Moving Excitations in Cation Lattices

Archilla, Juan F. R.; Kosevich, Yuriy A.; Jiménez, Noé; Sánchez‐Morcillo, Víctor J.; Garsía-Raffi, L.M.

doi:10.15407/ujpe58.07.0646

Cited by 16 publications

(17 citation statements)

References 31 publications

(33 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The other natural units are the potassium mass m K = 39.1 amu and therefore the derived unit of time τ = m K a 3 /K e e 2 = 0.1984 ps 0.2 ps. This system supports propagating kinks of almost any velocity and energy [1][2][3] but with very small inter-particle distances for which the ions cannot be described as point particles. The second term for short-range repulsion is the Ziegler-BiersackLittmark or ZBL potential, which corresponds to the electrostatic interaction between nuclei partially shielded by the electron cloud which is described by an universal function that has been tested with experiments of ion bombardment [36].…”

Section: Description Of the Systemmentioning

confidence: 81%

“…3.2. As explained with more detail in [1][2][3] we consider an 1D model for a row of K + ions. The distance between ions is a = 5.19 Å which in scaled units will be taken as the unit of distance.…”

Section: Description Of the Systemmentioning

confidence: 99%

“…Recently, a model with realistic potentials for the dynamics of potassium ions within the cation layer of mica muscovite has been introduced [1][2][3]. The authors have considered the available potentials for the interaction between atoms and ions.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Supersonic Crowdion in Mica

et al. 2015

View full text Add to dashboard Cite

In this chapter we analyze in detail the behaviour and properties of the kinks found in an one dimensional model for the close packed rows of potassium ions in mica muscovite. The model includes realistic potentials obtained from the physics of the problem, ion bombardment experiments and molecular dynamics fitted to experiments. These kinks are supersonic and have an unique velocity and energy. They are ultradiscrete involving the translation of an interstitial ion, which is the reason they are called crowdions. Their energy is below the most probable source of energy, the decay of the 40 K isotope and above the energy needed to eject an atom from the mineral, a phenomenon that has been observed experimentally.

show abstract

Section: Description Of the Systemmentioning

confidence: 81%

Section: Description Of the Systemmentioning

confidence: 99%

See 1 more Smart Citation

A Supersonic Crowdion in Mica

et al. 2015

View full text Add to dashboard Cite

show abstract

“…The modeling of the system has followed the process of increasing complexity for better understanding which effect is responsible for which characteristic of the model. In the starting model used in preliminary publications [21,22], only K + ions with nearest-neighbor Coulomb repulsion were taken into account, for which we have found that very fast supersonic kinks can propagate. They are extremely localized, with only two particles or, for higher energies, only a single particle in motion at the same time.…”

Section: Discussionmentioning

confidence: 99%

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

et al. 2015

Self Cite

View full text Add to dashboard Cite

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 described with the "magic wave number" q = 2π/3a, which was previously revealed in the nonlinear sinusoidal waves and supersonic kinks in the Fermi-Pasta-Ulam lattice. The extreme discreteness of the observed supersonic kinks, with basically two particles moving at the same time, allows the detailed interpretation of their double-kink structure, which is not possible for the multikinks without an account for the lattice discreteness. Analytical calculations of the displacement patterns and energies of the supersonic kinks are confirmed by numerical simulations. The computed energy of the found supersonic kinks in the considered realistic lattice potential is in a good agreement with the experimental evidence for the transport of localized energetic excitations in silicate mica crystals between the points of 40 K recoil and subsequent sputtering.

show abstract

“…al [93]. They used the Rotating Wave Approximation (RWA) to obtain the relation between the kink velocity V and the excitation amplitude u 0 .…”

Section: Kink Velocitymentioning

confidence: 99%

Nonlinear acoustics in periodic media: from fundamental effects to applications

Mehrem¹

View full text Add to dashboard Cite

Moving Excitations in Cation Lattices

Cited by 16 publications

References 31 publications

A Supersonic Crowdion in Mica

A Supersonic Crowdion in Mica

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

Nonlinear acoustics in periodic media: from fundamental effects to applications

Contact Info

Product

Resources

About