Information-Entropic Measure of Energy-Degenerate Kinks in Two-Field Models

Abstract

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.

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• Information-Entropic for Travelling Solitons in Lorentz and CPT Breaking Systems
• Configurational Entropy for Skyrmion-like Magnetic Structures
• Shape Is Destiny II: Configurational Information Approach to Instantons and False Vacuum Decay in D-dimensional Spacetime
• Information-entropic analysis of Korteweg--de Vries solitons in the quark-gluon plasma
• Kink-Antikink Collisions in the Periodic ${\phi }^4$ Model
• Information content in $F(R)$ brane models with non-constant curvature
• Information Dynamics at a Phase Transition
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• Phase transitions in thick branes endorsed by entropic information
• Configurational Entropic Study of the Enhanced Longevity in Resonant Oscillons
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• Perturbatively deformed defects in Pöschl-Teller-driven scenarios for quantum mechanics
• Novel results for kinklike structures and their connections to quantum mechanics
• Cosmological scenarios from multiquintessence
• Configurational Entropy of Optical Bright Similariton in Tapered Graded-Index Waveguide
• Refinements of the Weyl pure geometrical thick branes from information-entropic measure
• Creating Oscillons and Oscillating Kinks in Two Scalar Field Theories
• Analyzing lump-type solutions in scalar field models through configurational information measure