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Statistical properties of the distance between a trapping center and a uniform density of diffusing particles in two dimensions
dc.contributor.authorHavlin, Shlomoen_US
dc.contributor.authorLarralde, H.en_US
dc.contributor.authorKopelman, Raoulen_US
dc.contributor.authorWeiss, George H.en_US
dc.date.accessioned2006-04-10T13:32:51Z
dc.date.available2006-04-10T13:32:51Z
dc.date.issued1990-12-01en_US
dc.identifier.citationHavlin, S., Larralde, H., Kopelman, R., Weiss, G. H. (1990/12/01)."Statistical properties of the distance between a trapping center and a uniform density of diffusing particles in two dimensions." Physica A: Statistical and Theoretical Physics 169(3): 337-341. <http://hdl.handle.net/2027.42/28290>en_US
dc.identifier.urihttp://www.sciencedirect.com/science/article/B6TVG-46CCB1K-43/2/9bfcd43c30bbc353633adec44fb86b4aen_US
dc.identifier.urihttps://hdl.handle.net/2027.42/28290
dc.description.abstractSeveral analyses of self-segregation properties of reaction-diffusion systems in low dimensions have been based on a simplified model in which an initially uniform concentration of point particles is depleted by reaction with an immobilized trap. A measure of self-segregation in this system is the distance of the trap from the nearest untrapped particle. In one dimension the average of this distance has been shown to increase at a rate proportional to t1/4. We show that this rate in a two-dimensional system is asymptotically proportional to (In t)1/2, and that the concentration profile in the neighborhood of the trap is proportional to (ln r/ln t).en_US
dc.format.extent201442 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherElsevieren_US
dc.titleStatistical properties of the distance between a trapping center and a uniform density of diffusing particles in two dimensionsen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Chemistry, University of Michigan, Ann Arbor, MI 48109, USAen_US
dc.contributor.affiliationotherPhysical Sciences Laboratory, National Institutes of Health, Bethesda, MD 20892, USAen_US
dc.contributor.affiliationotherDepartment of Physics, Boston University, Boston, MA 02215, USAen_US
dc.contributor.affiliationotherPhysical Sciences Laboratory, National Institutes of Health, Bethesda, MD 20892, USAen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/28290/1/0000043.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1016/0378-4371(90)90105-2en_US
dc.identifier.sourcePhysica A: Statistical and Theoretical Physicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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