skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Information-entropic measure of energy-degenerate kinks in two-field models

Abstract

Here, we investigate the existence and properties of kink-like solitons in a class of models with two interacting scalar fields. In particular, we focus on models that display both double and single-kink solutions, treatable analytically using the Bogomol'nyi–Prasad–Sommerfield bound (BPS). Such models are of interest in applications that include Skyrmions and various superstring-motivated theories. Exploring a region of parameter space where the energy for very different spatially-bound configurations is degenerate, we show that a newly-proposed momentum–space entropic measure called Configurational Entropy (CE) can distinguish between such energy-degenerate spatial profiles. This information-theoretic measure of spatial complexity provides a complementary perspective to situations where strictly energy-based arguments are inconclusive.

Authors:
 [1];  [2]; ORCiD logo [3]
  1. UNSEP - Campus de Guaratingueta, Guaratingueta, SP (Brazil); Dartmouth College, Hanover, NH (United States)
  2. UNSEP - Campus de Guaratingueta, Guaratingueta, SP (Brazil)
  3. Dartmouth College, Hanover, NH (United States)
Publication Date:
Research Org.:
Dartmouth College, Hanover, NH (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1209728
Alternate Identifier(s):
OSTI ID: 1457032
Grant/Contract Number:  
SC0010386
Resource Type:
Journal Article: Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 737; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Entropy; Nonlinear; Bloch walls; Kinks; Lumps

Citation Formats

Correa, R. A. C., de Souza Dutra, A., and Gleiser, M. Information-entropic measure of energy-degenerate kinks in two-field models. United States: N. p., 2014. Web. doi:10.1016/j.physletb.2014.09.002.
Correa, R. A. C., de Souza Dutra, A., & Gleiser, M. Information-entropic measure of energy-degenerate kinks in two-field models. United States. doi:10.1016/j.physletb.2014.09.002.
Correa, R. A. C., de Souza Dutra, A., and Gleiser, M. Tue . "Information-entropic measure of energy-degenerate kinks in two-field models". United States. doi:10.1016/j.physletb.2014.09.002.
@article{osti_1209728,
title = {Information-entropic measure of energy-degenerate kinks in two-field models},
author = {Correa, R. A. C. and de Souza Dutra, A. and Gleiser, M.},
abstractNote = {Here, we investigate the existence and properties of kink-like solitons in a class of models with two interacting scalar fields. In particular, we focus on models that display both double and single-kink solutions, treatable analytically using the Bogomol'nyi–Prasad–Sommerfield bound (BPS). Such models are of interest in applications that include Skyrmions and various superstring-motivated theories. Exploring a region of parameter space where the energy for very different spatially-bound configurations is degenerate, we show that a newly-proposed momentum–space entropic measure called Configurational Entropy (CE) can distinguish between such energy-degenerate spatial profiles. This information-theoretic measure of spatial complexity provides a complementary perspective to situations where strictly energy-based arguments are inconclusive.},
doi = {10.1016/j.physletb.2014.09.002},
journal = {Physics Letters. Section B},
issn = {0370-2693},
number = C,
volume = 737,
place = {United States},
year = {2014},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.physletb.2014.09.002

Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

Figures / Tables:

Fig. 1 Fig. 1: Orbit for the solutions and vacuum states of the potential. The plots on the top of the figure show the degenerate solutions and the bottom ones show the critical solutions.

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