Bloch-front turbulence: Theory and experiments

Aric Hagberg; Bradley Marts; Anna L. Lin; Ehud Meron

doi:10.1016/j.physa.2005.05.018

Bloch-front turbulence: Theory and experiments

Aric Hagberg, Bradley Marts, Anna L. Lin, Ehud Meron

Department of Physics

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

We report on experimental and theoretical findings of front destabilization that causes spontaneous spiral-vortex nucleation and produces a state of spatio-temporal disorder. The experiments were carried out on an oscillatory photosensitive Belousov-Zhabotinsky reaction that is periodically forced in time. Numerical studies were carried out on a modified Complex Ginzburg-Landau equation and on the FitzHugh-Nagumo model. Using velocity-curvature relations for fronts we associate the onset of spatio-temporal disorder with the Nonequilibrium Ising Bloch (NIB) bifurcation, and study the generic patterns that form on both sides of the bifurcation as the distance from it is increased.

Original language	English
Pages (from-to)	88-94
Number of pages	7
Journal	Physica A: Statistical Mechanics and its Applications
Volume	356
Issue number	1
DOIs	https://doi.org/10.1016/j.physa.2005.05.018
State	Published - 1 Oct 2005
Event	Nonequilibrium Statistical Mechanics and Nonlinear Physics (MEDYFINOL'04) - Duration: 2 Dec 2004 → 4 Dec 2004

Keywords

Belousov-Zhabotinsky reaction
Ginzburg-Landau
Pattern formation

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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10.1016/j.physa.2005.05.018

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title = "Bloch-front turbulence: Theory and experiments",

abstract = "We report on experimental and theoretical findings of front destabilization that causes spontaneous spiral-vortex nucleation and produces a state of spatio-temporal disorder. The experiments were carried out on an oscillatory photosensitive Belousov-Zhabotinsky reaction that is periodically forced in time. Numerical studies were carried out on a modified Complex Ginzburg-Landau equation and on the FitzHugh-Nagumo model. Using velocity-curvature relations for fronts we associate the onset of spatio-temporal disorder with the Nonequilibrium Ising Bloch (NIB) bifurcation, and study the generic patterns that form on both sides of the bifurcation as the distance from it is increased.",

keywords = "Belousov-Zhabotinsky reaction, Ginzburg-Landau, Pattern formation",

author = "Aric Hagberg and Bradley Marts and Lin, {Anna L.} and Ehud Meron",

note = "Funding Information: This work was supported by the Department of Energy under contracts W-7405-ENG-36, and the DOE Office of Science Advanced Computing Research program in Applied Mathematical Sciences.; Nonequilibrium Statistical Mechanics and Nonlinear Physics (MEDYFINOL'04) ; Conference date: 02-12-2004 Through 04-12-2004",

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T1 - Bloch-front turbulence

T2 - Nonequilibrium Statistical Mechanics and Nonlinear Physics (MEDYFINOL'04)

AU - Hagberg, Aric

AU - Marts, Bradley

AU - Lin, Anna L.

AU - Meron, Ehud

N1 - Funding Information: This work was supported by the Department of Energy under contracts W-7405-ENG-36, and the DOE Office of Science Advanced Computing Research program in Applied Mathematical Sciences.

PY - 2005/10/1

Y1 - 2005/10/1

N2 - We report on experimental and theoretical findings of front destabilization that causes spontaneous spiral-vortex nucleation and produces a state of spatio-temporal disorder. The experiments were carried out on an oscillatory photosensitive Belousov-Zhabotinsky reaction that is periodically forced in time. Numerical studies were carried out on a modified Complex Ginzburg-Landau equation and on the FitzHugh-Nagumo model. Using velocity-curvature relations for fronts we associate the onset of spatio-temporal disorder with the Nonequilibrium Ising Bloch (NIB) bifurcation, and study the generic patterns that form on both sides of the bifurcation as the distance from it is increased.

AB - We report on experimental and theoretical findings of front destabilization that causes spontaneous spiral-vortex nucleation and produces a state of spatio-temporal disorder. The experiments were carried out on an oscillatory photosensitive Belousov-Zhabotinsky reaction that is periodically forced in time. Numerical studies were carried out on a modified Complex Ginzburg-Landau equation and on the FitzHugh-Nagumo model. Using velocity-curvature relations for fronts we associate the onset of spatio-temporal disorder with the Nonequilibrium Ising Bloch (NIB) bifurcation, and study the generic patterns that form on both sides of the bifurcation as the distance from it is increased.

KW - Belousov-Zhabotinsky reaction

KW - Ginzburg-Landau

KW - Pattern formation

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U2 - 10.1016/j.physa.2005.05.018

DO - 10.1016/j.physa.2005.05.018

M3 - Conference article

AN - SCOPUS:23844552879

SN - 0378-4371

VL - 356

SP - 88

EP - 94

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1

Y2 - 2 December 2004 through 4 December 2004

ER -

Bloch-front turbulence: Theory and experiments

Abstract

Keywords

ASJC Scopus subject areas

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