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Energy Gain by Discrete Particle Non-linear Lattice Excitations

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Localized Excitations in Nonlinear Complex Systems

Part of the book series: Nonlinear Systems and Complexity ((NSCH,volume 7))

Abstract

Evidence is given for the existence of discrete particle nonlinear lattice kink-pulses in crystals of the layered mineral muscovite. The kink-pulses, created in atomic cascades caused by nuclear scattering of high energy muons, propagate and are recorded in mono-atomic sheets of potassium in muscovite. The recording process involves exothermic precipitation of impurity atoms of iron on the paths of kinks. The lateral stability of multiple kink pulses was explored numerically in 2D arrays and by study of quasi-2D slices through molecular dynamics simulations of atomic cascades in non-layered single crystals leading to a description of atomic cascades in muscovite. Such cascades were identified in mica but their range was orders of magnitude larger than predicted. This discrepancy was resolved by showing that kink pulses gain energy from the exothermic precipitation of impurity when recording the paths of kink-pulses. It is suggested that in heavily irradiated metal crystals kink-pulses might persist over long ranges by gaining energy from interstitials created by irradiation. A test of this prediction would be if the range of so-called long-range-effects in irradiated metals increased with the magnitude of radiation damage. It is proposed that multiple kink-pulses can sweep forward crystal defects. The MD simulations gave no evidence for creation of breathers in cascades in non-layered crystals.

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Notes

  1. 1.

    An interesting introduction to solid state transitions is that by Polanyi [20].

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Acknowledgements

It is a pleasure to acknowledge the essential help given by A P Chetverikov in connection with the lateral instability of solitons in 2D arrays. I wish to thank K. Nordlund for supplying data on MD studies of cascades and J. F. R. Archilla and J. C. Eilbeck for very helpful discussions. Finally, I also wish to thank J. F. R. Archilla for essential help and guidance in related technical matters.

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Authors and Affiliations

  1. Heriot-Watt University, EH14 4AS, Edinburgh, UK

    F. M. Russell

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Correspondence to F. M. Russell .

Editor information

Editors and Affiliations

  1. Dept. of Mathematics and Statistics, San Diego State University, San Diego, California, USA

    Ricardo Carretero-González

  2. Dept. de Física Aplicada I, Escuela Politécnica Superior, University of Sevilla, Sevilla, Spain

    Jesús Cuevas-Maraver

  3. Dept. of Physics, University of Athens, Athens, Greece

    Dimitri Frantzeskakis

  4. Dept. of Mathematics, University of the Aegean, Samos, Greece

    Nikos Karachalios

  5. Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts, USA

    Panayotis Kevrekidis

  6. Dept. de Física Aplicada I, E.T.S.I. Informática, University of Sevilla, Sevilla, Spain

    Faustino Palmero-Acebedo

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Russell, F.M. (2014). Energy Gain by Discrete Particle Non-linear Lattice Excitations. In: Carretero-González, R., Cuevas-Maraver, J., Frantzeskakis, D., Karachalios, N., Kevrekidis, P., Palmero-Acebedo, F. (eds) Localized Excitations in Nonlinear Complex Systems. Nonlinear Systems and Complexity, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-319-02057-0_15

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  • DOI: https://doi.org/10.1007/978-3-319-02057-0_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-02056-3

  • Online ISBN: 978-3-319-02057-0

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