Nonlinear second sound in solids

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dc.contributorVirginia Techen
dc.contributor.authorTarkenton, G. M.en
dc.contributor.authorCramer, Mark S.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2014-04-23en
dc.date.accessioned2014-05-07T15:37:02Zen
dc.date.available2014-05-07T15:37:02Zen
dc.date.issued1994-05-01en
dc.description.abstractWe study the nonlinear propagation of thermal waves in rigid heat conductors using a model introduced by Ruggeri et al. We derive the lowest-order nonlinear corrections to the wave speed and show that the quadratic nonlinearity can be small for NaF and Bi. The smallness of the nonlinear steepening parameter complicates the wave dynamics, allowing for both forward and backward steepening waves within the same pulse. We show that this mixed condition places limits on the size of admissible discontinuities; we then argue that this limit on the size of shock waves limits the arrival times of thermal signals. Using this, we propose an experiment to measure arrival times to look for this limiting behavior.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationTarkenton, G. M.; Cramer, M. S., "Nonlinear second sound in solids," Phys. Rev. B 49, 11794 DOI: http://dx.doi.org/10.1103/PhysRevB.49.11794en
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.49.11794en
dc.identifier.issn0163-1829en
dc.identifier.urihttp://hdl.handle.net/10919/47868en
dc.identifier.urlhttp://journals.aps.org/prb/abstract/10.1103/PhysRevB.49.11794en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject2nd-sound shock-wavesen
dc.subjectMixed nonlinearityen
dc.subjectSuperfluid-heliumen
dc.subjectNAFen
dc.subjectEquationsen
dc.subjectPhysicsen
dc.subjectCondensed matteren
dc.titleNonlinear second sound in solidsen
dc.title.serialPhysical Review Ben
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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