Investigating a granular length scale using the central limit theorem

dc.contributor.advisorSwinney, H.L., 1939-en
dc.creatorSidle, Stacy Marieen
dc.date.accessioned2016-02-24T17:13:32Z
dc.date.available2016-02-24T17:13:32Z
dc.date.issued2006-12en
dc.description.abstractThis work proposes a method for determining the length scale for interaction among particles in a granular system. A two-dimensional bidisperse bed of grains is driven by pulses of air and images are taken. The location of each grain is found in every image as well as the volume of space occupied by each grain. The probability distributions of volumes of clusters of neighboring grains are examined. It is found that the cluster distributions do not scale in a way that is consistent with the Central Limit Theorem, indicating that the individual grain volumes are not independent. However, when looking at clusters of grains separated by some distance, the scaling predicted by the Central Limit Theorem is recovered. This use of the Central Limit Theorem thus yields the length scale of correlated grains.en
dc.description.departmentPhysicsen
dc.format.mediumelectronicen
dc.identifierdoi:10.15781/T26T1Ken
dc.identifier.urihttp://hdl.handle.net/2152/33390en
dc.language.isoenen
dc.relation.ispartofUT Electronic Theses and Dissertationsen
dc.rightsCopyright © is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en
dc.rights.restrictionRestricteden
dc.subjectGranular systemsen
dc.subjectParticle interactionen
dc.subjectCentral Limit Theoremen
dc.titleInvestigating a granular length scale using the central limit theoremen
dc.typeThesisen
dc.type.genreThesisen
thesis.degree.departmentPhysicsen
thesis.degree.disciplinePhysicsen
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelMastersen
thesis.degree.nameMaster of Artsen

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