Propagation and kinetic roughening of wave fronts in disordered lattices

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorÅström, Jan
dc.contributor.authorKellomäki, Markku
dc.contributor.authorAlava, Mikko J.
dc.contributor.authorTimonen, Jussi
dc.contributor.departmentTeknillisen fysiikan laitosfi
dc.contributor.departmentDepartment of Applied Physicsen
dc.contributor.schoolPerustieteiden korkeakoulufi
dc.contributor.schoolSchool of Scienceen
dc.date.accessioned2015-12-02T10:03:05Z
dc.date.available2015-12-02T10:03:05Z
dc.date.issued1997
dc.description.abstractThe dynamics of a wave front propagating in diluted square lattices of elastic beams is analyzed. We concentrate on the propagation of the first maximum of a semi-infinite wave train. Two different limits are found for the velocity depending on the bending stiffness of the beams. If it vanishes, a one-dimensional chain model is derived for the velocity and the amplitude is found to decrease exponentially. The first maximum is localized and the average width of the wave front is always finite. For very stiff beams an effective-medium model gives the correct velocity and the amplitude of the first maximum decays according to a power law. No localization of the first maximum is observed in the simulations. In this limit scaling arguments based on Huygen’s principle suggest a growth exponent of 1/2, and a roughness exponent of 2/3. The growth exponent fits the simulation data well, but a considerably lower roughness exponent (0.5) is obtained. There is a crossover region for the bending stiffness, wherein the wave-front behavior cannot be explained by these limiting cases.en
dc.description.versionPeer revieweden
dc.format.extent6042-6049
dc.format.mimetypeapplication/pdfen
dc.identifier.citationÅström, Jan & Kellomäki, Markku & Alava, Mikko J. & Timonen, Jussi. 1997. Propagation and kinetic roughening of wave fronts in disordered lattices. Physical Review E. Volume 56, Issue 5. 6042-6049. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.56.6042.en
dc.identifier.doi10.1103/physreve.56.6042
dc.identifier.issn1539-3755 (printed)
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/18941
dc.identifier.urnURN:NBN:fi:aalto-201512025471
dc.language.isoenen
dc.publisherAmerican Physical Society (APS)en
dc.relation.ispartofseriesPhysical Review Een
dc.relation.ispartofseriesVolume 56, Issue 5
dc.rights© 1997 American Physical Society (APS). This is the accepted version of the following article: Åström, Jan & Kellomäki, Markku & Alava, Mikko J. & Timonen, Jussi. 1997. Propagation and kinetic roughening of wave fronts in disordered lattices. Physical Review E. Volume 56, Issue 5. 6042-6049. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.56.6042, which has been published in final form at http://journals.aps.org/pre/abstract/10.1103/PhysRevE.56.6042.en
dc.rights.holderAmerican Physical Society (APS)
dc.subject.keyworddynamics of a wave front propagatingen
dc.subject.keyworddiluted square latticesen
dc.subject.keywordelastic beamsen
dc.subject.otherPhysicsen
dc.titlePropagation and kinetic roughening of wave fronts in disordered latticesen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.dcmitypetexten
dc.type.versionFinal published versionen
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