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We discuss the molecular diffusion transport in infinitely dilute liquid solutions under non-isothermal conditions. This discussion is motivated by an occurring misinterpretation of thermodynamic transport equations written in terms of…

Statistical Mechanics · Physics 2018-04-18 Denis S. Goldobin

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

Electromigration-induced flow of islands and voids on the Cu(001) surface is studied at the atomic scale. The basic drift mechanisms are identified using a complete set of energy barriers for adatom hopping on the Cu(001) surface, combined…

Condensed Matter · Physics 2016-08-31 Hanoch Mehl , Ofer Biham , Oded Millo , Majid Karimi

We study the rotational and vibrational heating of diatomic molecules placed near a surface at finite temperature on the basis of macroscopic quantum electrodynamics. The internal molecular evolution is governed by transition rates that…

Quantum Physics · Physics 2009-12-14 Stefan Yoshi Buhmann , M. R. Tarbutt , Stefan Scheel , E. A. Hinds

The diffusion of two dimensional adatom islands (up to 100 atoms) on Cu(111) has been studied, using the self-learning Kinetic Monte Carlo (SLKMC) method [1]. A variety of multiple- and single-atom processes are revealed in the simulations,…

Materials Science · Physics 2015-05-30 Altaf Karim , Abdelkader Kara , Oleg Trushin , Talat S. Rahman

Motivated by recent research of Nikitin et al. (J.Phys.D vol. 49, 055301(2009)), we examine the effects of interatomic interactions on adatom surface diffusion. By using a mean-field approach in the random walk problem, we derive a…

Statistical Mechanics · Physics 2011-05-17 Yuri B. Gaididei , Vadim M. Loktev , Anton G. Naumovets , Anatoly G. Zagorodny

The Arrhenius crossover temperature, $T_{A}$, corresponds to a thermodynamic state wherein the atomistic dynamics of a liquid becomes heterogeneous and cooperative; and the activation barrier of diffusion dynamics becomes…

Materials Science · Physics 2023-01-31 Bulat N. Galimzyanov , Maria A. Doronina , Anatolii V. Mokshin

We present a model to study the statistics of a single structureless quantum particle freely moving in a space at a finite temperature. It is shown that the quantum particle feels the temperature and can exchange energy with its environment…

Statistical Mechanics · Physics 2010-10-04 Jian-Ping Peng

Any evolving system can change of state via thermal mechanisms (hopping a barrier) or via quantum tunneling. Most of the time, efficient classical mechanisms dominate at high temperatures. This is why an increase of the temperature can…

Materials Science · Physics 2014-02-14 M. Minissale , E. Congiu , S. Baouche , H. Chaabouni , A. Moudens , F. Dulieu , M. Accolla , S. Cazaux , G. Manico , V. Pirronello

We report the prediction of temperature-dependent diffusion coefficients of interstitial hydrogen, deuterium, and tritium atoms in $\alpha$-Ti using transition state theory. The microscopic parameters in the pre-factor and activation energy…

Materials Science · Physics 2015-06-15 Yong Lu , Ping Zhang

Configuration transitions of individual molecules and atoms on surfaces are traditionally described with energy barriers and attempt rates using an Arrhenius law. This approach yields consistent energy barrier values, but also attempt rates…

Mesoscale and Nanoscale Physics · Physics 2017-03-03 Jeffrey C. Gehrig , Marcos Penedo , Manfred Parschau , Johannes Schwenk , Miguel A. Marioni , Eric W. Hudson , Hans J. Hug

In this paper we use density-functional theory calculations to analyze both the stability and diffusion of Cu adatoms near and on the H-passivated Si(001) surface. Two different Cu sources are considered: depositing Cu from vacuum, and…

Materials Science · Physics 2024-02-08 A. Rodriguez-Prieto , D. R. Bowler

We analyse diffusion at low temperature by bringing the fluctuation-dissipation theorem (FDT) to bear on a physically natural, viscous response-function R(t). The resulting diffusion-law exhibits several distinct regimes of time and…

Statistical Mechanics · Physics 2018-05-03 Urbashi Satpathi , Supurna Sinha , Rafael D. Sorkin

Nonperturbative expressions are derived for the angular resolved energy transfer spectra in the quantum regime of multiphonon scattering of inert gas atoms from surfaces. Application to He atom scattering from a prototype heatbath…

Statistical Mechanics · Physics 2009-10-31 B. Gumhalter , A. Siber , J. P. Toennies

A combination of experimental techniques and molecular dynamics (MD) computer simulation is used to investigate the diffusion dynamics in Al80Ni20 melts. Experimentally, the self-diffusion coefficient of Ni is measured by the long-capillary…

Disordered Systems and Neural Networks · Physics 2009-11-13 Juergen Horbach , Subir K. Das , Axel Griesche , Michael-Peter Macht , Guenter Frohberg , Andreas Meyer

While anomalous diffusion coefficients with non-Arrhenius like temperature dependence are observed in a number of metals, a conclusive comprehensive framework of explanation has not been brought forward to date. Here, we use…

Materials Science · Physics 2022-07-19 Yaxian Wang , Zhangqi Chen , Wolfgang Windl , Ji-Cheng Zhao

Metallic glasses are promising materials with unique mechanical and thermal properties, but their atomic-scale dynamics remain challenging to understand. In this work, we develop a unified approach to investigate the glass transition and…

Materials Science · Physics 2025-02-07 Anh D. Phan , Do T. Nga , Ngo T. Que , Hailong Peng , Thongchanh Norhourmour , Le M. Tu

Diffusion of small particles is omnipresent in a plentiful number of processes occurring in Nature. As such, it is widely studied and exerted in almost all branches of sciences. It constitutes such a broad and often rather complex subject…

Statistical Mechanics · Physics 2023-01-11 Jakub Spiechowicz , Ivan G. Marchenko , Peter Hänggi , Jerzy Łuczka

A microscopic model for thermal excitation of vibrational ground state of a molecule interacting with a condensed medium is developed. The master equation for evolution of occupancies of the vibrational levels is derived. The rate constant…

Statistical Mechanics · Physics 2011-03-04 V. I. Teslenko , D. Y. Iatsenko

Deep saline aquifers are one of the best options for large-scale and long-term hydrogen storage. Predicting the diffusion coefficient of hydrogen molecules at the conditions of saline aquifers is critical for modelling hydrogen storage. The…