Solitons in Chemical Physics

Collins, Michael A.

doi:10.1002/9780470142776.ch3

Cited by 46 publications

(1 citation statement)

References 175 publications

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“…In biology, discrete nonlinear models have been used to describe the contraction of proteins [8,9], and more recently the localization and transport of vibrational energy in different systems including DNA molecules [10]. Nonlinear localization phenomena have been also predicted in atomic lattices [11,12] and molecular chains [13]. In 2001, Abdullaev et.…”

Section: The First Study Of Discrete Dynamical Systems Dates Back To mentioning

confidence: 99%

Discrete surface solitons

et al. 2005

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Section: The First Study Of Discrete Dynamical Systems Dates Back To mentioning

confidence: 99%

Discrete surface solitons

et al. 2005

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Transport Properties and Soliton Models of Polyacetylene

Andretta¹,

Serra²,

Zanarini

et al. 1985

Advances in Chemical Physics

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Nonlinear dynamics and the problem of polymer fracture

Manevitch¹,

Zarkhin²,

Enikolopian³

1990

J of Applied Polymer Sci

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SynopsisThe results of the experimental and molecular-dynamics study of the process of mechanical degradation of polymer chain, testifying to the essential role of nonthermal channels of dissipation of elastic energy accumulated during deformation, have been discussed. High-energy molecular products of mechanical degradation, which are able to induce a chain branching process leading to "explosive" formation of submicrocracks, have been discovered. It has been noted that a considerable part of polymer chain energy is concentrated in localized excitations of a soliton type, which play the determining role at all the stages of mechanical degradation under consideration.Deformation and fracture of polymers as well as of other solids are accompanied by complex and little-studied physicochemical processes. One may assume that, a t the stage going immediately after the first act of macromolecule breaking, the elastic energy stored in the macromolecule during its stretching dissipates in the following way:-It leads to electronic excitation and ionization and is carried away by electrons, photons, and ions. -It is spent on the fragmentation of chains and transforms into translational, rotatory, and vibratory energy of molecular products of mechanical degradation.--It transforms into heat including infrared (IR) radiation.Ultimately, the energy of molecular products of mechanical degradation, electrons, ions, and photons also transforms into heat. This may lead to additional IR radiation, thermal degradation, and plastic flow.Theoretical interpretation of mechanical degradation is based on a model of thermal fluctuations,' which takes into account only thermal processes. These characteristic times of elastic energy thermalization are practically assumed to be small so that direct influence of nonthermal effects on mechanical degradation can be neglected. Both experimental data and the results of computer simulation of mechanical degradation of polymer chain by the method of molecular dynamics are discussed in terms of thermal fluctuations.2 At the present time the consistent molecular theory of mechanical degradation has not been available.Two principal questions arise in connection with the development of such a theory. Speaking about thermal fluctuations in solids, one usually bears in mind phonons, which are determined in a harmonic approximation and

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Solitons in Chemical Physics

Cited by 46 publications

References 175 publications

Discrete surface solitons

Discrete surface solitons

Transport Properties and Soliton Models of Polyacetylene

Nonlinear dynamics and the problem of polymer fracture

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