Scaling, self-similar solutions and shock waves for V-shaped field potentials

dc.creatorArodz, H.
dc.creatorKlimas, P.
dc.creatorTyranowski, T.
dc.date2005-11-02
dc.date2006-02-03
dc.date.accessioned2026-07-07T11:59:22Z
dc.date.available2026-07-07T11:59:22Z
dc.descriptionWe investigate a (1+1)-dimensional nonlinear field theoretic model with the field potential $V(ϕ)| = |ϕ|.$ It can be obtained as the universal small amplitude limit in a class of models with potentials which are symmetrically V-shaped at their minima, or as a continuum limit of certain mechanical system with infinite number of degrees of freedom. The model has an interesting scaling symmetry of the 'on shell' type. We find self-similar as well as shock wave solutions of the field equation in that model.
dc.descriptionTwo comments and one reference added
dc.identifierhttps://arxiv.org/abs/hep-th/0511022
dc.identifierhttp://arxiv.org/abs/hep-th/0511022
dc.identifierPhys.Rev.E73:046609,2006
dc.identifierdoi:10.1103/PhysRevE.73.046609
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206535
dc.subjectHigh Energy Physics - Theory
dc.subjectOther Condensed Matter
dc.subjectPattern Formation and Solitons
dc.titleScaling, self-similar solutions and shock waves for V-shaped field potentials
dc.typetext

Files

Collections