Configurational entropy as a lifetime predictor and pattern discriminator for oscillons

Gleiser, Marcelo; Stephens, Michelle; Sowinski, Damian

doi:10.1103/PhysRevD.97.096007

Title: Configurational entropy as a lifetime predictor and pattern discriminator for oscillons

Journal Article · Wed May 16 00:00:00 EDT 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.97.096007· OSTI ID:1437331

Gleiser, Marcelo; Stephens, Michelle; Sowinski, Damian

Oscillons are long-lived, spherically symmetric, attractor scalar field configurations that emerge as certain field configurations evolve in time. It has been known for many years that there is a direct correlation between the initial configuration’s shape and the resulting oscillon lifetime: a shape memory. In this paper, we use an information-entropic measure of spatial complexity known as differential configurational entropy (DCE) to obtain estimates of oscillon lifetimes in scalar field theories with symmetric and asymmetric double-well potentials. The time-dependent DCE is built from the Fourier transform of the two-point correlation function of the energy density of the scalar field configuration. We obtain a scaling law correlating oscillon lifetimes and measures obtained from its evolving DCE. For the symmetric double well, for example, we show that we can apply DCE to predict an oscillon’s lifetime with an average accuracy of 6% or better. We also show that the DCE acts as a pattern discriminator, able to distinguish initial configurations that evolve into long-lived oscillons from other nonperturbative short-lived fluctuations.

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Research Organization:: Dartmouth College, Hanover, NH (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0010386; sc0010386

OSTI ID:: 1437331

Alternate ID(s):: OSTI ID: 1498838

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 97 Journal Issue: 9; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 49 works

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