Out-of-equilibrium spinodal-like scaling behaviors across the magnetic first-order transitions of 2D and 3D Ising systems

2025/07/28 by Andrea Pelissetto, Pelissetto, Andrea, Ettore Vicari +1 · 2 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Physics of Superconductivity and Magnetism #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2507.21286

openalex publication_date 2025/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the out-of-equilibrium scaling behavior of two-dimensional and three-dimensional Ising systems, when they are slowly driven across their \em magnetic first-order transitions at low temperature T0 of the magnetic field, which decrease as h_* ∼ 1/(ln t_s)^κ, with κ= 2 and κ=1 in two and three dimensions, respectively, for t_s→∞. We identify σ≡ t (ln t)^κ/t_s as the relevant scaling variable associated with the KZ dynamics in the TL.

Citations

• Kibble-Zurek dynamics across the first-order quantum transitions of quantum Ising chains in the thermodynamic limit
• Out-of-equilibrium dynamics across the first-order quantum transitions of one-dimensional quantum Ising models
• String-Breaking Dynamics in Quantum Adiabatic and Diabatic Processes
• Scaling behaviors at quantum and classical first-order transitions
• Coherent and dissipative dynamics at quantum phase transitions
• Formation of Bose-Einstein condensates
• Slow Relaxations and Non-Equilibrium Dynamics in Classical and Quantum Systems
• Static and dynamical aspects of the metastable states of first order transition systems
• The Cosmological Kibble Mechanism in the Laboratory: String Formation in Liquid Crystals
• Topology of cosmic domains and strings
• Monte Carlo sampling methods using Markov chains and their applications

Cited by

• Out-of-equilibrium spinodal-like scaling behaviors at the thermal first-order transitions of three-dimensional q-state Potts models
• Topological Defect Formation Beyond the Kibble-Zurek Mechanism in Crossover Transitions with Approximate Symmetries

Related

• Complete universal scaling of first-order phase transitions in the two-dimensional Ising model
• Kibble-Zurek dynamics across the first-order quantum transitions of quantum Ising chains in the thermodynamic limit
• Ising Model Scaling Behaviour on z-Preserving Small-World Networks
• Anomalous dynamic scaling of Ising interfaces
• The scaling limit for zero temperature planar Ising droplets: with and without magnetic fields