The world of the complex Ginzburg-Landau equation - INSPIRE

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The world of the complex Ginzburg-Landau equation

I.S. Aranson
(
- Argonne
)
,
L. Kramer
(
- Bayreuth U.
)

Jun 6, 2001

45 pages

Published in:

Rev.Mod.Phys. 74 (2002) 99-143

e-Print:

cond-mat/0106115 [cond-mat.stat-mech]

DOI:

10.1103/RevModPhys.74.99

View in:

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Abstract: (APS)

The cubic complex Ginzburg-Landau equation is one of the most-studied nonlinear equations in the physics community. It describes a vast variety of phenomena from nonlinear waves to second-order phase transitions, from superconductivity, superfluidity, and Bose-Einstein condensation to liquid crystals and strings in field theory. The authors give an overview of various phenomena described by the complex Ginzburg-Landau equation in one, two, and three dimensions from the point of view of condensed-matter physicists. Their aim is to study the relevant solutions in order to gain insight into nonequilibrium phenomena in spatially extended systems.

Note:

Submitted to Reviews of Modern Physics, reduced resolution figures

review
Landau-Ginzburg model
critical phenomena
coherent state
scattering: plane wave
defect: topological
stability
dimension: 2
dimension: 3
vortex

References(303)

Figures(0)

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PS205

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