Derives universal scaling c_n ~ τ_Q^{-α_n} for work cumulant densities in driven critical O(N) models from RG flow of composite operators, with α_n = p(d+nz)ν/(1+pzν) for isolated quantum systems and α_n = pdν/(1+pzν) for open/classical systems.
Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
abstract
In the course of a non-equilibrium continuous phase transition, the dynamics ceases to be adiabatic in the vicinity of the critical point as a result of the critical slowing down (the divergence of the relaxation time in the neighborhood of the critical point). This enforces a local choice of the broken symmetry and can lead to the formation of topological defects. The Kibble-Zurek mechanism (KZM) was developed to describe the associated nonequilibrium dynamics and to estimate the density of defects as a function of the quench rate through the transition. During recent years, several new experiments investigating formation of defects in phase transitions induced by a quench both in classical and quantum mechanical systems were carried out. At the same time, some established results were called into question. We review and analyze the Kibble-Zurek mechanism focusing in particular on this surge of activity, and suggest possible directions for further progress.
citation-role summary
background 1
citation-polarity summary
years
2026 4roles
background 1polarities
background 1representative citing papers
Holographic simulations demonstrate that Z2 and U(1) topological defects universally seed phase separation, with cores expanding into domains under a double-quench protocol.
A self-consistent Parker bound, anchored in the dynamo seed eigenmode and including turbulent pre-acceleration of monopoles, relaxes the standard extended Parker bound by roughly two orders of magnitude at low and intermediate monopole masses.
Fast driving across first-order transitions in relativistic scalar fields produces temperature- and dimension-independent finite-time scaling matching mean-field theory, crossing over to Kibble-Zurek scaling near criticality and nucleation-dominated dynamics at low temperatures.
citing papers explorer
-
A Field-Theoretic Framework for Work Statistics and Universal Scaling in Non-equilibrium Phase Transitions
Derives universal scaling c_n ~ τ_Q^{-α_n} for work cumulant densities in driven critical O(N) models from RG flow of composite operators, with α_n = p(d+nz)ν/(1+pzν) for isolated quantum systems and α_n = pdν/(1+pzν) for open/classical systems.
-
Phase separation seeded by Z2 and U(1) topological defects from holography
Holographic simulations demonstrate that Z2 and U(1) topological defects universally seed phase separation, with cores expanding into domains under a double-quench protocol.
-
Self-Consistent Parker Bound on Magnetic Monopoles
A self-consistent Parker bound, anchored in the dynamo seed eigenmode and including turbulent pre-acceleration of monopoles, relaxes the standard extended Parker bound by roughly two orders of magnitude at low and intermediate monopole masses.
-
Non-equilibrium scaling across first-order transitions with relativistic scalar fields
Fast driving across first-order transitions in relativistic scalar fields produces temperature- and dimension-independent finite-time scaling matching mean-field theory, crossing over to Kibble-Zurek scaling near criticality and nucleation-dominated dynamics at low temperatures.