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Recurrent noise-induced phase singularities in drifting patterns.

M G Clerc1, S Coulibaly2, F del Campo1

  • 1Departamento de Física, FCFM, Universidad de Chile, Casilla 487-3, Santiago, Chile.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 15, 2015
PubMed
Summary
This summary is machine-generated.

Recurrent spatial phase defects in drifting patterns arise from noise-sustained structures near phase transitions. These conditions create favorable initial gradients, leading to noise-induced phase slips and vortex singularities observed in experiments.

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Area of Science:

  • Nonlinear dynamics
  • Pattern formation
  • Optical physics

Background:

  • Spatial phase defects are crucial in pattern formation and nonlinear systems.
  • Understanding the conditions for their creation and dynamics is essential for controlling complex systems.
  • Previous studies have explored phase defects, but the specific role of noise and phase transitions requires further investigation.

Purpose of the Study:

  • To identify the key factors enabling the formation of recurrent traveling spatial phase defects in drifting patterns.
  • To investigate the interplay between noise, phase transitions, and initial conditions in generating these defects.
  • To validate theoretical predictions with experimental observations in a nonlinear optical system.

Main Methods:

  • Theoretical modeling using the stochastic convective Ginzburg-Landau equation with real coefficients.
  • Experimental investigation of a Kerr medium subjected to shifted optical feedback.
  • Analysis of spatial gradients, phase, and amplitude to understand defect formation.

Main Results:

  • The study identifies a noise-sustained structure regime and proximity to a phase transition as critical for recurrent traveling spatial phase defects.
  • These conditions promote favorable initial states for local spatial gradients, phase, and amplitude.
  • Experimental results on a Kerr medium confirm the generation of noise-induced traveling phase slips and vortex phase-singularities, aligning with theoretical predictions.

Conclusions:

  • The combination of noise and proximity to a phase transition provides the necessary conditions for generating recurrent traveling spatial phase defects.
  • The stochastic convective Ginzburg-Landau equation accurately predicts the observed phenomena in nonlinear optical experiments.
  • This work elucidates the fundamental mechanisms driving the formation of complex spatial structures in driven dissipative systems.