Spiral Motion in a Noisy Complex Ginzburg-Landau Equation

Journal Article · Sun Mar 01 04:00:00 EST 1998 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.80.2646· OSTI ID:597239

Aranson, I S ^[1]; Chate, H ^[2]; Tang, L ^[3]

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1. Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
2. CEA---Service de Physique de l`Etat Condense, Centre d`Etudes de Saclay, 91191 Gif-sur-Yvette (France)
3. Department of Physics and Center for Nonlinear and Complex Systems, Hong Kong Baptist University (Hong Kong)

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 quasifrozen states in the noiseless CGLE are susceptible to unpaired vortex excitation at any nonzero noise strength. {copyright} {ital 1998} {ital The American Physical Society}

• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 597239
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 12 Vol. 80; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BROWNIAN MOVEMENT
DIFFUSION
GINZBURG-LANDAU THEORY
NOISE
OSCILLATIONS
SIMULATION
SPIRAL CONFIGURATION
VORTICES
WAVE PROPAGATION