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Related Experiment Videos

Ising-Bloch transition for spatially extended patterns.

Kestutis Staliunas1, Víctor J Sánchez-Morcillo

  • 1ICREA, Departament de Fisica i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Colom, 11, E-08222 Terrassa, Barcelona, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
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We demonstrate the Ising-Bloch transition for extended patterns like labyrinths and stripes in nonlinear systems. This phenomenon, previously known for domain walls, is analyzed using the Ginzburg-Landau equation.

Area of Science:

  • Nonlinear Dynamics
  • Pattern Formation
  • Statistical Physics

Background:

  • The Ising-Bloch transition is a known phenomenon for domain walls in nonlinear systems.
  • Extended patterns, such as labyrinths and stripes, are prevalent in various spatially extended nonlinear systems.

Purpose of the Study:

  • To investigate the occurrence of the Ising-Bloch transition for extended patterns beyond domain walls.
  • To analyze this transition in the context of the parametrically driven Ginzburg-Landau equation.

Main Methods:

  • Analysis within the framework of the parametrically driven Ginzburg-Landau equation.
  • Mathematical modeling of pattern dynamics in nonlinear systems.

Main Results:

  • The study shows that the Ising-Bloch transition is applicable to extended patterns like labyrinths and stripes.

Related Experiment Videos

  • The Ginzburg-Landau equation serves as a suitable model for observing this transition in diverse nonlinear systems.

    • Conclusions:

    • The Ising-Bloch transition is not limited to domain walls but extends to complex extended patterns.
    • The findings broaden the understanding of phase transitions in nonlinear extended systems, with implications for various scientific fields.