Convection-induced nonlinear symmetry breaking in wave mixing

Roberta Zambrini, Maxi San Miguel, Céline Durniak, Majid Taki

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

We show that the combined action of diffraction and convection (walk-off) in wave mixing processes leads to a nonlinear symmetry breaking in the generated traveling waves. The dynamics near to threshold is reduced to a Ginzburg-Landau model, showing an original dependence of the nonlinear self-coupling term on the convection. Analytical expressions of the intensity and velocity of traveling waves emphasize the utmost importance of convection in this phenomenon. These predictions are in excellent agreement with the numerical solutions of the full dynamical model.
LanguageEnglish
Number of pages5
JournalPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume72
Issue number2
DOIs
Publication statusPublished - 19 Aug 2005

Fingerprint

Symmetry Breaking
Convection
broken symmetry
convection
traveling waves
Traveling Wave
Ginzburg-Landau Model
Mixing Processes
Dynamical Model
Walk
Diffraction
Numerical Solution
thresholds
Prediction
Term
predictions
diffraction

Keywords

  • velocity
  • waves
  • dynamics
  • Ginzburg-Landau
  • diffraction
  • convection
  • wave mixing
  • nonlinear symmetry

Cite this

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abstract = "We show that the combined action of diffraction and convection (walk-off) in wave mixing processes leads to a nonlinear symmetry breaking in the generated traveling waves. The dynamics near to threshold is reduced to a Ginzburg-Landau model, showing an original dependence of the nonlinear self-coupling term on the convection. Analytical expressions of the intensity and velocity of traveling waves emphasize the utmost importance of convection in this phenomenon. These predictions are in excellent agreement with the numerical solutions of the full dynamical model.",
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Convection-induced nonlinear symmetry breaking in wave mixing. / Zambrini, Roberta; San Miguel, Maxi; Durniak, Céline; Taki, Majid.

In: Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics , Vol. 72, No. 2, 19.08.2005.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Convection-induced nonlinear symmetry breaking in wave mixing

AU - Zambrini, Roberta

AU - San Miguel, Maxi

AU - Durniak, Céline

AU - Taki, Majid

PY - 2005/8/19

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N2 - We show that the combined action of diffraction and convection (walk-off) in wave mixing processes leads to a nonlinear symmetry breaking in the generated traveling waves. The dynamics near to threshold is reduced to a Ginzburg-Landau model, showing an original dependence of the nonlinear self-coupling term on the convection. Analytical expressions of the intensity and velocity of traveling waves emphasize the utmost importance of convection in this phenomenon. These predictions are in excellent agreement with the numerical solutions of the full dynamical model.

AB - We show that the combined action of diffraction and convection (walk-off) in wave mixing processes leads to a nonlinear symmetry breaking in the generated traveling waves. The dynamics near to threshold is reduced to a Ginzburg-Landau model, showing an original dependence of the nonlinear self-coupling term on the convection. Analytical expressions of the intensity and velocity of traveling waves emphasize the utmost importance of convection in this phenomenon. These predictions are in excellent agreement with the numerical solutions of the full dynamical model.

KW - velocity

KW - waves

KW - dynamics

KW - Ginzburg-Landau

KW - diffraction

KW - convection

KW - wave mixing

KW - nonlinear symmetry

U2 - 10.1103/PhysRevE.72.025603

DO - 10.1103/PhysRevE.72.025603

M3 - Article

VL - 72

JO - Physical Review E

T2 - Physical Review E

JF - Physical Review E

SN - 1539-3755

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