Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

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.
Copy to clipboard
Gleiser, Marcelo, Stephens, Michelle, & Sowinski, Damian. Configurational entropy as a lifetime predictor and pattern discriminator for oscillons. United States. https://doi.org/10.1103/PhysRevD.97.096007
Copy to clipboard
Gleiser, Marcelo, Stephens, Michelle, and Sowinski, Damian. Wed . "Configurational entropy as a lifetime predictor and pattern discriminator for oscillons". United States. https://doi.org/10.1103/PhysRevD.97.096007.
Copy to clipboard
@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 = {Wed May 16 00:00:00 EDT 2018},
month = {Wed May 16 00:00:00 EDT 2018}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.97.096007
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Citation Metrics:
Cited by: 49 works
Citation information provided by
Web of Science

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
All figures and tables (10 total)
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

I-balls
journal, May 2003

Configurational entropy of glueball states
journal, February 2017

A Mathematical Theory of Communication
journal, July 1948

An Electroweak Oscillon
journal, March 2007

Oscillon lifetime in the presence of quantum fluctuations
journal, August 2014

  • Saffin, Paul M.; Tognarelli, Paul; Tranberg, Anders
  • Journal of High Energy Physics, Vol. 2014, Issue 8
  • DOI: 10.1007/JHEP08(2014)125

Oscillons after Inflation
journal, June 2012

Q-balls
journal, December 1985

Inflaton fragmentation and oscillon formation in three dimensions
journal, December 2010

  • Amin, Mustafa A.; Easther, Richard; Finkel, Hal
  • Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 12
  • DOI: 10.1088/1475-7516/2010/12/001

Information-entropic signature of the critical point
journal, July 2015

Configurational entropy of anti-de Sitter black holes
journal, April 2017

Class of nonperturbative configurations in Abelian-Higgs models: Complexity from dynamical symmetry breaking
journal, January 2009

Unnatural oscillon lifetimes in an expanding background
journal, August 2006

Bubbling the false vacuum away
journal, January 2008

Phase transition in U(1) configuration space: Oscillons as remnants of vortex-antivortex annihilation
journal, August 2007

Information content of spontaneous symmetry breaking
journal, August 2012

Gravitational Waves from Oscillons after Inflation
journal, January 2017

Information-entropic stability bound for compact objects: Application to Q-balls and the Chandrasekhar limit of polytropes
journal, November 2013

Long-lived oscillons from asymmetric bubbles: Existence and stability
journal, October 2002

Emergence of oscillons in an expanding background
journal, April 2008

Information Dynamics at a Phase Transition
journal, March 2017

Radiation and relaxation of oscillons
journal, April 2012

Configurational entropy in brane-world models
journal, November 2015

Kink-antikink interactions in the double sine-Gordon equation
journal, March 1986

Entropic measure for localized energy configurations: Kinks, bounces, and bubbles
journal, July 2012

Oscillons: Resonant configurations during bubble collapse
journal, August 1995

Stability bounds on compact astrophysical objects from information-entropic measure
journal, August 2015

Erratum: An Electroweak Oscillon [Phys. Rev. Lett. 98 , 101801 (2007)]
journal, May 2007

Flat-top oscillons in an expanding universe
journal, April 2010

Fine structure of oscillons in the spherically symmetric φ 4 Klein-Gordon model
journal, April 2002

Nonperturbative Effects on Nucleation
journal, January 1996

On longevity of I-ball/oscillon
journal, March 2017

  • Mukaida, Kyohei; Takimoto, Masahiro; Yamada, Masaki
  • Journal of High Energy Physics, Vol. 2017, Issue 3
  • DOI: 10.1007/JHEP03(2017)122

Generation of coherent structures after cosmic inflation
journal, May 2011

Long-lived localized field configurations in small lattices: Application to oscillons
journal, July 2000

Quantum radiation of oscillons
journal, August 2010

Resonant emergence of global and local spatiotemporal order in a nonlinear field model
journal, December 2003

Transition to order after hilltop inflation
journal, March 2014

Self-gravitating oscillons and new critical behavior
journal, September 2017

On Information and Sufficiency
journal, March 1951

  • Kullback, S.; Leibler, R. A.
  • The Annals of Mathematical Statistics, Vol. 22, Issue 1
  • DOI: 10.1214/aoms/1177729694

Q-Balls
journal, June 1986

General theory of oscillon dynamics
journal, December 2009

Numerical simulation of an electroweak oscillon
journal, October 2007

Pseudostable bubbles
journal, March 1994

Long-lived time-dependent remnants during cosmological symmetry breaking: From inflation to the electroweak scale
journal, August 2010

Fate of the false vacuum. II. First quantum corrections
journal, September 1977

Oscillons and quasibreathers in the ϕ 4 Klein-Gordon model
journal, December 2006

Configurational entropy of charged AdS black holes
journal, September 2017

Fate of the false vacuum: Semiclassical theory
journal, May 1977

Gravitational waves from oscillon preheating
journal, October 2013

  • Zhou, Shuang-Yong; Copeland, Edmund J.; Easther, Richard
  • Journal of High Energy Physics, Vol. 2013, Issue 10
  • DOI: 10.1007/JHEP10(2013)026

Analytical Characterization of Oscillon Energy and Lifetime
journal, July 2008

    Sort by:
    [ × clear filter / sort ]

    Works referencing / citing this record:

    Configurational Entropy and Newton's Law in Double Sine‐Gordon Braneworlds
    journal, August 2019

    • Cruz, Wilami Teixeira da; Dantas, Davi Monteiro; Maluf, Roberto Vinhaes
    • Annalen der Physik, Vol. 531, Issue 10
    • DOI: 10.1002/andp.201900178
      Sort by:
      [ × clear filter / sort ]

      Figures / Tables found in this record:

      FIG. 1 (p. 5)figure
      FIG. 2 (p. 6)figure
      FIG. 3 (p. 6)figure
      FIG. 4 (p. 7)figure
      FIG. 5 (p. 7)figure
      FIG. 6 (p. 8)figure
      FIG. 7 (p. 9)figure
      FIG. 8 (p. 9)figure
      FIG. 10 (p. 10)figure
      FIG. 9 (p. 10)figure
        [ × clear filter / sort ]
        Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

        Similar Records in DOE PAGES and OSTI.GOV collections: