Spiral Motion in a Noisy Complex Ginzburg-Landau Equation

Abstract

The response of spiral waves to external perturbations in a stable regime of the two-dimensional complex Ginzburg-Landau equation (CGLE) is investigated. It is shown that the spiral core has a finite mobility and performs Brownian motion when driven by white noise. Combined with simulation results, this suggests that defect-free and quasi-frozen states in the noiseless CGLE are unstable against free vortex excitation at any non-zero noise strength.

RevTex, 4 pages, 3 figures, submitted to Phys. Rev. Lett

References in corpus (1)

• Phase Diagram of the Two-Dimensional Complex Ginzburg-Landau Equation

Cited by in corpus (16)

• The World of the Complex Ginzburg-Landau Equation
• Electrodynamic duality and vortex unbinding in driven-dissipative condensates
• Nonreciprocal Ising model
• Vortex Glass and Vortex Liquid in Oscillatory Media
• Lattice duality for the compact Kardar-Parisi-Zhang equation
• Breakdown of the standard Perturbation Theory and Moving Boundary Approximation for "Pulled" Fronts
• Dynamical phase transitions in the nonreciprocal Ising model
• Nonequilibrium dislocation dynamics and instability of driven vortex lattices in two dimensions
• From ballistic to Brownian vortex motion in complex oscillatory media
• Topological Defects in Anisotropic Driven Open Systems
• Turbulence control by developing a spiral wave with a periodic signal injection in the complex Ginzburg-Landau equation
• Spatiotemporal scaling of two-dimensional nonequilibrium exciton-polariton systems with weak interactions
• Vortex dynamics in a compact Kardar-Parisi-Zhang system
• Ordering Phenomena on Growing Films
• Nucleation of Spatio-Temporal Structures From Defect Turbulence in the Two-dimensional Complex Ginzburg-Landau Equation
• Phase diagram and universal scaling regimes of two-dimensional exciton-polariton Bose-Einstein condensates