English

Spiral Motion in a Noisy Complex Ginzburg-Landau Equation

patt-sol 2016-09-08 v1 Pattern Formation and Solitons

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.

Keywords

Cite

@article{arxiv.patt-sol/9709005,
  title  = {Spiral Motion in a Noisy Complex Ginzburg-Landau Equation},
  author = {Igor Aranson and Hugues Chate and Lei Han Tang},
  journal= {arXiv preprint arXiv:patt-sol/9709005},
  year   = {2016}
}

Comments

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