Aging phenomena in the two-dimensional complex Ginzburg-Landau equation

21 Nov 2019 Liu Weigang Virginia Tech Täuber Uwe C. Virginia Tech

The complex Ginzburg-Landau equation with additive noise is a stochastic partial differential equation that describes a remarkably wide range of physical systems which include coupled non-linear oscillators subject to external noise near a Hopf bifurcation instability and spontaneous structure formation in non-equilibrium systems, e.g., in cyclically competing populations or oscillatory chemical reactions. We employ a finite-difference method to numerically solve the noisy complex Ginzburg-Landau equation on a two-dimensional domain with the goal to investigate its non-equilibrium dynamics when the system is quenched into the "defocusing spiral quadrant"... (read more)

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • STATISTICAL MECHANICS
  • PATTERN FORMATION AND SOLITONS