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Activated surface diffusion with interacting adsorbates is analyzed within the Linear Response Theory framework. The so-called interacting single adsorbate model is justified by means of a two-bath model, where one harmonic bath takes into…

Statistical Mechanics · Physics 2010-05-11 R. Martinez-Casado , A. S. Sanz , J. L. Vega , G. Rojas-Lorenzo , S. Miret-Artes

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…

Statistical Mechanics · Physics 2007-07-18 R. Martinez-Casado , J. L. Vega , A. S. Sanz , S Miret-Artes

Here, an approach in terms of shot noise is proposed to study and characterize surface diffusion and low vibrational motion when having interacting adsorbates on surfaces. In what we call statistical limit, that is, at long times and high…

Statistical Mechanics · Physics 2007-06-13 R. Martinez-Casado , J. L. Vega , A. S. Sanz , S. Miret-Artes

A quantum Markovian activated atom-surface diffusion model with interacting adsorbates is proposed for the intermediate scattering function, which is shown to be complex-valued and factorizable into a classical-like and a quantum-mechanical…

Statistical Mechanics · Physics 2008-11-14 R. Martinez-Casado , A. S. Sanz , S. Miret-Artes

The activated surface diffusion of interacting adsorbates is described in terms of the so-called interacting single adsorbate approximation, which is applied to the diffusion of Na atoms on Cu(001) for coverages up to 20% in quasielastic He…

Statistical Mechanics · Physics 2008-03-11 R. Martinez-Casado , J. L. Vega , A. S. Sanz , S. Miret-Artes

Phonon lineshapes in atom-surface scattering are obtained from a simple stochastic model based on the so-called Caldeira-Leggett Hamiltonian. In this single-bath model, the excited phonon resulting from a creation or annihilation event is…

Statistical Mechanics · Physics 2015-03-13 R. Martinez-Casado , A. S. Sanz , S. Miret-Artes

The experimental line shape broadening observed in adsorbate diffusion on metal surfaces with increasing coverage is usually related to the nature of the adsorbate-adsorbate interaction. Here we show that this broadening can also be…

Statistical Mechanics · Physics 2007-06-13 R. Martinez-Casado , J. L. Vega , A. S. Sanz , S. Miret-Artes

Surface diffusion of small adsorbates is analyzed in terms of the so-called intermediate scattering function and dynamic structure factor, observables in experiments using the well-known quasielastic Helium atom scattering and Helium spin…

Statistical Mechanics · Physics 2018-09-26 S. Miret-Artés

A non-equilibrium thermodynamics model able to analyze the combined effect of diffusion and adsorption in porous materials is proposed. The model considers the coupled dynamics of the diffusive phase, described by a diffusion type equation,…

Materials Science · Physics 2015-06-04 I. Santamaria-Holek , Z. J. Grzywna , J. M. Rubi

Kinetics of model catalytic processes proceeding on inhomogeneous surfaces is studied. We employ an extended mean-field model that takes into account surface inhomogeneities. The influence of surface diffusion of adsorbent on the kinetics…

Materials Science · Physics 2009-11-13 Lukasz Cwiklik

Convenient variational formula for collective diffusion of many particles adsorbed at lattices of arbitrary geometry is formulated. The approach allows to find the expressions for the diffusion coefficient for any value of the system's…

Statistical Mechanics · Physics 2018-07-04 Marcin Mińkowski , Magdalena A. Załuska--Kotur

The role of incoherent tunneling in the diffusion of light atoms on surfaces is investigated. With this purpose, a Chudley-Elliot master equation constrained to nearest neighbors is considered within the Grabert-Weiss approach to quantum…

Statistical Mechanics · Physics 2013-09-10 A. S. Sanz , R. Martinez-Casado , S. Miret-Artes

In this paper we develop a hybrid version of the encounter-based approach to diffusion-mediated absorption at a reactive surface, which takes into account stochastic switching of a diffusing particle's conformational state. For simplicity,…

Statistical Mechanics · Physics 2022-09-21 Paul C. Bressloff

Quantum diffusion is a major topic in condensed-matter physics, and the Caldeira-Leggett model has been one of the most successful approaches to study this phenomenon. Here, we generalize this model by coupling the bath to the system…

Statistical Mechanics · Physics 2024-06-05 Audrique Vertessen , Robin C. Verstraten , Cristiane Morais Smith

We analyze the collective surface diffusion coefficient, $D_c$, near a first-order phase transition at which two phases coexist and the surface coverage, $\te$, drops from one single-phase value, $\te_+$, to the other one, $\te_-$. Contrary…

Statistical Mechanics · Physics 2015-06-04 Igor Medved' , Anton Trnik

An analytical theory is presented for the damping of low-frequency adsorbate vibrations via resonant coupling to the substrate phonons. The system is treated classically, with the substrate modeled as a semi-infinite elastic continuum and…

Materials Science · Physics 2009-10-30 Steven P. Lewis , M. V. Pykhtin , E. J. Mele , Andrew M. Rappe

We study the steady state of a stochastic particle system on a two-dimensional lattice, with particle influx, diffusion and desorption, and the formation of a dimer when particles meet. Surface processes are thermally activated, with…

Statistical Mechanics · Physics 2015-05-30 A. Wolff , I. Lohmar , J. Krug , O. Biham

Here the authors provide a generalized Chudley-Elliott expression for activated atom surface diffusion which takes into account the coupling between both low-frequency vibrational motion (namely, the frustrated translational modes) and…

Statistical Mechanics · Physics 2007-05-23 R. Martinez-Casado , J. L. Vega , A. S. Sanz , S. Miret-Artes

We present a model treating the kinetics of adsorption of soluble surface-active molecules at the interface between an aqueous solution and another fluid phase. The model accounts for both the diffusive transport inside the solution and the…

Soft Condensed Matter · Physics 2007-05-23 H. Diamant , D. Andelman

One way to reduce the lattice thermal conductivity of solids is to induce additional phonon surface scattering through nanostructures. However, how phonons interact with boundaries, especially at the atomic level, is not well understood. In…

Mesoscale and Nanoscale Physics · Physics 2017-11-15 Cheng Shao , Qingyuan Rong , Ming Hu , Hua Bao
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