Ultradiscrete kinks with supersonic speed in a layered crystal with realistic potentials

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
J F R ArchillaL M García-Raffi

Abstract

In this paper we develop a dynamical model of the propagating nonlinear localized excitations, supersonic kinks, in the cation layer in a silicate mica crystal. We start from purely electrostatic Coulomb interaction and add the Ziegler-Biersack-Littmark short-range repulsive potential and the periodic potential produced by other atoms of the lattice. The proposed approach allows the construction of supersonic kinks which can propagate in the lattice within a large range of energies and velocities. Due to the presence of the short-range repulsive component in the potential, the interparticle distances in the lattice kinks with high energy are limited by physically reasonable values. The introduction of the periodic lattice potential results in the important feature that the kinks propagate with the single velocity and single energy, which are independent on the excitation conditions. The unique average velocity of the supersonic kinks on the periodic substrate potential we relate with the kink amplitude of the relative particle displacements, which is determined by the interatomic distance corresponding to the minimum of the total, interparticle plus substrate, lattice potential. The found kinks are ultradiscrete and can be desc...Continue Reading

References

Oct 1, 1990·Physical Review. B, Condensed Matter·A Milchev
May 1, 1994·Physical Review. B, Condensed Matter·A MeftahM Toulemonde
Sep 27, 1993·Physical Review Letters·Y A Kosevich
May 22, 1995·Physical Review Letters·D P Snowden-IfftP B Price
Nov 28, 2006·The Journal of Physical Chemistry. B·J F R ArchillaJ M Trillo
Dec 15, 2010·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Marcel G ClercRené G Rojas
May 24, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V I DubinkoJ F R Archilla
Feb 7, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P C Matthews, H Susanto
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexander V Savin, Yuriy A Kosevich

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Citations

Feb 17, 2018·Physical Review. E·Yi MingZe-Jun Ding
Jan 20, 2018·Physical Review. E·A MehremV J Sánchez-Morcillo
Sep 27, 2018·Physical Review. E·A Moradi MarjanehS V Dmitriev
Sep 6, 2018·Chaos·Juan F R ArchillaYusuke Doi

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