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

H. Arodź; P. Klimas; T. Tyranowski

doi:10.48550/arXiv.0705.1908

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

H. Arodź^*, P. Klimas, T. Tyranowski

^*Corresponding author for this work

Research output: Working paper › Preprint › Academic

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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 language	English
Publisher	ArXiv.org
Number of pages	17
DOIs	https://doi.org/10.48550/arXiv.0705.1908
Publication status	Published - 14 May 2007
Externally published	Yes

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Self-similarity for V-shaped field potentials - Further examples
Arodź, H., Klimas, P. & Tyranowski, T., Aug 2007, In: Acta Physica Polonica B. 38, 8, p. 2537-2551 15 p.
Research output: Contribution to journal › Article › Academic › peer-review

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N2 - 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.

AB - 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.

U2 - 10.48550/arXiv.0705.1908

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M3 - Preprint

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

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

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

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