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Critical Phenomena in Nonlinear Sigma Models | | Steven L. Liebling
; Eric W. Hirschmann
; James Isenberg
; | | Date: |
13 Nov 1999 | | Journal: | J.Math.Phys. 41 (2000) 5691-5700 | | Subject: | Mathematical Physics; Analysis of PDEs | math-ph gr-qc hep-ph math.AP math.MP | | Abstract: | We consider solutions to the nonlinear sigma model (wave maps) with target space S^3 and base space 3+1 Minkowski space, and we find critical behavior separating singular solutions from nonsingular solutions. For families of solutions with localized spatial support a self-similar solution is found at the boundary. For other families, we find that a static solution appears to sit at the boundary. This behavior is compared to the black hole critical phenomena found by Choptuik. | | Source: | arXiv, math-ph/9911020 | | Services: | Forum | Review | PDF | Favorites | |
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