Ginzburg-Landau theory of static domain walls in shape-memory alloys

Abstract

A one-dimensional static Ginzburg-Landau theory for the martensitic phase transitions in shape-memory alloys is developed. From the equilibrium conditions the structure of static domain walls of martensite-martensite as well as of martensite-austenite type is calculated. In the finite crystal a discrete spectrum of domain structures results whereas in an unbounded crystal there are four types of domain walls. For each type of walls the energy is calculated.