Reaction-controlled diffusion: Monte Carlo simulations

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dc.contributorVirginia Techen
dc.contributor.authorReid, Beth A.en
dc.contributor.authorTäuber, Uwe C.en
dc.contributor.authorBrunson, Jason C.en
dc.contributor.departmentPhysicsen
dc.date.accessed2013-12-17en
dc.date.accessioned2014-01-17T13:41:34Zen
dc.date.available2014-01-17T13:41:34Zen
dc.date.issued2003-10en
dc.description.abstractWe study the coupled two-species nonequilibrium reaction-controlled diffusion model introduced by Trimper [Phys. Rev. E 62, 6071 (2000)] by means of detailed Monte Carlo simulations in one and two dimensions. Particles of type A may independently hop to an adjacent lattice site, provided it is occupied by at least one B particle. The B particle species undergoes diffusion-limited reactions. In an active state with nonzero, essentially homogeneous B particle saturation density, the A species displays normal diffusion. In an inactive, absorbing phase with exponentially decaying B density, the A particles become localized. In situations with algebraic decay rho(B)(t)similar tot(B)(-alpha), as occurring either at a nonequilibrium continuous phase transition separating active and absorbing states, or in a power-law inactive phase, the A particles propagate subdiffusively with mean-square displacement <(x) over right arrow (t)(A)(2)>similar tot(A)(1-alpha). We find that within the accuracy of our simulation data, alpha(A)approximate toalpha(B) as predicted by a simple mean-field approach. This remains true even in the presence of strong spatiotemporal fluctuations of the B density. However, in contrast with the mean-field results, our data yield a distinctly non-Gaussian A particle displacement distribution n(A)((x) over right arrow ,t) that obeys dynamic scaling and looks remarkably similar for the different processes investigated here. Fluctuations of effective diffusion rates cause a marked enhancement of n(A)((x) over right arrow ,t) at low displacements \x (->) over right arrow\, indicating a considerable fraction of practically localized A particles, as well as at large traversed distances.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationReid, BA ; Tauber, UC ; Brunson, JC, Oct 2003. "Reaction-controlled diffusion: Monte Carlo simulations," PHYSICAL REVIEW E 68(4) Part 2: 046121. DOI: 10.1103/PhysRevE.68.046121en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.68.046121en
dc.identifier.issn1539-3755en
dc.identifier.urihttp://hdl.handle.net/10919/24892en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevE.68.046121en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectannihilating random-walksen
dc.subjectphase-transitionsen
dc.subjectrenormalization-groupen
dc.subjectdirected percolationen
dc.subjectfield-theoryen
dc.subjectPhysicsen
dc.titleReaction-controlled diffusion: Monte Carlo simulationsen
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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