Universal non-equilibrium scaling of cumulants across a critical point

2024/11/15 by Leon J. Sieke, Sieke, Leon J., Mattis Harhoff +5 · 1 citation
Chemical Engineering · Engineering · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Phase Equilibria and Thermodynamics #Thermodynamic properties of mixtures

paper · pdf · doi:10.48550/arxiv.2411.10266

openalex publication_date 2024/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We study the critical dynamics of a scalar field theory with Z₂ symmetry in the dynamic universality class of Model A in two and three spatial dimensions with classical-statistical lattice simulations. In particular, we measure the non-equilibrium behavior of the system under a quench protocol in which the symmetry-breaking external field is changed at a constant rate through the critical point. Using the well-established Kibble-Zurek scaling theory we compute non-equilibrium scaling functions of cumulants of the order parameter up to fourth order. Together with the static critical exponents and the dynamic critical exponent, these fully describe the universal non-equilibrium evolution of the system near the critical point. We further extend the analysis to include finite-size effects and observe good collapse of our data onto two-dimensional universal non-equilibrium and finite-size scaling functions.

Cited by

• Universal critical dynamics near the chiral phase transition and the QCD critical point

Related

• Universal scaling of non-equilibrium critical fluctuations from Langevin dynamics of model A
• Universal finite-size scaling in high-dimensional critical phenomena
• Critical dynamics of three-dimensional Z_N gauge models and the inverted XY universality class
• Dynamic scaling of order parameter fluctuations in model B
• Scaling limits and universality of Ising and dimer models