Universal criterion and amplitude equation for a nonequilibrium Ising-Bloch transition

2001/05/15 by D. Michaelis, Dirk Michaelis, Ulf Peschel +5 · 3 citations
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Spectroscopy and Quantum Chemical Studies #stochastic dynamics and bifurcation

paper · doi:10.1103/physreve.63.066602

openalex publication_date 2001/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We identify a universal criterion for the onset of a nonequilibrium Ising-Bloch (NIB) transition, and describe the behavior near the bifurcation by a generic amplitude equation. We found that a NIB transition is caused by an antisymmetric eigenvector passing the translational mode of the system at a critical point. In this context we discuss Hamiltonian and dissipative systems. We report on a NIB in nonlinear optics, manifesting itself in a transition from static to moving polarization fronts.

Citations

• Pattern formation outside of equilibrium

Cited by

• Higher-codimension points as organizing centers in nonreciprocal pattern-forming systems with O(2) symmetry
• Topological Quenching of Noise in a Free-Running Moebius Microcomb
• Phase-locked spatial domains and Bloch domain walls in type-II optical parametric oscillators

Related

• Nonequilibrium Phase Transitions
• The optical Bloch equation for the finite-temperature fluctuations
• Universal and Nonuniversal Signatures in the Scaling Functions of Critical Variables
• Framework of dynamical transitions from long-range to short-range quantum systems
• Emergent Universality in Nonequilibrium Processes of Critical Systems