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The complex Ginzburg-Landau equation is given as follows: $$ \partial_{t} A=A+(1+i b) \Delta A-(1+i c)|A|^{2} A. $$

For some reasons, I need to quickly understand what the parameters in the equation mean and to have a general idea what the equation does. And I hope to find some newcomer-friendly introductions to this topic, which should be oriented to complex systems. Are there any suggestions?

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  • $\begingroup$ Original Ginzburg-Landau model describing superconductors is not time dependent, and it is not looks like it shown in your post. The time dependent model has been propose by G.M. Eliashberg and L.P. Gor’kov in the paper "Generalization of Ginzburg-Landau equations for non-stationary problems in the case of alloys with paramagnetic impurities". J. Exptl. Theoret. Phys. (U.S.S.R.), 27, 1968. $\endgroup$
    – Alex Trounev
    Commented Jun 27, 2021 at 21:50
  • $\begingroup$ For your request see this paper courses.physics.ucsd.edu/2009/Spring/physics221a/REFERENCES/… $\endgroup$
    – Alex Trounev
    Commented Jun 27, 2021 at 22:02
  • $\begingroup$ Could you please tell me the preliminaries to read this paper without obstacles? $\endgroup$
    – FFjet
    Commented Jun 28, 2021 at 15:08
  • $\begingroup$ What kind of obstacles you experienced to read? $\endgroup$
    – Alex Trounev
    Commented Jun 28, 2021 at 16:17
  • $\begingroup$ For example, I don't know what is "second-order phase transitions"... $\endgroup$
    – FFjet
    Commented Jun 29, 2021 at 4:34

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