LANDAU THEORY AND MARTENSITIC PHASE TRANSITIONS
Теория Ландау и мартенситные фазовые переходы
1982-12-01
SCID: 54.1/yk4kr7ka
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Ginzburg-Landau theoryLandau theorymartensitic phase transitionsorder parametersoft modes
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Abstract (AI)
Landau theory proved itself appropriate for describing phase transitions in systems such as ferroelectrics and ferromagnets. Primarily Landau established the theory for second order phase transitions. Later on Devonshire generalized Landau's approach to first order transitions. The essential point of Landau theory is a power series expansion of the free energy, depending on temperature and on an order parameter describing the phase transition. In order to deal with phase boundaries the theory has been generalized to Ginzburg-Landau theory by adding a term depending on the gradient of the order parameter. Inspite of the success of Landau and Ginzburg-Landau theory in the systems mentioned above only little work has been done concerning martensitic phase transitions. Difficulties arise from the fact that the deformation of the unit cell does not coincide with the macroscopic strain. Considerations for overcoming this problem are discussed. It seems that even in the case of martensitic phase transitions Landau theory may be used as a starting point to obtain deeper insight into phenomena such as soft modes, nucleation, and the role of lattice defects.
Key Findings
1
Applying Landau theory to martensitic transitions is difficult because unit-cell deformation differs from macroscopic strain.
2
Devonshire’s generalization extends the Landau approach from second-order to first-order phase transitions.
3
Ginzburg–Landau theory incorporates phase boundaries by adding a gradient-dependent term to the free energy.
4
Landau theory describes phase transitions through a free-energy power series in temperature and an order parameter.
5
The abstract argues that adapted Landau theory could clarify martensitic soft modes, nucleation, and the influence of lattice defects.
Research Object
martensitic phase transitions
Research Subject
Landau and Ginzburg–Landau free-energy modeling of martensitic phase transitions, including phase boundaries, soft modes, nucleation, and lattice-defect effects
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1982-12-01
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