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We studied the phase diagram of thin ferroelectric films with incommensurate phases and semiconductor properties within the framework of Landau-Ginzburg-Devonshire theory. We performed both analytical calculations and phase-field modelling…

In frameworks of the phenomenological approach we analyze of the phase diagram of mixed compounds. We obtain space groups of symmetry of the real structures as result of phase transition from close-packed degenerate structure. The theory of…

Statistical Mechanics · Physics 2007-05-23 B. R. Gadjiev

The theory of a sequence of phase transitions of high-symmetry-incommensurate-commensurate phase controlled by competing order parameters is investigated. The temperature dependence of dielectric constant is derived. The comparison of the…

Statistical Mechanics · Physics 2007-05-23 B. R. Gadjiev

Dimension-reduction homogenization results for thin films have been obtained under hypotheses of periodicity or almost-periodicity of the energies in the directions of the mid-plane of the film. In this note we consider thin films, obtained…

Analysis of PDEs · Mathematics 2022-12-22 Irene Anello , Andrea Braides , Fabrizio Caragiulo

A recent letter [Lin & Goldman, Phys. Rev. Lett. 106, 127003 (2011)] has presented experimental data in highly disordered thin films, which were interpreted as a quantum phase transition, an intriguing and surprising result for this system.…

Superconductivity · Physics 2015-06-03 G. J. Conduit , Yigal Meir

In the framework of an extended phenomenological approach to phase transitions, it is shown that existing nonlinear relation between local critical atomic parameters and phenomenological order parameter induces the corresponding nonlinear…

Statistical Mechanics · Physics 2015-06-23 Vladimir Dmitriev

The most important recent results in the theory of phase transitions and quantum effects in quantum anharmonic crystals are presented and discussed. In particular, necessary and sufficient conditions for a phase transition to occur at some…

Statistical Mechanics · Physics 2015-06-04 Sergio Albeverio , Yuri Kozitsky , Yuri Kondratiev , Michael Roeckner

Almost all normal-incommensurate phase transitions observed experimentally are continuous. We show that there is not any theoretical reason for this general behaviour in perfect crystals. A normal-incommensurate phase transition that is not…

Statistical Mechanics · Physics 2009-10-31 A. Cano , A. P. Levanyuk

The analytical solution is considered for the phenomenological theory of the second order ferroelectric or ferroelastic phase transition in a thin film with arbitrary boundary conditions. The general phase-plane portrait for the relevant…

Mesoscale and Nanoscale Physics · Physics 2012-08-27 K. R. Gabbasova , A. L. Pirozerskii , E. V. Charnaya

Phase fluctuations in finite thickness layered superconducting films are studied theoretically. The model consists of a set of layers, coupled to each other via a gradient-like term in the phase-only action. It is shown that the effective…

Disordered Systems and Neural Networks · Physics 2010-12-23 Y. Dubi , R. R. Biswas , A. V. Balatsky

The consequences of the opening of a phason gap in incommensurate systems are studied on a simple model, the discrete frustrated $\phi^4$-model. Analytical considerations and numerical results show that there is a very weak phase transition…

Statistical Mechanics · Physics 2007-05-23 A. N. Rubtsov , T. Janssen

We develop a phenomenological thermodynamic theory of ferroelectric BaTiO3 (BT) thin films epitaxially grown on cubic substrates using the Landau-Devonshire eight-order potential. The constructed "misfit-temperature" phase diagram is…

Materials Science · Physics 2007-06-24 V. B. Shirokov , Yu. I. Yuzyuk , B. Dkhil , V. V. Lemanov

Low temperature dependence of specific heat of one- dimensional multicomponent systems at the commensurate- incommensurate phase transition point is studied. It is found that for canonical systems, with a fixed total number of particles,…

Strongly Correlated Electrons · Physics 2015-05-14 Temo Vekua

Within a phenomenological approach the density of induced uniaxial anisotropy in nanostructures K(r) is treated as a physical field additional to the magnetization M(r). The equilibrium distributions of K(r) are formed under the influence…

Materials Science · Physics 2007-05-23 A. N. Bogdanov , U. K. Roessler

It is shown that transition from the mixed state without the phase coherence to the mixed state with the long-range phase coherence (i.e. to the Abrikosov state) of superconductors without disorder must be first order phase transition. The…

Superconductivity · Physics 2007-05-23 A. V. Nikulov

Nuclear matter at finite temperature and barion density exhibits several phase transitions that could happen at the early stages of the Universe evolution and could be realized in heavy-ion or hadron-hadron collisions. Microscopic…

High Energy Physics - Phenomenology · Physics 2015-02-26 V. I. Yukalov , E. P. Yukalova

The position of a field-tuned superconductor-insulator quantum transition occuring in disordered thin films is examined within the mean field approximation. Our calculation shows that the microscopic disorder-induced reduction of the…

Superconductivity · Physics 2009-11-07 Hideharu Ishida , Hiroto Adachi , Ryusuke Ikeda

Recent theoretical analysis of spatially-nonuniform modes of the thermomagnetic instability in superconductors [Phys. Rev. B 70, 224502 (2004)] is generalized to the case of a thin film in a perpendicular applied field. We solve the thermal…

Superconductivity · Physics 2009-11-11 D. V. Denisov , A. L. Rakhmanov , D. V. Shantsev , Y. M. Galperin , T. H. Johansen

Using an interface displacement model we calculate the shapes of thin liquidlike films adsorbed on flat substrates containing a chemical stripe. We determine the entire phase diagram of morphological phase transitions in these films as…

Soft Condensed Matter · Physics 2009-10-31 C. Bauer , S. Dietrich

The paper continues a series of papers devoted to treatment of the crystalline state on the basis of the approach in equilibrium statistical mechanics proposed earlier by the author. This paper is concerned with elaboration of a…

Statistical Mechanics · Physics 2013-02-08 V. A. Golovko
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