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arXiv · hep-th/0511022

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

H. Arodz·P. Klimas·T. Tyranowski
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Abstract

We 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.

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H. Arodz, P. Klimas, T. Tyranowski. 2006-02-03. Scaling, self-similar solutions and shock waves for V-shaped field potentials. https://doi.org/10.1103/physreve.73.046609

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