Exact topological twistons in crystalline polyethylene

Ventura, Elizete; Simas, Alfredo M.; Bazeia, D.

doi:10.1016/s0009-2614(00)00309-2

Cited by 23 publications

(19 citation statements)

References 20 publications

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“…All the models here introduced are also of interest to pattern formation in spatially extended, periodically forced systems, governed by the Ginzburg-Landau equation. This is a new route, different from the one proposed in [31], and further investigated in [32,33,34], which deals with solitons in ferroelectric cristals, in polyethylene, and in Langmuir films. The Ginzburg-Landau equation is appropriate for investigating fronts and interfaces, and their contributions to pattern formation.…”

Section: Discussionmentioning

confidence: 99%

“…Thus, it may be used as a new model to explore conformational properties of polyethylene (PE), as an alternative to the case investigated in Refs. [32,33]. Moreover, since its potential contains up to the fourth order power in the field, in Sec.…”

Section: B Modelmentioning

confidence: 95%

“…Besides, one knows that field theory models of scalar fields may also be used to investigate properties of quasi-linear polymeric chains, as for instance in the applications of Refs. [31,32,33,34], to describe solitary waves in ferroelectric crystals, the presence of twistons in polyethylene, and solitons in Langmuir films.…”

Section: Introductionmentioning

confidence: 99%

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Kinks and Domain Walls in Models for Real Scalar Fields

Bazeia

Inácio

Losano

2004

Int. J. Mod. Phys. A

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We investigate several models described by real scalar fields, searching for topological defects, and investigating their linear stability. We also find bosonic zero modes and examine the thermal corrections at the one-loop level. The classical investigations are of direct interest to high energy physics and to applications in condensed matter, in particular to spatially extended systems where fronts and interfaces separating different phase states may appear. The thermal investigations show that the finite temperature corrections that appear in a specific model induce a second order phase transition in the system, although the thermal effects do not suffice to fully restore the symmetry at high temperature.

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Section: Discussionmentioning

confidence: 99%

Section: B Modelmentioning

confidence: 95%

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Kinks and Domain Walls in Models for Real Scalar Fields

Bazeia

Inácio

Losano

2004

Int. J. Mod. Phys. A

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“…[25,26,32], used for modeling a great number of systems [32][33][34][35][36][37][38][39][40][41], whose superpotential is given by…”

Section: Interacting Scalar Field Model and Its Solutionsmentioning

confidence: 99%

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

2014

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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 energybased arguments are inconclusive.

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“…Work in this line has been done in several different contexts, in particular to describe defect structure in a ferroelectric crystal [42,43] and in polyethylene [44,45]. Other form of interactions can be of use to describe conductivity in Langmuir films [46].…”

Section: B Two Fieldsmentioning

confidence: 99%

Global Defects in Field Theory With Applications to Condensed Matter

Bazeia

Menezes

2005

Mod. Phys. Lett. B

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We review investigations on defects in systems described by real scalar fields in (D, 1) space-time dimensions. We first work in one spatial dimension, with models described by one and two real scalar fields, and in higher dimensions. We show that when the potential assumes specific form, there are models which support stable global defects for D arbitrary. We also show how to find first-order differential equations that solve the equations of motion, and how to solve models in D dimensions via soluble problems in D = 1. We illustrate the procedure examining specific models and showing how they may be used in applications in different contexts in condensed matter physics, and in other areas.

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Exact topological twistons in crystalline polyethylene

Cited by 23 publications

References 20 publications

Kinks and Domain Walls in Models for Real Scalar Fields

Kinks and Domain Walls in Models for Real Scalar Fields

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

Global Defects in Field Theory With Applications to Condensed Matter

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