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Surface diffusion in mixed overlayers with superlattice ordering: Percolative transport around obstacles and along domain boundaries

J. Chem. Phys. 113, 10252 (2000); doi:10.1063/1.1322356

Issue Date: 8 December 2000

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Da-Jiang Liu
Ames Laboratory, Iowa State University, Ames, Iowa 50011

J. W. Evans
Ames Laboratory and Department of Mathematics, Iowa State University, Ames, Iowa 50011
To elucidate surface diffusion in the presence of a coadsorbate with superlattice ordering, we consider particle hopping on a square lattice with some fraction, thetaB, of quenched blocking sites arranged with checkerboard or c(2×2) ordering. Behavior for low thetaB corresponds to diffusion around isolated obstacles, and can be described by exact density expansions. Behavior for high thetaB corresponds to percolative diffusion along (or sometimes away from) domain boundaries. The connectivity of these domain boundaries is closely related to the existence of symmetry breaking [i.e., long-range c(2×2) order] in the distribution of blocking sites. In some cases, symmetry breaking induces critical behavior for diffusive transport which is fundamentally different from that for the conventional "ant in the labyrinth" problem. Our results apply to recently developed models for CO oxidation, where CO(ads) diffuses rapidly through coadsorbed relatively immobile c(2×2)-O(ads). The characterization of CO diffusion in these systems is key to describing spatial pattern formation. ©2000 American Institute of Physics.
History: Received 19 April 2000; accepted 12 September 2000
Permalink: http://link.aip.org/link/?JCPSA6/113/10252/1
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KEYWORDS and PACS

Keywords
PACS
  • 68.35.Fx
    Surfaces and interfaces; thin films and whiskers (structure and nonelectronic properties) Solid surfaces and solid–solid interfaces Diffusion; interface formation
  • 64.60.Ak
    Equations of state, phase equilibria, and phase transitions General studies of phase transitions Renormalization-group, fractal, and percolation studies of phase transitions
  • 68.65.+g
    Surfaces and interfaces; thin films and whiskers (structure and nonelectronic properties) Low-dimensional structures (superlattices, quantum well structures, multilayers): structure, and nonelectronic properties
  • YEAR: 2000

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PUBLICATION DATA

ISSN:
0021-9606 (print)   1089-7690 (online)
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