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Universal criterion and amplitude equation for a nonequilibrium Ising-Bloch transition
D Michaelis1, U Peschel, F Lederer
1Insititut für Festkörpertheorie und Theoretische Optik, Friedrich-Schiller Universität, Jena, D-07743, Germany.
Summary
We discovered a universal condition for the nonequilibrium Ising-Bloch (NIB) transition, driven by an antisymmetric eigenvector interacting with the system's translational mode. This finding explains the shift from static to moving polarization fronts in nonlinear optics.
Area of Science:
- Physics
- Nonlinear Dynamics
- Quantum Optics
Background:
- The study of phase transitions is crucial for understanding system dynamics.
- Nonequilibrium systems exhibit complex behaviors not seen in equilibrium.
Purpose of the Study:
- To identify a universal criterion for the onset of a nonequilibrium Ising-Bloch (NIB) transition.
- To describe the system's behavior near the bifurcation point using a generic amplitude equation.
Main Methods:
- Analysis of system dynamics near a critical point.
- Development of a generic amplitude equation to model the transition.
- Investigation of both Hamiltonian and dissipative systems.
Main Results:
- A universal criterion for NIB transition onset was identified.
- The transition is caused by an antisymmetric eigenvector passing the translational mode.
- The behavior near bifurcation is accurately described by the amplitude equation.
Conclusions:
- The identified criterion provides a fundamental understanding of NIB transitions.
- The findings are applicable to both Hamiltonian and dissipative systems.
- A transition from static to moving polarization fronts in nonlinear optics demonstrates the NIB phenomenon.