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We study a simplified two-dimensional model for a cubic-to-orthorhombic phase transition occuring in certain shape-memory-alloys. In the low temperature regime the linear theory of elasticity predicts various possible patterns of martensite…

偏微分方程分析 · 数学 2016-06-29 Angkana Rüland

It is difficult to derive the solid--fluid transition from microscopic models. We introduce particle systems whose potentials do not decay with distance and calculate their partition function exactly using a method similar to that for…

统计力学 · 物理学 2015-09-04 Hisato Komatsu

We have developed a simple model for the study of a cubic to tetragonal martensitic transition, under athermal conditions, in systems with a certain amount of disorder. We have performed numerical simulations that allow for a statistical…

统计力学 · 物理学 2015-05-13 B. Cerruti , E. Vives

We present a first-principles investigation of structural and elastic properties of experimentally observed phases of bulk SrRuO$_3$ - namely orthorhombic, tetragonal, and cubic - by applying density functional theory (DFT) approximations.…

材料科学 · 物理学 2016-10-11 Š. Masys , V. Jonauskas

When compressed, certain lattices undergo phase transitions that may allow nuclei to gain significant kinetic energy. To explore the dynamics of this phenomenon, we develop a framework to study Coulomb coupled N-body systems constrained to…

其他凝聚态物理 · 物理学 2024-10-08 Aidan Bachmann , Pierre-Alexandre Gourdain , Eric G. Blackman

We consider two-dimensional systems of point particles located on rectangular lattices and interacting via pairwise potentials. The goal of this paper is to investigate the phase transitions (and their nature) at fixed density for the…

数学物理 · 物理学 2025-09-24 Laurent Bétermin , Ladislav Šamaj , Igor Travěnec

We formulate a phenomenological elasto-plastic theory to describe a solid undergoing a structural transition from a square (p4mm) to an oblique (p2) lattice in two dimensions. Within our theory, the components of the strain may be…

材料科学 · 物理学 2010-03-18 Arya Paul , Surajit Sengupta , Madan Rao

We study a system of particles in two dimensions interacting via a dipolar long-range potential $D/r^3$ and subject to a square-lattice substrate potential $V({\bf r})$ with amplitude $V$ and lattice constant $b$. The isotropic interaction…

统计力学 · 物理学 2016-08-24 Barbara Gränz , Sergey E. Koshunov , Vadim B. Geshkenbein , Gianni Blatter

A two-dimensional lattice gas model is proposed. The ground state of this model with a fixed density is neither periodic nor quasi-periodic. It also depends on system size in an irregular manner. On the other hand, it is ordered in the…

统计力学 · 物理学 2015-05-19 Shin-ichi Sasa

Using a modified Lennard-Jones model for elliptic particles and spherical impurities, we present results of molecular dynamics simulation in two dimensions. In one-component systems of elliptic particles, we find an orientation phase…

软凝聚态物质 · 物理学 2012-03-13 Kyohei Takae , Akira Onuki

In the present chapter, we discuss an approach for transition from discrete to continuum description of thermomechanical behavior of solids. The transition is carried out for several anharmonic systems: one-dimensional crystal,…

统计力学 · 物理学 2017-08-01 Anton M. Krivtsov , Vitaly A. Kuzkin

We study a spin system with two- and four-spin exchange interactions on the triangular lattice, which is a possible model for the nuclear magnetism of solid $^3$He layers. It is found that a novel spin structure with scalar chiral order…

凝聚态物理 · 物理学 2009-10-30 Tsutomu Momoi , Kenn Kubo , Koji Niki

An asymmetric generalization of the zero-temperature Glauber model on a lattice is introduced. The dynamics of the particle-density and specially the large-time behavior of the system is studied. It is shown that the system exhibits two…

统计力学 · 物理学 2009-10-31 Mohammad Khorrami , Amir Aghamohammadi

Adsorbed gases within, or outside of, carbon nanotubes may be analyzed with an approximate model of adsorption on lattice sites situated on a cylindrical surface. Using this model, the ground state energies of alternative lattice structures…

软凝聚态物质 · 物理学 2016-08-31 M. Mercedes Calbi , Silvina M. Gatica , Mary J. Bojan , Milton W. Cole

We numerically investigate two-dimensional systems of hard rectangles at constant pressure through extensive hard-particle Monte Carlo simulations. We determine the complete phase diagram as a function of packing fraction and aspect ratio,…

软凝聚态物质 · 物理学 2025-05-15 Denis Dertli , Thomas Speck

By performing constant-pressure variable-cell ab initio molecular dynamics simulations we find a quadrupolar orthorhombic structure, of $Pca2_1$ symmetry, for the broken symmetry phase (phase II) of solid H2 at T=0 and P =110 - 150 GPa. We…

材料科学 · 物理学 2009-10-30 Jorge Kohanoff , Sandro Scandolo , Guido L. Chiarotti , Erio Tosatti

Phase transitions are a fundamental concept in science describing diverse phenomena ranging from, e.g., the freezing of water to Bose-Einstein condensation. While the concept is well-established in equilibrium, similarly fundamental…

We investigate the occurrence of waterlike thermodynamic and dynamic anomalous behavior in a one dimensional lattice gas model. The system thermodynamics is obtained using the transfer matrix technique and anomalies on density and…

A study of the tetragonal to orthorhombic phase transition of GdFeAsO is presented. Planes of the reciprocal space were reconstructed form single-crystal synchrotron X-ray diffraction data. By cooling below the structural transition…

超导电性 · 物理学 2015-06-11 F. Nitsche , Th. Doert , M. Ruck

We study, using molecular dynamics simulations, the kinetics of shape recovery in a model solid undergoing transformations from square to a general rhombic lattice, the triangular lattice being included as a special case. We determine the…

材料科学 · 物理学 2009-11-13 Jayee Bhattacharya , Surajit Sengupta , Madan Rao
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