{ "id": "0707.2335", "version": "v1", "published": "2007-07-16T14:53:24.000Z", "updated": "2007-07-16T14:53:24.000Z", "title": "Quasielastic He atom scattering from surfaces: A stochastic description of the dynamics of interacting adsorbates", "authors": [ "R. Martinez-Casado", "J. L. Vega", "A. S. Sanz", "S Miret-Artes" ], "comment": "32 pages, 7 figures", "journal": "J. Phys.: Condens. Matter 19, 305002 (2007)", "doi": "10.1088/0953-8984/19/30/305002", "categories": [ "cond-mat.stat-mech", "cond-mat.mtrl-sci", "quant-ph" ], "abstract": "The study of diffusion and low frequency vibrational motions of particles on metal surfaces is of paramount importance; it provides valuable information on the nature of the adsorbate-substrate and the substrate-substrate interactions. In particular, the experimental broadening observed in the diffusive peak with increasing coverage is usually interpreted in terms of a dipole-dipole like interaction among adsorbates via extensive molecular dynamics calculations within the Langevin framework. Here we present an alternative way to interpret this broadening by means of a purely stochastic description, namely the interacting single adsorbate approximation, where two noise sources are considered: (1) a Gaussian white noise accounting for the surface friction and temperature, and (2) a white shot noise replacing the interaction potential between adsorbates. Standard Langevin numerical simulations for flat and corrugated surfaces (with a separable potential) illustrate the dynamics of Na atoms on a Cu(100) surface which fit fairly well to the analytical expressions issued from simple models (free particle and anharmonic oscillator) when the Gaussian approximation is assumed. A similar broadening is also expected for the frustrated translational mode peaks.", "revisions": [ { "version": "v1", "updated": "2007-07-16T14:53:24.000Z" } ], "analyses": { "keywords": [ "stochastic description", "interacting adsorbates", "atom scattering", "quasielastic", "low frequency vibrational motions" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics Condensed Matter", "year": 2007, "month": "Aug", "volume": 19, "number": 30, "pages": 305002 }, "note": { "typesetting": "TeX", "pages": 32, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007JPCM...19D5002M" } } }