The Ginzburg-Landau Functional
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.
KeywordsPartition Function Ising Model Classical System Coexistence Curve Matsubara Frequency
Unable to display preview. Download preview PDF.