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Propagation and kinetic roughening of wave fronts in disordered lattices

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Åström, Jan
dc.contributor.author Kellomäki, Markku
dc.contributor.author Alava, Mikko J.
dc.contributor.author Timonen, Jussi
dc.date.accessioned 2015-12-02T10:03:05Z
dc.date.available 2015-12-02T10:03:05Z
dc.date.issued 1997
dc.identifier.citation 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. en
dc.identifier.issn 1539-3755 (printed)
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/18941
dc.description.abstract The 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.format.extent 6042-6049
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher American Physical Society (APS) en
dc.relation.ispartofseries Physical Review E en
dc.relation.ispartofseries Volume 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.subject.other Physics en
dc.title Propagation and kinetic roughening of wave fronts in disordered lattices en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.rights.holder American Physical Society (APS)
dc.contributor.school Perustieteiden korkeakoulu fi
dc.contributor.school School of Science en
dc.contributor.department Teknillisen fysiikan laitos fi
dc.contributor.department Department of Applied Physics en
dc.subject.keyword dynamics of a wave front propagating en
dc.subject.keyword diluted square lattices en
dc.subject.keyword elastic beams en
dc.identifier.urn URN:NBN:fi:aalto-201512025471
dc.type.dcmitype text en
dc.identifier.doi 10.1103/physreve.56.6042
dc.type.version Final published version en


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