Journal ArticleDOI
Dynamics of gas–surface interactions: 3D generalized Langevin model applied to fcc and bcc surfaces
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TLDR
In this article, a three dimensional generalized Langevin formalism is presented and applied to Ar and Xe interactions with Pt (111), and approximate parameters for the random force and friction terms are proposed which permit realistic description of the motion and response of the surface atoms, including proper correlations among neighboring atoms.Abstract:
A three dimensional generalized Langevin formalism is presented and applied to Ar and Xe interactions with Pt (111). Approximations for the random force and friction terms are proposed which permit realistic description of the motion and response of the surface atoms, including proper correlations among neighboring atoms. A ’’ghost atom’’ technique is developed which provides convenient numerical solution of the generalized Langevin equations in such a way that the fluctuation–dissipation theorem relating the random force and friction is satisfied rigorously. A simple prescription for determining parameters in the random force and friction is outlined. The prescription is applied to a four‐atom active zone to obtain explicit relationships for all parameters, depending only on the bulk and surface Debye frequencies, for fcc (100), (110), and (111), and bcc (100) and (110) surfaces. Calculations of energy accommodation, sticking probabilities, and thermal desorption rates are reported for Ar and Xe on Pt(111). The sensitivity of these properties on the parameters of the random force and friction, i.e., on the phonon spectrum, is examined. The dependence is found to be sufficiently weak to demonstrate convincingly that the generalized Langevin approach with relatively simple parameterization is capable of describing gas–surface dynamics with high accuracy.read more
Citations
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References
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Journal ArticleDOI
The fluctuation-dissipation theorem
TL;DR: In this article, the linear response of a given system to an external perturbation is expressed in terms of fluctuation properties of the system in thermal equilibrium, which may be represented by a stochastic equation describing the fluctuation, which is a generalization of the familiar Langevin equation in the classical theory of Brownian motion.
Journal ArticleDOI
Generalized Langevin equation approach for atom/solid-surface scattering: General formulation for classical scattering off harmonic solids
Steven A. Adelman,J. D. Doll +1 more
TL;DR: In this paper, a general theoretical framework for introducing manybody or lattice effects into gas/solid scattering is presented, which is restricted to classical scattering off harmonic lattices but is otherwise completely general.
Journal ArticleDOI
Molecular dynamics of surface diffusion. I. The motion of adatoms and clusters
TL;DR: In this paper, the motion of isolated adatoms and small clusters on a crystal surface is investigated by a novel and efficient simulation technique, where the trajectory of each atom is calculated by molecular dynamics, but the exchange of kinetic energy with the crystal lattice is included through interactions with a "ghost" atom.
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