strongly owing to fluctuations, and to the associated coarsening phenomena during the approach to steady state. Strong fluctuations can lead to a number of interesting phenomena, including a cusp singularity in the scaled correlation function, implying the breakdown of the Porod Law. First identified in a nonequilibrium system of passively sliding particles on a fluctuating surface, fluctuation-dominated order also occurs in several other systems, including an equilibrium Ising model with long-range interactions. This article discusses these systems, and others where clustering effects are stronger.

Keywords

Cite

@article{arxiv.2307.10770,
  title  = {Fluctuation-dominated Phase Ordering},
  author = {Mustansir Barma},
  journal= {arXiv preprint arXiv:2307.10770},
  year   = {2023}
}

Comments

This contribution will be published in '50 years of the renormalization group', dedicated to the memory of Michael E. Fisher, edited by Amnon Aharony, Ora Entin-Wohlman, David Huse, and Leo Radzihovsky, World Scientific