Ginzburg-Landau-Schrodinger equation: Difference between revisions
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The ''' | The '''Ginzburg-Landau-Schrodinger''' equation is | ||
<center><math>i u^\epsilon_t + \Delta u^\epsilon = \frac{1}{\epsilon^2} (|u^\epsilon|^2 - 1)u^\epsilon.</math></center> | <center><math>i u^\epsilon_t + \Delta u^\epsilon = \frac{1}{\epsilon^2} (|u^\epsilon|^2 - 1)u^\epsilon.</math></center> | ||
The main focus of study for this equation is the formation of vortices and their dynamics in the limit <math>\epsilon \to 0</math>. | The main focus of study for this equation is the formation of vortices and their dynamics in the limit <math>\epsilon \to 0</math>. | ||
The [http://en.wikipedia.org/wiki/Ginzburg-Landau_theory Ginzburg-Landau theory] is briefly surveyed on [http://en.wikipedia.org Wikipedia]. | |||
[[Category:Schrodinger]] | [[Category:Schrodinger]] | ||
[[Category:Equations]] | [[Category:Equations]] | ||
Revision as of 06:37, 16 January 2007
The Ginzburg-Landau-Schrodinger equation is
The main focus of study for this equation is the formation of vortices and their dynamics in the limit .
The Ginzburg-Landau theory is briefly surveyed on Wikipedia.
