Abstract
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.
Aranson, Igor S;
Kramer, Lorenz;
[1]
Physikalisches Institut, University of Bayreuth, D-95440 Bayreuth (Germany)]
- Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
Citation Formats
Aranson, Igor S, Kramer, Lorenz, and Physikalisches Institut, University of Bayreuth, D-95440 Bayreuth (Germany)].
The world of the complex Ginzburg-Landau equation.
United States: N. p.,
2002.
Web.
doi:10.1103/RevModPhys.74.99.
Aranson, Igor S, Kramer, Lorenz, & Physikalisches Institut, University of Bayreuth, D-95440 Bayreuth (Germany)].
The world of the complex Ginzburg-Landau equation.
United States.
https://doi.org/10.1103/RevModPhys.74.99
Aranson, Igor S, Kramer, Lorenz, and Physikalisches Institut, University of Bayreuth, D-95440 Bayreuth (Germany)].
2002.
"The world of the complex Ginzburg-Landau equation."
United States.
https://doi.org/10.1103/RevModPhys.74.99.
@misc{etde_20425423,
title = {The world of the complex Ginzburg-Landau equation}
author = {Aranson, Igor S, Kramer, Lorenz, and Physikalisches Institut, University of Bayreuth, D-95440 Bayreuth (Germany)]}
abstractNote = {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.}
doi = {10.1103/RevModPhys.74.99}
journal = []
issue = {1}
volume = {74}
journal type = {AC}
place = {United States}
year = {2002}
month = {Jan}
}
title = {The world of the complex Ginzburg-Landau equation}
author = {Aranson, Igor S, Kramer, Lorenz, and Physikalisches Institut, University of Bayreuth, D-95440 Bayreuth (Germany)]}
abstractNote = {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.}
doi = {10.1103/RevModPhys.74.99}
journal = []
issue = {1}
volume = {74}
journal type = {AC}
place = {United States}
year = {2002}
month = {Jan}
}