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Related papers: Consequences of lattice mismatch for phase equilib…

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Elastic interactions arising from a difference of lattice spacing between two coherent phases can have a strong influence on the phase separation (coarsening) of alloys. If the elastic moduli are different in the two phases, the elastic…

Mathematical Physics · Physics 2015-06-26 P. Fratzl , O. Penrose , J. L. Lebowitz

The evaluation of phase stabilities of unstable elemental phases is a long-standing problem in the computational assessment of phase diagrams. Here we tackle this problem by explicitly calculating phase diagrams of intermetallic systems…

Materials Science · Physics 2016-09-20 Shmuel Barzilai , Cormac Toher , Stefano Curtarolo , Ohad Levy

A consistent, small scale description of plastic motion in a crystalline solid is presented based on a phase field description. By allowing for independent mass motion given by the phase field, and lattice distortion, the solid can remain…

Materials Science · Physics 2018-12-26 Audun Skaugen , Luiza Angheluta , Jorge Viñals

Materials which can undergo slow diffusive transformations as well as fast displacive transformations are studied using the phase-field method. The model captures the essential features of the time-temperature-transformation (TTT) diagrams,…

Materials Science · Physics 2007-05-23 Mathieu Bouville , Rajeev Ahluwalia

We consider a realistic model, i.e., ultracold atoms in a driven optical lattice, to realize phase space crystals [Phys. Rev. Lett. 111, 205303 (2013)]. The corresponding lattice structure in phase space is more complex and contains rich…

Quantum Gases · Physics 2016-02-02 Lingzhen Guo , Michael Marthaler

Investigation of simple far-from-equilibrium systems exhibiting phase separation leads to the conclusion that phase coexistence is not well defined in this context. This is because the properties of the coexisting nonequilibrium systems…

Statistical Mechanics · Physics 2016-02-11 Ronald Dickman

We present Monte Carlo simulations on a lattice system that displays a first order phase transition between a disordered phase (liquid) and an ordered phase (crystal). The model is augmented by an interaction that simulates the effect of…

Statistical Mechanics · Physics 2007-05-23 Alessandro Attanasi , Andrea Cavagna , Jose' Lorenzana

We present Monte Carlo simulations of a three-state lattice gas, half-filled with two types of particles which attract one another, irrespective of their identities. A bias drives the two particle species in opposite directions,…

Statistical Mechanics · Physics 2009-11-07 E. Lyman , B. Schmittmann

We present a multi-phase design parameterization to obtain optimized heterogeneous lattice structures. The 3D domain is discretized into a cubical grid wherein each cube has eight distinct unit cell types or phases. When all phases are…

Materials Science · Physics 2021-03-04 Yash Agrawal , G. K. Ananthasuresh

We study the influence of thermal fluctuations in the phase diagram of a recently introduced two-dimensional phase field crystal model with an external pinning potential. The model provides a continuum description of pinned lattice systems…

Materials Science · Physics 2008-09-10 J. A. P. Ramos , E. Granato , C. V. Achim , S. C. Ying , K. R. Elder , T. Ala-Nissila

A nonuniform system is considered consisting of two phases with different densities of particles. At each given time the distribution of the phases in space is chaotic: each phase filling a set of regions with random shapes and locations. A…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , E. P. Yukalova

We present a lattice model to study the equilibrium phase diagram of ordered alloys with one magnetic component that exhibits a low temperature phase separation between paramagnetic and ferromagnetic phases. The model is constructed from…

Materials Science · Physics 2009-11-07 Jordi Marcos , Eduard Vives , Teresa Castan

We have investigated the phase transition properties of classical linear sigma model. The fields were kept in contact with a heat bath for sufficiently long time such that fields are equilibrated at the temperature of the heat bath. It was…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. K. Chaudhuri

Fluids with competing short range attraction and long range repulsive interactions between the particles can exhibit a variety of microphase separated structures. We develop a lattice-gas (generalised Ising) model and analyse the phase…

Soft Condensed Matter · Physics 2016-01-20 Blesson Chacko , Christopher Chalmers , Andrew J. Archer

We study a system of ultra-cold atoms possessing long range interaction (e.g. dipole-dipole interaction) in a one dimensional optical lattice in the presence of a confining harmonic trap. We have shown that for large enough on-site and…

Quantum Gases · Physics 2010-11-12 Tapan Mishra , Sunethra Ramanan , Ramesh V. Pai , Meetu Sethi Luthra , B. P. Das

We consider the effects of anisotropic coherency strain (due to lattice mismatch) on phase separation in intercalation materials, motivated by the high-rate Li-ion battery material \fepo. Using a phase-field model coupled to elastic…

Materials Science · Physics 2012-02-09 Liam G. Stanton , Martin Z. Bazant

Attractive interaction between spinless fermions in a two-dimensional lattice drives the formation of a topological superfluid. But the topological phase is dynamically unstable towards phase separation when the system has a high density of…

Quantum Gases · Physics 2021-10-04 Junhua Zhang , Sumanta Tewari , V. W. Scarola

The thermodynamics of the lattice model of intercalation of ions in crystals is considered in the mean field approximation. Pseudospin formalism is used for the description of interaction of electrons with ions and the possibility of…

Strongly Correlated Electrons · Physics 2009-07-08 T. S. Mysakovych , V. O. Krasnov , I. V. Stasyuk

Many intercalation compounds possess layered structures or inter-penetrating lattices that enable phase separation into three or more stable phases, or "stages," driven by competing intra-layer and inter-layer forces. While these structures…

Chemical Physics · Physics 2017-06-27 Raymond B. Smith , Edwin Khoo , Martin Z. Bazant

We study a harmonic triangular lattice, which relaxes in the presence of a weak, short-wavelength periodic potential. Monte Carlo simulations reveal that the elastic lattice has only short-ranged positional correlations, despite the absence…

Condensed Matter · Physics 2007-05-23 Ronald Dickman , Eugene M. Chudnovsky
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