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A practical method for finding free energy barriers for transitions in high-dimensional classical and quantum systems is presented and used to calculate the dissociative sticking probability of H2 on a metal surface within transition state…

chem-ph · Physics 2009-10-22 Gregory Mills , Hannes Jonsson

Jump rates of muonium and hydrogen in diamond are calculated by quantum transition-state theory, based on the path-integral centroid formalism. This technique allows us to study the influence of vibrational mode quantization on the…

Materials Science · Physics 2009-11-13 Carlos P. Herrero , Rafael Ramirez

The diffusivity of hydrogen in cold-rolled pure iron is investigated using permeation and desorption methods. Electrochemical charging, electro-permeation and thermal desorption spectroscopy (TDS) experiments are conducted. Firstly, the…

Materials Science · Physics 2021-12-02 A. Zafra , Z. Harris , C. Sun , E. Martínez-Pañeda

Hydrogen diffusion on metals exhibits rich quantum behavior, which is not yet fully understood. Using simulations, we show that many hydrogen diffusion barriers can be categorized into those with "parabolic-tops" and those with…

Chemical Physics · Physics 2017-10-11 W. Fang , J. O. Richardson , J. Chen , X. -Z. Li , A. Michaelides

Diffusive transport properties of a quantum Brownian particle moving in a tilted spatially periodic potential and strongly interacting with a thermostat are explored. Apart from the average stationary velocity, we foremost investigate the…

Statistical Mechanics · Physics 2009-11-11 L. Machura , M. Kostur , P. Talkner , J. Luczka , P. Hänggi

Based on a true phase space probability distribution function and an ensemble averaging procedure we have recently developed [Phys. Rev. E 65, 021109 (2002)] a non-Markovian quantum Kramers' equation to derive the quantum rate coefficient…

Statistical Mechanics · Physics 2009-11-07 Dhruba Banerjee , Suman Kumar Banik , Bidhan Chandra Bag , Deb Shankar Ray

Structural defects in materials such as vacancies, grain boundaries, and dislocations may trap hydrogen and a local accumulation of hydrogen at these defects can lead to the degradation of the materials properties. An important aspect in…

Materials Science · Physics 2019-06-18 Yaojun A. Du , Jutta Rogal , Ralf Drautz

We discuss a quantum effect in the diffusion process by developing a theory, which takes the finite curvature of the potential field into account. The transport coefficients of our theory satisfy the well-known fluctuation-dissipation…

Nuclear Theory · Physics 2009-11-10 Noboru Takigawa , Sakir Ayik , Kouhei Washiyama , Sachie Kimura

An understanding of hydrogen diffusion on metal surfaces is important, not just for its role in heterogeneous catalysis and hydrogen fuel cell technology, but also because it provides model systems where tunneling can be studied under…

Chemical Physics · Physics 2014-04-30 Eliza M. McIntosh , K. Thor Wikfeldt , John Ellis , Angelos Michaelides , William Allison

The paper presents an analytical theory quantitatively describing the heterogeneous combustion of nonvolatile (metal) particles in the diffusion-limited regime. It is assumed that the particle is suspended in an unconfined, isobaric,…

Fluid Dynamics · Physics 2025-02-11 Daoguan Ning , Andreas Dreizler

We apply quantum rate theory to calculate the transition rates as hydrogen or deuterium atoms escape from a vacancy trap in iron into a neighbouring metastable site. We determine transition rates and corresponding activation energies over a…

Materials Science · Physics 2014-01-21 Ivaylo H. Katzarov , Anthony T. Paxton

Recent experimental data on the diffusion coefficient of carbon in alpha-iron below liquid nitrogen temperature (LNT) question the classical approach to the observed temperature dependence. As the temperature is lowered below LNT, the…

Materials Science · Physics 2007-05-23 Ludwik Dabrowski , Alexander Andreev , Mladen Georgiev

An application of the tight binding approximation is presented for the description of electronic structure and interatomic force in magnetic iron, both pure and containing hydrogen impurities. We assess the simple canonical d-band…

Materials Science · Physics 2015-05-19 A. T. Paxton , C. Elsaesser

Using conceptually and procedurally consistent density functional theory (DFT) calculations with an advanced meta-GGA exchange-correlation functional in ab initio molecular dynamics simulations, we determine the insulator-metal transition…

The adsorption and diffusion of hydrogen atoms on Cu(001) are studied using first-principles calculations. By taking into account the contribution of zero-point energy (ZPE), the originally identical barriers are shown to be different for H…

Mesoscale and Nanoscale Physics · Physics 2023-06-09 Xiaofan Yu , Yangwu Tong , Yong Yang

The electrochemical permeation test is one of the most used methods for characterising hydrogen diffusion in metals. The flux of hydrogen atoms registered in the oxidation cell might be fitted to obtain apparent diffusivities. The magnitude…

Materials Science · Physics 2019-12-06 A. Díaz , I. I. Cuesta , E. Martínez-Pañeda , J. M. Alegre

We show that the centroid molecular dynamics (CMD) method provides a realistic way to calculate the thermal diffusivity $a=\lambda/\rho c_{\rm V}$ of a quantum mechanical liquid such as para-hydrogen. Once $a$ has been calculated, the…

Chemical Physics · Physics 2021-05-10 Benjamin J. Sutherland , William H. D. Moore , David. E. Manolopoulos

There is a need for numerical models capable of predicting local accumulation of hydrogen near stress concentrators and crack tips to prevent and mitigate hydrogen assisted fracture in steels. The experimental characterisation of trapping…

Applied Physics · Physics 2020-10-27 A. Díaz , A. Zafra , E. Martínez-Pañeda , J. M. Alegre , J. Belzunce , I. I. Cuesta

Work belongs to the most basic notions in thermodynamics but it is not well understood in quantum systems, especially in open quantum systems. By introducing a novel concept of work functional along individual Feynman path, we invent a new…

Statistical Mechanics · Physics 2018-07-30 Ken Funo , H. T. Quan

{\em Ab initio} techniques based on density functional theory in the projector-augmented-wave implementation are used to calculate the free energy and a range of other thermodynamic properties of liquid iron at high pressures and…

Materials Science · Physics 2009-11-07 D. Alfe` , G. D. Price , M. J. Gillan
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