Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1994 · 276 citations · 14 references
Natural SciencesPhysicsCondensed Matter PhysicsDynamical SystemsFluid DynamicsBifurcation TheoryBubble DynamicsCritical PhenomenaDissipative SystemsStability TheorySymmetry BreakingBubble FormationDynamic Critical PhenomenaTime Scales
The evolution of spherically symmetric unstable scalar field configurations ("bubbles") is examined for both symmetric and asymmetric double-well potentials. Bubbles with initial static energies ${E}_{0}\ensuremath{\lesssim}{E}_{\mathrm{crit}}$, where ${E}_{\mathrm{crit}}$ is some critical value, shrink in a time scale determined by their linear dimension or "radius." Bubbles with ${E}_{0}\ensuremath{\gtrsim}{E}_{\mathrm{crit}}$ evolve into time-dependent, localized configurations which are very long-lived compared to characteristic time scales in the models examined. The stability of these configurations is investigated and possible applications are briefly discussed.
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<i>Numerical Recipes, The Art of Scientific Computing</i>
William H. Press, Brian P. Flannery, Saul A. Teukolsky et al. · American Journal of Physics · 1987 · 10.1K citations
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Dynamics of classical solitons (in non-integrable systems)
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