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We propose a one-dimensional (1D) diffusion equation (heat equation) for systems in which the diffusion constant (thermal diffusivity) varies alternately with a spatial period $a$. We solve the time evolution of the field (temperature)…

Mesoscale and Nanoscale Physics · Physics 2022-04-18 S. Makino , T. Fukui , T. Yoshida , Y. Hatsugai

Transition to thermal equilibrium in a uniformly heated two-dimensional harmonic triangular lattice with nearest neighbor interactions is investigated. Initial conditions, typical for molecular dynamics simulations, are considered.…

Statistical Mechanics · Physics 2017-09-15 V. A. Tsaplin , V. A. Kuzkin

Ion diffusion is important in a variety of applications, yet fundamental understanding of the diffusive process in solids is still missing, especially considering the interaction of lattice vibrations (phonons) and the mobile species. In…

Materials Science · Physics 2020-12-02 Kiarash Gordiz , Sokseiha Muy , Wolfgang G. Zeier , Yang Shao-Horn , Asegun Henry

Using a nonperturbative classical model for ionic motion through one-dimensional (1D) solids, we explore how thermal lattice vibrations affect ionic transport properties. Based on analytic and numerical calculations, we find that the mean…

Mesoscale and Nanoscale Physics · Physics 2023-09-27 Harshitra Mahalingam , Ben Andrew Olsen , Aleksandr Rodin

We present preliminary results towards a fully non-perturbative determination of the equation of state of QCD at very high-temperatures, $T\approx 3-80\,{\rm GeV}$. The key ingredient is the lattice formulation of QCD in a moving reference…

High Energy Physics - Lattice · Physics 2019-04-02 Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

We study the effects of atomic vibrations on the solid-state chemical shielding tensor using first principles density functional theory calculations. At the harmonic level, we use a Monte Carlo method and a perturbative expansion. The Monte…

Materials Science · Physics 2014-10-07 Bartomeu Monserrat , Richard J. Needs , Chris J. Pickard

This contribution is a brief introduction to nonthermal effects related to modifications of the interatomic potential upon ultrafast excitation of the electronic system of solids, primarily focusing on the swift heavy ion track problem. We…

Materials Science · Physics 2023-12-29 N. Medvedev , R. Voronkov , A. E. Volkov

Various unusual behaviors of artificial materials are governed by their topological properties, among which the edge state at the boundary of a photonic or phononic lattice has been captivated as a popular notion. However, this remarkable…

Applied Physics · Physics 2025-09-11 Minghong Qi , Dong Wang , Pei-Chao Cao , Xue-Feng Zhu , Cheng-Wei Qiu , Hongsheng Chen , Ying Li

This review gives a critical assessment of the current state of lattice simulations of QCD thermodynamics and what it teaches us about hot hadronic matter. It outlines briefly lattice methods for studying QCD at nonzero temperature and zero…

High Energy Physics - Lattice · Physics 2010-01-21 Carleton DeTar

Predicting solid-solid phase transitions remains a long-standing challenge in materials science. Solid-solid transformations underpin a wide range of functional properties critical to energy conversion, information storage, and thermal…

Materials Science · Physics 2025-06-03 Cibrán López , Joshua Ojih , Ming Hu , Josep Lluis Tamarit , Edgardo Saucedo , Claudio Cazorla

Using the methods of computer modeling this scientific paper studies the special features of diffusion of the particles subjected to the external periodic force in the crystal lattice. The particle motion is described by a Langevin…

Statistical Mechanics · Physics 2011-11-04 I. G. Marchenko , I. I. Marchenko

Melting behaviors of defective crystals under extreme conditions are theoretically investigated using the statistical moment method. In our theoretical model, heating processes cause missing atoms or vacancies in crystal structures via…

Materials Science · Physics 2020-05-15 Tran Dinh Cuong , Anh D. Phan

The present paper concludes our investigations on the QCD cross-over transition temperatures with 2+1 staggered flavours and one-link stout improvement. We extend our previous two studies [Phys. Lett. B643 (2006) 46, JHEP 0906:088 (2009)]…

High Energy Physics - Lattice · Physics 2014-11-21 Szabolcs Borsanyi , Zoltan Fodor , Christian Hoelbling , Sandor D Katz , Stefan Krieg , Claudia Ratti , Kalman K. Szabo

Static and dynamical properties of elastic phase transitions under the influence of short--range defects, which locally increase the transition temperature, are investigated. Our approach is based on a Ginzburg--Landau theory for…

Condensed Matter · Physics 2016-08-31 M. Bulenda , F. Schwabl , U. C. Täuber

Recent results on QCD thermodynamics are presented. The nature of the T>0 transition is determined, which turns out to be an analytic cross-over. The absolute scale for this transition is calculated. The temperature dependent static…

High Energy Physics - Lattice · Physics 2009-04-14 Z. Fodor

Accurate prediction of electron temperature ($T_{\rm e}$) is critical for non-equilibrium plasma applications ranging from hypersonic flight to plasma-assisted combustion. We recently proposed a thermodynamically consistent model for…

Plasma Physics · Physics 2026-03-13 Bernard Parent , Felipe Martin Rodriguez Fuentes

This study explores the impact of temperature on defect dynamics in tungsten, emphasizing its application in nuclear fusion reactors as Plasma Facing Components (PFCs). Through atomistic simulations, the research elucidates the intricate…

Materials Science · Physics 2024-03-20 Yang Zhang , Jason R. Trelewicz

An approach for analytical description of thermal processes in harmonic lattices is presented. We cover longitudinal and transverse vibrations of chains and out-of-plane vibrations of two-dimensional lattices with interactions of an…

Statistical Mechanics · Physics 2017-11-29 Vitaly A. Kuzkin , Anton M. Krivtsov

The effect of finite temperature $T$ and finite strain rate $\dot\gamma$ on the statistical physics of plastic deformations in amorphous solids made of $N$ particles is investigated. We recognize three regimes of temperature where the…

Statistical Mechanics · Physics 2015-05-19 Smarajit Karmakar , Edan Lerner , Itamar Procaccia , Jacques Zylberg

Lattice dynamical methods used to predict phase transformations in crystals typically deal with harmonic phonon spectra and are therefore not applicable in important situations where one of the competing crystal structures is unstable in…

Statistical Mechanics · Physics 2015-05-27 Petros Souvatzis , Sergiu Arapan , Olle Eriksson , Mikhail Katsnelson
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