Theory of Driven Nonequilibrium Critical Phenomena

Abstract

A system driven in the vicinity of its critical point by varying a relevant field in an arbitrary function of time is a generic system that possesses a long relaxation time compared with the driving time scale and thus represents a large class of nonequilibrium systems. For such a manifestly nonlinear nonequilibrium strongly fluctuating system, we show that there exists universal nonequilibrium critical behavior that is well described incredibly by its equilibrium critical properties. A dynamic renormalization-group theory is developed to account for the behavior. The weak driving may give rise to several time scales depending on its form and thus rich nonequilibrium phenomena of various regimes and their crossovers, negative susceptibilities, as well as violation of fluctuation-dissipation theorem. An initial condition that can be in either equilibrium or nonequilibrium but has longer correlations than the driving scales also results in a unique regime and complicates the situation. Implication of the results on measurement is also discussed. The theory may shed light on study of other nonequilibrium systems and even nonlinear science.

15 pages, 11 figures

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Cited by in corpus (21)

• Universality in driven open quantum matter
• Activating critical exponent spectra with a slow drive
• Renormalization-group theory for cooling first-order phase transitions in Potts models
• Dynamical off-equilibrium scaling across magnetic first-order phase transitions
• Absence of Criticality in the Phase Transitions of Open Floquet Systems
• Scaling Theories of Kosterlitz-Thouless Phase Transitions
• Driving Driven Lattice Gases to Identify Their Universality Classes
• Kibble-Zurek scaling in one-dimensional localization transitions
• Self-similarity breaking: Anomalous nonequilibrium finite-size scaling and finite-time scaling
• Finite-time scaling beyond the Kibble-Zurek prerequisite in Dirac systems
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• Nonequilibrium Critical Dynamics with Emergent Supersymmetry
• Theory of Critical Phenomena with Long-Range Temporal Interaction
• Driven Critical Dynamics in Tricitical Point
• Theory of Critical Phenomena with Memory
• Surface spin polarization in the magnetic response of GeTe Rashba ferroelectric
• Is there Kibble-Zurek scaling of topological defects in first-order phase transitions?
• Spin-valve effect for spin-polarized surface states in topological semimetals
• Scaling corrections in driven critical dynamics: Application to a two-dimensional dimerized quantum Heisenberg model
• Complete universal scaling of first-order phase transitions in the two-dimensional Ising model
• Finite-time scaling with two characteristic time scales: Driven critical dynamics with emergent symmetry