Supertransmission channel for an intrinsic localized mode in a one-dimensional nonlinear physical lattice

Satō, Masayuki; Nakaguchi, T.; Ishikawa, Tomoyoshi; Shige, S.; Soga, Yukihiro; Doi, Yusuke; Sievers, A. J.

doi:10.1063/1.4933329

Cited by 11 publications

(8 citation statements)

References 43 publications

(48 reference statements)

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“…We also note that random perturbations of the initial conditions (16) give qualitatively the same result as the homogeneous perturbations. The survival times are plotted as circles in Fig.…”

Section: Stability Of Kinks and Nanopteronssupporting

confidence: 59%

“…. , N , (16) where {ξ n } N l n=1 ∈ [0, 1] are random numbers. This perturbation is of the order of the thermal velocities at room temperature for ǫ ≃ 0.1.…”

Section: Stability Of Kinks and Nanopteronsmentioning

confidence: 99%

“…In this way, we can exclude the dependence on the particular realization of disorder. We also have used the random perturbation scheme (16) for one fixed disorder realization. To characterize the robustness of the solitary wave, we introduce the survival time t s for which the progressive propagation with the constant velocity is sustained:…”

Section: Stability Of Kinks and Nanopteronsmentioning

confidence: 99%

See 2 more Smart Citations

Nonlinear waves in a model for silicate layers

Archilla

Zolotaryuk

Kosevich

et al. 2018

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Some layered silicates are composed of positive ions, surrounded by layers of ions with opposite sign. Mica muscovite is a particularly interesting material, because there exist fossil and experimental evidence for nonlinear excitations transporting localized energy and charge along the cation rows within the potassium layers. This evidence suggests that there are different kinds of excitations with different energies and properties. Some of the authors proposed recently a one-dimensional model based on physical principles and the silicate structure. The main characteristic of the model is that it has a hard substrate potential and two different repulsion terms, between ions and nuclei. In a previous work with this model, it was found the propagation of crowdions, i.e., lattice kinks in a lattice with substrate potential that transport mass and charge. They have a single specific velocity and energy coherent with the experimental data. In the present work, we perform a much more thorough search for nonlinear excitations in the same model using the pseudospectral method to obtain exact nanopteron solutions, which are single kinks with tails, crowdions, and bi-crowdions. We analyze their velocities, energies, and stability or instability and the possible reasons for the latter. We relate the different excitations with their possible origin from recoils from different beta decays and with the fossil tracks. We explore the consequences of some variation of the physical parameters because their values are not perfectly known. Through a different method, we also have found stationary and moving breathers, that is, localized nonlinear excitations with an internal vibration. Moving breathers have small amplitude and energy, which is also coherent with the fossil evidence.

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Section: Stability Of Kinks and Nanopteronssupporting

confidence: 59%

“…. , N , (16) where {ξ n } N l n=1 ∈ [0, 1] are random numbers. This perturbation is of the order of the thermal velocities at room temperature for ǫ ≃ 0.1.…”

Section: Stability Of Kinks and Nanopteronsmentioning

confidence: 99%

Section: Stability Of Kinks and Nanopteronsmentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear waves in a model for silicate layers

Archilla

Zolotaryuk

Kosevich

et al. 2018

Chaos: An Interdisciplinary Journal of Nonlinear Science

View full text Add to dashboard Cite

show abstract

“…Note that mω F are the frequencies in the moving frame and not in the laboratory frame, where the discrete Fourier transform (DFT) operates, and it is used to obtain the ω − q representation of the MB [33].…”

Section: Pterobrethers: Exact Moving Breathers With Wingsmentioning

confidence: 99%

“…The existence of the wings implies that the solutions are not completely localized. However, the wings are often very small and even disappear for specific frequencies, providing a supertransmission channel [33].…”

Section: Introductionmentioning

confidence: 99%

Pterobreathers in a model for a layered crystal with realistic potentials: Exact moving breathers in a moving frame

2019

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In this article we perform a thorough analysis of breathers in a one-dimensional model for a layered silicate for which there exists fossil and experimental evidence of moving excitations along the close-packed lines of the K + layers. Some of these excitations are likely breathers with a small energy of about 0.2 eV as the numerically obtained breathers described in the present model. Moving breathers as exact solutions of the dynamical equations are obtained at the price of being generically associated with a plane wave, a wing, with finite amplitude, although this amplitude can be very small. We call them pterobreathers. For some frequencies the wings disappear and the solutions become exact moving breathers with no wings, showing the phenomenon of supertransmission of energy. We perform a theoretical analysis of pterobreathers in systems with substrate potential and show that they are characterized by a single frequency in the moving frame plus the frequency of the wings. We have also studied high-energy stationary breathers which transform into single and double kinks and stable multibreathers with very strong localization.

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Quodon Current in Tungsten and Consequences for Tokamak Fusion Reactors

Russell,

Archilla,

Mas

2023

Physica Rapid Research Ltrs

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Tokamak fusion reactors produce energetic He ions that penetrate surfaces less than 20 μm and neutrons that spread throughout the reactor. Experiments with similar swift He ions in heavy metals show that the vibronic coupling of nonlinear lattice excitations creates mobile lattice excitations, called quodons. These are decoupled from phonons, move ballistically at near sonic speed, and propagate easily in metals and insulators. They can couple to and transport electric charge, which allows their observation in experiments. They rapidly disperse heat throughout a fusion reactor and carry charge through electrical insulators. In this article, an experimental design is presented that separates quodon current and conduction current and therefore makes it possible to measure the former. Also, the time‐of‐flight experiments are presented that lead to an estimation of quodon speed which is of the order of the sound velocity and therefore much faster than the drift of electrons or holes in conduction currents. Herein, results are presented on quodon current in tungsten, a material widely used in nuclear fusion technology, showing that many quodons are produced in fusion reactors. It is predicted that at high output powers, quodons created by He ions and neutrons may adversely impact on cryogenic systems.

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Supertransmission channel for an intrinsic localized mode in a one-dimensional nonlinear physical lattice

Cited by 11 publications

References 43 publications

Nonlinear waves in a model for silicate layers

Nonlinear waves in a model for silicate layers

Pterobreathers in a model for a layered crystal with realistic potentials: Exact moving breathers in a moving frame

Quodon Current in Tungsten and Consequences for Tokamak Fusion Reactors

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