Nonexponential decay of velocity correlations in surface diffusion: The role of interactions and ordering

Loading...
Thumbnail Image
Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2000
Major/Subject
Mcode
Degree programme
Language
en
Pages
10284-10292
Series
The Journal of Chemical Physics, Volume 113, Issue 22
Abstract
We study the diffusive dynamics of adparticles in two model systems with strong interactions by considering the decay of the single-particle velocity correlation functionφ(t). In accordance with previous studies, we find φ(t) to decay nonexponentially and follow a power-law φ(t)∼t−x at intermediate times t, while at long times there is a crossover to an exponential decay. We characterize the behavior of the decay exponent x in detail in various ordered phases and in the vicinity of phase boundaries. We find that within the disordered phase, the behavior of x can be rationalized in terms of interaction effects. Namely, x is typically larger than two in cases where repulsive adparticle–adparticle interactions dominate, while attractive interactions lead to x<2. In ordered phases, our results suggest that the behavior of x is mainly governed by ordering effects that determine the local structure in which adatoms diffuse. Then the decay is characterized by 1<x<2 under conditions where diffusion is truly two-dimensional, while in phases where adatoms diffuse in a one-dimensional fashion along ideal rows of vacancies, we find a regime characterized by x<1. Also, changes in the qualitative behavior of x are closely related to phase boundaries and local ordering effects. Our studies suggest that φ(t) can be used to obtain information about the ordering of the system and about the nature of predominant interactions between adparticles. Our predictions can be tested experimentally by techniques such as scanning tunneling microscopy, in which φ(t) can be measured in terms of discrete adparticle displacements as shown in this work. Finally, our studies suggest that the decay of velocity correlations in collective diffusion follows, qualitatively, the same behavior as the decay of single-particle velocity correlations in tracer diffusion.
Description
Keywords
diffusion, correlation functions, scanning tunneling microscopy, strong interactions, surface dynamics
Other note
Citation
Vattulainen, I. & Hjelt, T. & Ala-Nissilä, Tapio & Ying, S. C. 2000. Nonexponential decay of velocity correlations in surface diffusion: The role of interactions and ordering. The Journal of Chemical Physics. Volume 113, Issue 22. P. 10284-10292. ISSN 1089-7690 (electronic). ISSN 0021-9606 (printed). DOI: 10.1063/1.1322654.