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- W2048764120 abstract "Numerical solutions to the nonlinear sigma model, a wave map from $3+1$ Minkowski space to ${S}^{3},$ are computed in three spatial dimensions using adaptive mesh refinement. For initial data with compact support the model is known to have two regimes: one in which regular initial data forms a singularity and another in which the energy is dispersed to infinity. The transition between these regimes has been shown in spherical symmetry to demonstrate threshold behavior similar to that between black hole formation and dispersal in gravitating theories. Here, I generalize the result by removing the assumption of spherical symmetry. The evolutions suggest that the spherically symmetric critical solution remains an intermediate attractor separating the two end states." @default.
- W2048764120 created "2016-06-24" @default.
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- W2048764120 date "2002-08-16" @default.
- W2048764120 modified "2023-10-18" @default.
- W2048764120 title "Singularity threshold of the nonlinear sigma model using 3D adaptive mesh refinement" @default.
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- W2048764120 doi "https://doi.org/10.1103/physrevd.66.041703" @default.
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