The Ginzburg-Landau Functional

  • Yuli M. Ivanchenko
  • Alexander A. Lisyansky
Part of the Graduate Texts in Contemporary Physics book series (GTCP)


In this chapter we consider derivation of the Ginzburg-Landau functional (GLF) from different microscopic Hamiltonians. The words “microscopic Hamiltonian” mean that we start from some plausible representation of interactions which could take place in a particular physical system. These words do not necessarily mean that a Hamiltonian is obtained from the first principles, but rather that it somehow formulated on a microscopic scale as a model reflecting physical reality. There is no general recipe for the derivation of the GLF. Each kind of Hamiltonian requires, as a rule, a somewhat different approach. Nonetheless, there is quite general way of obtaining the GLF.


Partition Function Ising Model Classical System Coexistence Curve Matsubara Frequency 
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Copyright information

© Springer-Verlag New York, Inc. 1995

Authors and Affiliations

  • Yuli M. Ivanchenko
    • 1
  • Alexander A. Lisyansky
    • 2
  1. 1.Department of PhysicsPolytechnic UniversityBrooklynUSA
  2. 2.Department of PhysicsQueens College of CUNYFlushingUSA

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