Propagation of a Solitary Fission Wave

dc.contributor.utaustinauthorOsborne, A. G.en_US
dc.contributor.utaustinauthorRecktenwald, G. D.en_US
dc.contributor.utaustinauthorDeinert, M. R.en_US
dc.contributor.utaustinauthorOsborne, A. G.en
dc.contributor.utaustinauthorRecktenwald, G. D.en
dc.contributor.utaustinauthorDeinert, M. R.en
dc.creatorOsborne, A. G.en_US
dc.creatorRecktenwald, G. D.en_US
dc.creatorDeinert, M. R.en_US
dc.date.accessioned2016-10-28T19:52:11Z
dc.date.available2016-10-28T19:52:11Z
dc.date.issued2012-06en_US
dc.description.abstractReaction-diffusion phenomena are encountered in an astonishing array of natural systems. Under the right conditions, self stabilizing reaction waves can arise that will propagate at constant velocity. Numerical studies have shown that fission waves of this type are also possible and that they exhibit soliton like properties. Here, we derive the conditions required for a solitary fission wave to propagate at constant velocity. The results place strict conditions on the shapes of the flux, diffusive, and reactive profiles that would be required for such a phenomenon to persist, and this condition would apply to other reaction diffusion phenomena as well. Numerical simulations are used to confirm the results and show that solitary fission waves fall into a bistable class of reaction diffusion phenomena. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4729927]en_US
dc.description.departmentMechanical Engineeringen_US
dc.description.sponsorshipUnited States Nuclear Regulatory Commission NRC-38-08-946en_US
dc.identifierdoi:10.15781/T2FT8DN2V
dc.identifier.citationOsborne, A. G., G. D. Recktenwald, and M. R. Deinert. "Propagation of a solitary fission wave." Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 22, No. 2 (Jun., 2012): 023148.en_US
dc.identifier.doi10.1063/1.4729927en_US
dc.identifier.issn1054-1500en_US
dc.identifier.urihttp://hdl.handle.net/2152/43281
dc.language.isoEnglishen_US
dc.relation.ispartofen_US
dc.relation.ispartofserialChaosen_US
dc.rightsAdministrative deposit of works to Texas ScholarWorks: This works author(s) is or was a University faculty member, student or staff member; this article is already available through open access or the publisher allows a PDF version of the article to be freely posted online. The library makes the deposit as a matter of fair use (for scholarly, educational, and research purposes), and to preserve the work and further secure public access to the works of the University.en_US
dc.rights.restrictionOpenen_US
dc.subjectburn-up wavesen_US
dc.subjectreaction-diffusionen_US
dc.subjectfast-reactoren_US
dc.subjectregimeen_US
dc.subjectflowen_US
dc.subjectmathematics, applieden_US
dc.subjectphysics, mathematicalen_US
dc.titlePropagation of a Solitary Fission Waveen_US
dc.typeArticleen_US

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