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

Abstract

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.

Authors:
; ;
Publication Date:
Research Org.:
Dartmouth College, Hanover, NH (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1437331
Alternate Identifier(s):
OSTI ID: 1498838
Grant/Contract Number:  
SC0010386; sc0010386
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Gleiser, Marcelo, Stephens, Michelle, and Sowinski, Damian. Configurational entropy as a lifetime predictor and pattern discriminator for oscillons. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.096007.
Gleiser, Marcelo, Stephens, Michelle, & Sowinski, Damian. Configurational entropy as a lifetime predictor and pattern discriminator for oscillons. United States. doi:10.1103/PhysRevD.97.096007.
Gleiser, Marcelo, Stephens, Michelle, and Sowinski, Damian. Wed . "Configurational entropy as a lifetime predictor and pattern discriminator for oscillons". United States. doi:10.1103/PhysRevD.97.096007.
@article{osti_1437331,
title = {Configurational entropy as a lifetime predictor and pattern discriminator for oscillons},
author = {Gleiser, Marcelo and Stephens, Michelle and Sowinski, Damian},
abstractNote = {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.},
doi = {10.1103/PhysRevD.97.096007},
journal = {Physical Review D},
number = 9,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.97.096007

Citation Metrics:
Cited by: 9 works
Citation information provided by
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Figures / Tables:

FIG. 1 FIG. 1: Top: Energy Eb of bubbles evolving into oscillons as a function of time for several different asymmetries ϵ (color) and R0. For each asymmetry, the radius of the longestlived oscillon is represented, along with two nearby radii. For ϵ = 0 (symmetric potential), R0 = 3.9; 4; 4.35;more » ϵ = 0.0182, R0 = 3.75; 3.85; 4.2; ϵ = 0.0371, R0 = 3.6; 3.7; 4.05; and ϵ = 0.0512, R0 = 3.5; 3.6; 3.95. Potential asymmetry increases from blue to red; blue is the degenerate case. Bottom: Lifetime τ as a function of R0 for different asymmetries. Color convention for ϵ is consistent throughout the paper.« less

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    Works referencing / citing this record:

    Resonant configurations in scalar field theories: Can some oscillons live forever?
    journal, December 2019


      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.