Self-similarity for V-shaped field potentials - further examples

H. Arodź*, P. Klimas, T. Tyranowski

*Corresponding author for this work

Research output: Working paperPreprintAcademic

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Abstract

Three new models with V-shaped field potentials U are considered: a complex scalar field X in 1 + 1 dimensions with U(X) = \X\, a real scalar field Φ in 2+1 dimensions with U(Φ) = |Φ|, and a real scalar field φ in 1 + 1 dimensions with U(φ) = φ⊖(φ) where ⊖ is the step function. Several explicit, self-similar solutions are found. They describe interesting dynamical processes, for example, "freezing" a string in a static configuration.

Original languageEnglish
PublisherArXiv.org
Number of pages17
DOIs
Publication statusPublished - 14 May 2007
Externally publishedYes

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