English

Two-dimensional crystals far from equilibrium

Statistical Mechanics 2023-08-23 v3 Soft Condensed Matter Classical Physics

Abstract

When driven by nonequilibrium fluctuations, particle systems may display phase transitions and physical behaviour with no equilibrium counterpart. We study a two-dimensional particle model initially proposed to describe driven non-Brownian suspensions undergoing nonequilibrium absorbing phase transitions. We show that when the transition occurs at large density, the dynamics produces long-range crystalline order. In the ordered phase, long-range translational order is observed because equipartition of energy is lacking, phonons are suppressed, and density fluctuations are hyperuniform. Our study offers an explicit microscopic model where nonequilibrium violations of the Mermin-Wagner theorem stabilize crystalline order in two dimensions.

Keywords

Cite

@article{arxiv.2302.11514,
  title  = {Two-dimensional crystals far from equilibrium},
  author = {Leonardo Galliano and Michael E. Cates and Ludovic Berthier},
  journal= {arXiv preprint arXiv:2302.11514},
  year   = {2023}
}

Comments

6 pages, 4 figures. V2 accepted for publication at Phys. Rev. Lett

R2 v1 2026-06-28T08:47:09.101Z