ISSN:
1572-9613
Keywords:
Critical exponents
;
tracer diffusion in 2D
;
Monte Carlo simulation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We study the diffusion of a particle on the sites of a triangular lattice of which half the sites are occupied by a “background” of other particles. No two particles may occupy the same site. We carry out Monte Carlo simulations for the following model: At each Monte Carlo step the tracer attempts to move to a neighboring site, which it does if the site is unoccupied. At each step, each background particle attempts to desorb with probabilityγ. If a background particle desorbs, it is replaced at a randomly chosen site on the lattice. We define 〈R tr 2 (t)/t=D tr. For the caseγ=0, we calculateD 0∼t k and findk=0.71±0.01, wheret is the number of Monte Carlo steps. Whenγ⩾0, we calculateD tr ~γ − w 1 and findw ad=0.24±0.02. We compare this to the model in which the background particles are constrained to move to nearest neighbor sites and findD tr∼γ − w 1 withw 1=0.28±0.03.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01025991
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