Band structure and optical properties of II-IV-V compounds

Zakharov, N. A.; Chaldyshev, V. A.

doi:10.1007/bf00894029

Cited by 17 publications

(22 citation statements)

References 49 publications

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“…The statistical properties of weakly nonlinear wave systems have been thus proven to evolve through a kinetic equation for the second order moments of the wave amplitudes [10]. Many different systems such as waves in plasma [11][12][13][14], spin waves in solids [15,16], surface waves in fluids [7,8,10,17,18] and nonlinear optics [19,20] among others, have been shown to follow similar kinetic equations in the weakly nonlinear regime. Moreover, Zakharov has shown that stationary, out-of-equilibrium power-law solutions, naturally emerge from the kinetic equation [11].…”

mentioning

confidence: 99%

Exact result in strong wave turbulence of thin elastic plates

Düring¹,

Krstulovic²

2018

Phys. Rev. E

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An exact result concerning the energy transfers between nonlinear waves of a thin elastic plate is derived. Following Kolmogorov's original ideas in hydrodynamical turbulence, but applied to the Föppl-von Kármán equation for thin plates, the corresponding Kármán-Howarth-Monin relation and an equivalent of the 4/5-Kolmogorov's law is derived. A third-order structure function involving increments of the amplitude, velocity, and the Airy stress function of a plate, is proven to be equal to -ɛℓ, where ℓ is a length scale in the inertial range at which the increments are evaluated and ɛ the energy dissipation rate. Numerical data confirm this law. In addition, a useful definition of the energy fluxes in Fourier space is introduced and proven numerically to be flat in the inertial range. The exact results derived in this Rapid Communication are valid for both weak and strong wave turbulence. They could be used as a theoretical benchmark of new wave-turbulence theories and to develop further analogies with hydrodynamical turbulence.

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confidence: 99%

Exact result in strong wave turbulence of thin elastic plates

Düring¹,

Krstulovic²

2018

Phys. Rev. E

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“…But the comparison between calculated and experimental spectra is often somewhat disappointing because from the calculated spectrum it is difficult to correctly determine the electronic transitions responsible for the structures experimentally observed. Such a difficulty is apparent for example in the results obtained by Zakharov and Chaldyshev [23], and may be explained by the microscopic approach [24] to the dielectric constant. This approach leads to a shift between an electronic transition and the corresponding peak in the optical spectrum.…”

Section: Resultsmentioning

confidence: 94%

Energy Band Structure Calculation of CdGeAs₂ by Pseudopotential Method with Spin–Orbit Interaction

Madelon¹,

Paumier²,

Hairie³

1991

Physica Status Solidi (b)

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The electronic energy bands of CdGeAs, are calculated at symmetry points and along symmetry directions of the Brillouin zone, using the empirical pseudopotential method and taking into account the spin-orbit interaction. The introduction of the spin-orbit interaction improves the correspondence between calculated and measured values of transition energies. The symmetry properties of the wave function are determined with and without spin-orbit interaction: this study confirms the level order and the transition polarization dependence of levels, in particular around the gap which is a direct one.Nous avons calcule la structure de bande de CdGeAs, aux points et le long des directions de symetrie de la zone de Brillouin a l'aide de la mtthode du pseudopotentiel empirique et en tenant compte de l'interaction spin orbite. L'introduction de l'interaction spin orbite ameliore l'accord des resultats du calcul avec la determination exptrimentale de l'tnergie des transitions tlectroniques. L'etude des proprietts de symttrie de la fonction d'onde avec et sans interaction spin orbite confirme l'ordre des niveaux et permet de trouver les polarisations des transitions, en particulier autour du gap qui est direct.

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“…However, nonlinear disparate-scale wave interactions which follow from the direct calculation of basic three-wave coupling can only lead to inverse cascades (to longer wavelengths) through modulational instability [64], and away from the Landau damping region of the spectrum. The eventual nonlinear process capable of overriding this inverse cascade was suggested by Zakharov, namely Langmuir collapse (LC), which is analogous to a self-focusing of the Langmuir wave packets, or cavitons [65].…”

Section: Electron Two-stream Instability and The Common Origin Of Kinmentioning

confidence: 99%

“…The maximum growth rate for modulational instability is γ m = ω pi ( E 2 L /8πn 0 T e ) 1/2 and the critical condition for Langmuir collapse (LC) is [65]:…”

Section: Etsi and Continuous Coherent Plasma Emissionmentioning

confidence: 99%

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How Nanoflares Produce Kinetic Waves, Nano-Type III Radio Bursts, and Non-Thermal Electrons in the Solar Wind

Che

2018

J. Phys.: Conf. Ser.

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Observations of the solar corona and the solar wind discover that the solar wind is unsteady and originates from the impulsive events near the surface of the Sun's atmosphere. How solar coronal activities affect the properties of the solar wind is a fundamental issue in heliophysics. We report a simulation and theoretical investigation of how nanoflare accelerated electron beams affect the kinetic-scale properties of the solar wind and generate coherent radio emission. We show that nanoflare-accelerated electron beams can trigger a nonlinear electron two stream instability, which generates kinetic Alfvén and whistler waves, as well as a non-Maxwellian electron velocity distribution function, consistent with observations of the solar wind. The plasma coherent emission produced in our model agrees well with the observations of Type III, J and V solar radio bursts. Open questions in the kinetic solar wind model are also discussed.

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Band structure and optical properties of II-IV-V compounds

Cited by 17 publications

References 49 publications

Exact result in strong wave turbulence of thin elastic plates

Exact result in strong wave turbulence of thin elastic plates

Energy Band Structure Calculation of CdGeAs₂ by Pseudopotential Method with Spin–Orbit Interaction

How Nanoflares Produce Kinetic Waves, Nano-Type III Radio Bursts, and Non-Thermal Electrons in the Solar Wind

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Band structure and optical properties of II-IV-V compounds

Cited by 17 publications

References 49 publications

Exact result in strong wave turbulence of thin elastic plates

Exact result in strong wave turbulence of thin elastic plates

Energy Band Structure Calculation of CdGeAs2 by Pseudopotential Method with Spin–Orbit Interaction

How Nanoflares Produce Kinetic Waves, Nano-Type III Radio Bursts, and Non-Thermal Electrons in the Solar Wind

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Energy Band Structure Calculation of CdGeAs₂ by Pseudopotential Method with Spin–Orbit Interaction