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The Ginzburg–Landau partial differential equation has been used to study a wide range of phenomena including superconductivity, superﬂuidity, chemical patterns, nonlinear oscillations, liquid crystals, and relativistic strings.

Contributed by: Enrique Zeleny

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The equation has the form

with parameters

. The initial values include two peaks of the form

, where

is the separation between them.

Reference

[1] H. Brézis and T. Li, Ginzburg–Landau Vortices, Singapore: World Scientific, 2005.

Ginzburg–Landau Equation (Wolfram MathWorld)

Enrique Zeleny

"Ginzburg-Landau Equation"
http://demonstrations.wolfram.com/GinzburgLandauEquation/
Wolfram Demonstrations Project
Published: September 4, 2012

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Ginzburg-Landau Equation

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