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Motivated by improving the understanding of the quantum-to-classical transition we use a simple model of classical discrete interactions for studying the discrete-to-continuous transition in the classical harmonic oscillator. A parallel is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Breno. R. Segatto , Julio S. Azevedo , Manoelito M. de Souza

Equiatomic nickle-titanium (NiTi) is investigated to determine the consequences of point defects on the Martensitic phase transformation. Using molecular dynamics (MD) simulations, NiTi with 0.1%, 0.5%, 1%, 2%, and 3% of Schottky-type…

Materials Science · Physics 2015-05-01 Aria Mansouri Tehrani , Hamidreza Shahrokhshahi , Nader Parvin , Jakoah Brgoch

Metastable alloys, such as $\beta$-phase titanium (Ti) alloys with a body-centered cubic (BCC) lattice, can exhibit exceptional mechanical properties through the interplay of multiple deformation mechanisms -- diffusionless phase…

Materials Science · Physics 2025-10-16 Ganlin Chen , Deepak V Pillai , Yufeng Zheng , Liang Qi

In this paper we consider a simplified two-dimensional scalar model for the formation of mesoscopic domain patterns in martensitic shape-memory alloys at the interface between a region occupied by the parent (austenite) phase and a region…

Mathematical Physics · Physics 2012-09-19 Alessandro Giuliani , Stefan Mueller

An original thermodynamically consistent large strains-based multiphase phase-field (PF) approach of Ginzburg-Landau type is developed for studying the grain boundary (GB)-induced martensitic transformations (MTs) in polycrystalline…

Materials Science · Physics 2022-06-24 Anup Basak

Materials which can undergo extremely fast displacive transformations as well as very slow diffusive transformations are studied using a Ginzburg-Landau framework to understand the physics behind microstructure formation and…

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

The redistribution of energy levels between energy bands is studied for a family of simple effective Hamiltonians depending on one control parameter and possessing axial symmetry and energy-reflection symmetry. Further study is made on the…

Quantum Physics · Physics 2017-07-14 Guillaume Dhont , Toshihiro Iwai , Boris Zhilinskii

We present two new interatomic potentials for platinum (Pt) in angular-dependent potential (ADP) and modified Tersoff (MT) formats. Both potentials have been trained on a reference database of first-principles calculations without using…

Materials Science · Physics 2026-05-05 R. K. Koju , Y. Li , Y. Mishin

General features of the $\alpha-\beta$ transition of quartz are investigated. Molecular dynamics methods are mainly used, an analytic treatment being deferred to a work in preparation. A basic preliminary observation is that the transition…

Statistical Mechanics · Physics 2023-07-26 Andrea Carati , Fabrizio Gangemi , Roberto Gangemi , Luigi Galgani

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…

Analysis of PDEs · Mathematics 2016-06-29 Angkana Rüland

The Martensitic transformation (MT) in A15 binary-alloy superconductor V_3Si, though studied extensively, has not yet been conclusively linked with a transition to superconductivity. Previous NMR studies have mainly been on powder samples…

Superconductivity · Physics 2022-06-08 A. A. Gapud , S. K. Ramakrishnan , E. L. Green , A. P. Reyes

A study of high pressure solid Te was carried out at room temperature using Raman spectroscopy and Density Functional Theory (DFT) calculations. The analysis of the P-dependence of the experi- mental phonon spectrum reveals the occurrence…

We evaluate the effectiveness of different classical potentials to predict the thermodynamics of a number of organic solid form polymorphs relative to experimentally reported values using the quasi-harmonic approximation. Using the…

Materials Science · Physics 2020-10-21 Nathan S. Abraham , Marcus T. Hock , Michael R. Shirts

A mapping is developed between the quantum Hall plateau transition and two-dimensional self-interacting lattice polymers. This mapping is exact in the classical percolation limit of the plateau transition, and diffusive behavior at the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Joel E. Moore

The classical model that describes the motion of an atom in a magnetic trap is solved in order to investigate the relationship between the failure of the usual adiabatic approximation assumption and the physical parameters of the trap. This…

Quantum Gases · Physics 2015-05-18 Bruno Zambon , Roberto Franzosi

Lattice dynamical methods used to predict phase-transformations in crystals typically evaluate the harmonic phonon spectra and therefore do not work in frequent and important situations where the crystal structure is unstable in the…

Materials Science · Physics 2015-05-18 Petros Souvatzis , Dominik Legut , Olle Eriksson , Mikhail I. Katsnelson

A one-dimensional long-range model of classical rotators with an extended degree of complexity, as compared to paradigmatic long-range systems, is introduced and studied. Working at constant density, in the thermodynamic limit one can prove…

Statistical Mechanics · Physics 2015-09-03 Alessio Turchi , Duccio Fanelli , Xavier Leoncini

We report a classical interatomic force field for TiO$_2$, which has been parameterized using density functional theory forces, energies, and stresses in the rutile crystal structure. The reliability of this new classical potential is…

High-pressure torsion (HPT) can facilitate phase transformations in titanium dioxide (TiO2) and stabilize its high-pressure columbite phase, as an active photocatalyst, by shear straining under high pressure. This study aims to understand…

Materials Science · Physics 2024-06-03 Jacqueline Hidalgo-Jimenez , Taner Akbay , Yuji Ikeda , Tatsumi Ishihara , Kaveh Edalati

We investigate the evolution of the electroweak phase transition, using a one-Higgs effective potential that can be regarded as an approximation for the Minimal Supersymmetric Standard Model. The phase transition occurs in a small interval…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ariel Megevand