Configurational Entropic Study of the Enhanced Longevity in Resonant Oscillons

Abstract

We use an information-theoretic measure of shape complexity known as configurational entropy (CE) to investigate numerically the remarkably long lifetimes of spherically-symmetric ``resonant oscillons'' in three-dimensional and of azimuthally-symmetric oscillons in two-dimensional relativistic scalar field theories, which have been conjectured to be infinite. In 3d, we obtain a power law relating a stability measure derived from CE to the oscillons' lifetimes that, upon extrapolation to large times, offers support to this conjecture. In 2d, we obtain a three-way relation between the oscillons' energies, a CE-derived measure of their stability, and their radiation rates to support the conjecture that they asymptotically tend toward a classically-stable attractor solution.

9 pages, 9 figures

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Cited by in corpus (8)

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• Configurational entropy of generalized sine-Gordon-type models
• Mock-integrability and stable solitary vortices
• Configuration entropy of ${\rm Y}(1S)$ state in strong coupling plasma
• Quest for eternal oscillons