Phase transition in compressible Ising systems at fixed volume

Ōnuki, Akira; Minami, Akihiko

doi:10.1103/physrevb.76.174427

Cited by 4 publications

(7 citation statements)

References 23 publications

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“…The first equation (3.36) is equivalent to the equilibrium condition (2.14) outside the interface regions if use is made of Eq.(3.35). In our previous work on the compressible Ising model [27], similar mminimization of F yielded two-phase coexistence in a temperature window (leading to Eqs. (3.49)-(3.52) in the next subsection).…”

Section: B Lozenge Intermediate Statesmentioning

confidence: 99%

“…The above form coincides with the free energy of the compressible Ising model at fixed volume (with no ordering field conjugate to ψ) [27], on the basis of which we discuss the two cases below. If u =ū − β L in Eq.…”

Section: One-dimensionally Ordered Statesmentioning

confidence: 99%

“…The phase transitions in solids can crucially depend on the boundary condition [2,27]. In this paper, we limit ourselves to the simplest case of fixed volume (area in 2D) and shape.…”

Section: Phase Transitions At Fixed Volume and Shapementioning

confidence: 99%

“…(2.19) and (2.25), respectively. In our previous paper [27], the model with α > 0 and g = 0 has been studied at fixed volume. There, in a temperature window, the free energy is lower in two-phase states than in one-phase states, where the domains attain macroscopic sizes, however.…”

Section: Phase Transitions At Fixed Volume and Shapementioning

confidence: 99%

“…(2.17) is expressed as 27) where δψ = ψ − ψ . Thus F e consists of contributions of the first, second, third, and fourth orders with respect to ψ, where the coefficients depend on the space averages ψ and ψ 2 .…”

Section: B Elimination Of the Elastic Fieldmentioning

confidence: 99%

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Intermediate States at Structural Phase Transition: Model with a One-Component Order Parameter Coupled to Strains

Minami

Ōnuki

2008

J. Phys. Soc. Jpn.

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We study a Ginzburg-Landau model of structural phase transition in two dimensions, in which a single order parameter is coupled to the tetragonal and dilational strains. Such elastic coupling terms in the free energy much affect the phase transition behavior particularly near the tricriticality. A characteristic feature is appearance of intermediate states, where the ordered and disordered regions coexist on mesoscopic scales in nearly steady states in a temperature window. The window width increases with increasing the strength of the dilational coupling. It arises from freezing of phase ordering in inhomogeneous strains. No impurity mechanism is involved. We present a simple theory of the intermediate states to produce phase diagrams consistent with simulation results.

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Section: B Lozenge Intermediate Statesmentioning

confidence: 99%

Section: One-dimensionally Ordered Statesmentioning

confidence: 99%

“…The phase transitions in solids can crucially depend on the boundary condition [2,27]. In this paper, we limit ourselves to the simplest case of fixed volume (area in 2D) and shape.…”

Section: Phase Transitions At Fixed Volume and Shapementioning

confidence: 99%

Section: Phase Transitions At Fixed Volume and Shapementioning

confidence: 99%

Section: B Elimination Of the Elastic Fieldmentioning

confidence: 99%

See 3 more Smart Citations

Intermediate States at Structural Phase Transition: Model with a One-Component Order Parameter Coupled to Strains

Minami

Ōnuki

2008

J. Phys. Soc. Jpn.

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Electrode dependence of polydomain stability in ferroelectric thin films

Misirlioglu

Pintilie

2022

Scripta Materialia

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Effects of interphase boundaries in Ginzburg–Landau one-dimensional model of two-phase states in clamped systems

Levanyuk

Minyukov

Misirlioglu

et al. 2021

Journal of Applied Physics

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Previous Landau-type models of two-phase state formation in clamped systems whose material exhibits first-order phase transitions in free state neglects the existence of interphase boundaries. Here, we take them into account in the framework of a Ginzburg–Landau one-dimensional model to study the dependence of characteristics of the two-phase state on system size. Unlike earlier works, we find that the transition to the two-phase state from both the symmetrical and nonsymmetrical phases is not continuous but abrupt. For a one-dimensional system with length L studied in this work, we show that the formation of two-phase state begins with a region whose size is proportional to L. The latent heat of the transition is also proportional to L so that the specific latent heat goes to zero as L→∞, recovering the earlier result for infinite systems. The temperature width of the two-phase region decreases with decreasing of L, but we are unable to answer the question about the critical length for two-phase state formation because the approximation used in analytical calculations is valid for sufficiently large L. A region of small values of L was studied partially to reveal the limits of validity of the analytical calculations. The main physical results are also obtainable within a simple approximation that considers the energy of interphase boundary as a fixed value, neglecting its temperature dependence and the thickness of the boundary. A more involved but consistent treatment provides the same results within the accepted approximation and sheds light on the reason of validity of the simplified approach.

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Phase transition in compressible Ising systems at fixed volume

Cited by 4 publications

References 23 publications

Intermediate States at Structural Phase Transition: Model with a One-Component Order Parameter Coupled to Strains

Intermediate States at Structural Phase Transition: Model with a One-Component Order Parameter Coupled to Strains

Electrode dependence of polydomain stability in ferroelectric thin films

Effects of interphase boundaries in Ginzburg–Landau one-dimensional model of two-phase states in clamped systems

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