English

Topological defect formation in a phase transition with tunable order

Statistical Mechanics 2025-04-28 v3 General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory Quantum Physics

Abstract

The Kibble-Zurek mechanism (KZM) describes the non-equilibrium dynamics and topological defect formation in systems undergoing second-order phase transitions. KZM has found applications in fields such as cosmology and condensed matter physics. However, it is generally not suitable for describing first-order phase transitions. It has been demonstrated that transitions in systems like superconductors or charged superfluids, typically classified as second-order, can exhibit weakly first-order characteristics when the influence of fluctuations is taken into account. Moreover, the order of the phase transition (i.e., the extent to which it becomes first rather than second order) can be tuned. We explore quench-induced formation of topological defects in such tunable phase transitions and propose that their density can be predicted by combining KZM with nucleation theory.

Keywords

Cite

@article{arxiv.2312.01259,
  title  = {Topological defect formation in a phase transition with tunable order},
  author = {Fumika Suzuki and Wojciech H. Zurek},
  journal= {arXiv preprint arXiv:2312.01259},
  year   = {2025}
}

Comments

Supplementary movie showing time evolution of the order parameter is available at https://fumikaphys.com/tunable.mp4 (Simplified explanation; see paper for details.) 8 pages, 5 figures

R2 v1 2026-06-28T13:39:23.227Z