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Cofactor Conditions (CCs) are geometric compatibility conditions mathematically derived from the crystallographic theory of martensitic phase transformation. The CCs guarantee compatible interfaces between the austenite and the parallelled…

Materials Science · Physics 2025-04-01 Hanlin Gu , Fan Feng

Nanoprecipitates form during nucleation of multiphase equilibria in phase segregating multicomponent systems. In spite of their ubiquity, their size-dependent physical chemistry, in particular at the boundary between phases with…

Materials Science · Physics 2013-11-20 Paul Erhart , Babak Sadigh

The interactions between a group of components are commonly studied in several areas of science (social science, biology, material science, complex dynamical systems, among others) using the methods of thermodynamics and statistical…

Statistical Mechanics · Physics 2021-07-28 Constanza Farías , Sergio Davis

Polycrystalline samples of Co$_{1-x}$Cu$_x$MnGe ($x=0.05, 0.10, 0.15, 0.22$ and 0.35), prepared by arc melting under argon atmosphere, have been annealed at 1123 K with final furnace cooling. The samples have been investigated by powder…

Materials Science · Physics 2022-07-12 Ryszard Duraj , Aleksandra Deptuch , Andrzej Szytuła , Bogusław Penc , Stanisław Baran

We consider the ferromagnetic q-state Potts model on a finite grid graph with non-zero external field and periodic boundary conditions. The system evolves according to Glauber-type dynamics described by the Metropolis algorithm, and we…

Probability · Mathematics 2022-12-21 Gianmarco Bet , Anna Gallo , Francesca R. Nardi

An isotropic interaction potential for classical particles is devised in such a way that the crystalline ground state of the system changes discontinuously when some parameter of the potential is varied. Using this potential we model…

Statistical Mechanics · Physics 2015-05-13 M. F. Laguna , E. A. Jagla

The existence and search for thermodynamic phase transitions is of unfading interest. In this paper, we present numerical evidence of dynamical phase transitions occurring in boundary driven systems with a constrained integrated current. It…

Statistical Mechanics · Physics 2017-03-29 Ohad Shpielberg , Yaroslav Don , Eric Akkermans

Shape memory effect associated with martensitic transformations is of the rapidly developing field in nanotechnologies, where industrial use of systems established on that effect provide greater flexibility on the nano-devices fabrication…

The electronic structure of Mn_2NiGa has been studied using density functional theory and photoemission spectroscopy. The lower temperature tetragonal martensitic phase with c/a= 1.25 is more stable compared to the higher temperature…

Other Condensed Matter · Physics 2009-11-13 S. R. Barman , S. Banik , A. K. Shukla , C. Kamal , Aparna Chakrabarti

Employing the Ginzburg-Landau phase-field theory, a new coupled dynamic thermo-mechanical 3D model has been proposed for modeling the cubic-to-tetragonal martensitic transformations in shape memory alloy (SMA) nanostructures. The…

Materials Science · Physics 2015-05-20 R. Dhote , H. Gomez , R. Melnik , J. Zu

The temperature-induced structural and electronic transformation in VO$_2$ between the monoclinic M1 and tetragonal rutile phases was studied by means of \textit{ab initio} molecular dynamics, based on density functional theory with Hubbard…

Materials Science · Physics 2017-10-11 Dušan Plašienka , Roman Martoňák , Marcus C. Newton

We study the origin of the cubic to tetragonal and tetragonal to monoclinic structural transitions in KCrF3, and the associated change in orbital order, paying particular attention to the relevance of super-exchange in both phases. We show…

Strongly Correlated Electrons · Physics 2014-04-28 Carmine Autieri , Erik Koch , Eva Pavarini

We present a framework to segregate the roles of elastic and non-elastic deformations in the examination of real-space experiments of solid-solid Martensitic transitions. The Martensitic transformation of a body-centred-tetragonal(BCT) to a…

Soft Condensed Matter · Physics 2017-05-03 Saswati Ganguly , Priti S. Mohanty , Peter Schurtenberger , Surajit Sengupta , Anand Yethiraj

We investigate the Hubbard model on the anisotropic triangular lattice by means of the cellular dynamical mean field theory. The phase diagram determined in the Hubbard interaction versus temperature plane shows novel reentrant behavior in…

Strongly Correlated Electrons · Physics 2009-11-13 Takuma Ohashi , Tsutomu Momoi , Hirokazu Tsunetsugu , Norio Kawakami

A description of the martensitic transformations between the $\alpha$, $\beta$ and $\omega$ phases of titanium that includes nucleation and growth requires an accurate classical potential. Optimization of the parameters of a modified…

Materials Science · Physics 2009-11-13 R. G. Hennig , T. J. Lenosky , D. R. Trinkle , S. P. Rudin , J. W. Wilkins

We present a dynamical theory of a two-dimensional martensitic transition in an elastic solid, connecting a high-temperature phase which is nondegenerate and has triangular symmetry, and a low-temperature phase which is triply degenerate…

Condensed Matter · Physics 2015-06-25 A. C. E. Reid , R. J. Gooding

The phase transitions of random-field q-state Potts models in d=3 dimensions are studied by renormalization-group theory by exact solution of a hierarchical lattice and, equivalently, approximate Migdal-Kadanoff solutions of a cubic…

Statistical Mechanics · Physics 2021-09-15 Alpar Turkoglu , A. Nihat Berker

The thermodynamic formalism for dynamical systems with many degrees of freedom is extended to deal with time averages and fluctuations of some macroscopic quantity along typical orbits, and applied to coupled map lattices exhibiting phase…

Statistical Mechanics · Physics 2007-05-23 Kazumasa Takeuchi , Masaki Sano

The low-temperature crystal structure of Fe1.13Te, which exhibits an anomalous two-step magnetic transition, was clarified by the systematic x-ray diffraction measurements. It was found that two-step structural phase transition,…

Based on original investigations into the stages of nucleation and growth of martensite, a consideration has been given to dynamic models of formation of martensite plates with a fine structure of transformation twins, which are compatible…

Materials Science · Physics 2010-07-02 M. P. Kashchenko , V. G. Chashchina