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Academic literature on the topic 'Stochastic wave packets'

Author: Grafiati
Published: 30 May 2022
Last updated: 31 May 2022

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Journal articles on the topic "Stochastic wave packets"

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MILLET, Christophe, Bruno RIBSTEIN, and Francois LOTT. "Infrasound scattering from stochastic gravity wave packets." Journal of the Acoustical Society of America 141, no. 5 (May 2017): 3628. http://dx.doi.org/10.1121/1.4987800.

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Osborne. "Breather Turbulence: Exact Spectral and Stochastic Solutions of the Nonlinear Schrödinger Equation." Fluids 4, no. 2 (April 15, 2019): 72. http://dx.doi.org/10.3390/fluids4020072.

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I address the problem of breather turbulence in ocean waves from the point of view of the exact spectral solutions of the nonlinear Schrödinger (NLS) equation using two tools of mathematical physics: (1) the inverse scattering transform (IST) for periodic/quasiperiodic boundary conditions (also referred to as finite gap theory (FGT) in the Russian literature) and (2) quasiperiodic Fourier series, both of which enhance the physical and mathematical understanding of complicated nonlinear phenomena in water waves. The basic approach I refer to is nonlinear Fourier analysis (NLFA). The formulation describes wave motion with spectral components consisting of sine waves, Stokes waves and breather packets that nonlinearly interact pair-wise with one another. This contrasts to the simpler picture of standard Fourier analysis in which one linearly superposes sine waves. Breather trains are coherent wave packets that “breath” up and down during their lifetime “cycle” as they propagate, a phenomenon related to Fermi-Pasta-Ulam (FPU) recurrence. The central wave of a breather, when the packet is at its maximum height of the FPU cycle, is often treated as a kind of rogue wave. Breather turbulence occurs when the number of breathers in a measured time series is large, typically several hundred per hour. Because of the prevalence of rogue waves in breather turbulence, I call this exceptional type of sea state a breather sea or rogue sea. Here I provide theoretical tools for a physical and dynamical understanding of the recent results of Osborne et al. (Ocean Dynamics, 2019, 69, pp. 187–219) in which dense breather turbulence was found in experimental surface wave data in Currituck Sound, North Carolina. Quasiperiodic Fourier series are important in the study of ocean waves because they provide a simpler theoretical interpretation and faster numerical implementation of the NLFA, with respect to the IST, particularly with regard to determination of the breather spectrum and their associated phases that are here treated in the so-called nonlinear random phase approximation. The actual material developed here focuses on results necessary for the analysis and interpretation of shipboard/offshore platform radar scans and for airborne lidar and synthetic aperture radar (SAR) measurements.
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Khazanov, G. V., D. G. Sibeck, A. A. Tel'nikhin, and T. K. Kronberg. "Stochastic acceleration of ions driven by Pc1 wave packets." Physics of Plasmas 22, no. 7 (July 2015): 072901. http://dx.doi.org/10.1063/1.4926823.

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RIGATOS, GERASIMOS G. "QUANTUM WAVE-PACKETS IN FUZZY AUTOMATA AND NEURAL ASSOCIATIVE MEMORIES." International Journal of Modern Physics C 18, no. 10 (October 2007): 1551–69. http://dx.doi.org/10.1142/s012918310701156x.

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In this paper the existence of quantum wave-packets in neural structures, such as automata and associative memories, is studied. The synaptic weights are considered to be stochastic variables, with probability density functions given by the solution of Schrödinger's equation. It is shown that the weights' update can be performed with the use of unitary operators, as indicated by the postulates of quantum mechanics. Moreover, it is proved that the number of attractors of quantum associative memories increases exponentially with respect to conventional associative memories. Finally, simulation tests are used to demonstrate the improved pattern storage capabilities of quantum associative memories.
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Telloni, Daniele. "Persistence of Ion Cyclotron Waves and Stochasticity of Kinetic Alfvén Waves in the Solar Wind." Atmosphere 12, no. 1 (December 30, 2020): 44. http://dx.doi.org/10.3390/atmos12010044.

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This paper investigates the nature of the physical processes underlying the origin of the Ion Cyclotron Waves (ICWs) and Kinetic Alfvén Waves (KAWs) in the solar wind, by studying their Waiting Time Distributions (WTDs). The results show that ICWs and KAWs do not share common statistical properties: while KAWs independently occur as stochastic, uncorrelated wave packets governed by Poisson statistics, ICWs are highly correlated, thus departing from the Poisson hypothesis. The results based on the WTD analysis may cast more light on the mechanisms actively at work in the generation of the two wave modes. Specifically, while the stochastic character of KAWs may be reminiscent of the random convection-driven jostling of the flux-tube foot-points that generates the Alfvén waves in the lower solar atmosphere, the correlations among the ICW events can be effectively explained on the basis of the persistent nature of the mechanism underlying the local origin of ICWs, namely the proton cyclotron instability. Alternative explanations for the observed distribution of ICW waiting times, based on a piecewise-constant Poisson process involving time-varying rates, are also reported.
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DE MARTINO, SALVATORE, SILVIO DE SIENA, and FABRIZIO ILLUMINATI. "A CLASS OF QUANTUM STATES WITH CLASSICAL-LIKE EVOLUTION." Modern Physics Letters B 08, no. 29 (December 20, 1994): 1823–31. http://dx.doi.org/10.1142/s0217984994001734.

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In the framework of the stochastic formulation of quantum mechanics we derive non-stationary states for a class of time-dependent potentials. The wave packets follow a classical motion with constant dispersion. The new states define a possible extension of the harmonic oscillator coherent states. As an explicit application, we study a sestic oscillator potential.
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Ono, Akira, and Hisashi Horiuchi. "Antisymmetrized molecular dynamics of wave packets with stochastic incorporation of the Vlasov equation." Physical Review C 53, no. 6 (June 1, 1996): 2958–72. http://dx.doi.org/10.1103/physrevc.53.2958.

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McNeill, Lucy O., and Bernhard Müller. "Stochastic core spin-up in massive stars – implications of 3D simulations of oxygen shell burning." Monthly Notices of the Royal Astronomical Society 497, no. 4 (August 5, 2020): 4644–53. http://dx.doi.org/10.1093/mnras/staa2287.

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ABSTRACT It has been suggested based on analytic theory that even in non-rotating supernova progenitors stochastic spin-up by internal gravity waves (IGWs) during the late burning stages can impart enough angular momentum to the core to result in neutron star birth spin periods below $100\, \mathrm{ms}$, and a relatively firm upper limit of $500\, \mathrm{ms}$ for the spin period. We here investigate this process using a 3D simulation of oxygen shell burning in a 3 M⊙ He star. Our model indicates that stochastic spin-up by IGWs is less efficient than previously thought. We find that the stochastic angular momentum flux carried by waves excited at the shell boundary is significantly smaller for a given convective luminosity and turnover time than would be expected from simple dimensional analysis. This can be explained by noting that the waves launched by overshooting convective plumes contain modes of opposite angular wavenumber with similar amplitudes, so that the net angular momentum of excited wave packets almost cancels. We find that the wave-mediated angular momentum flux from the oxygen shell follows a random walk, but again dimensional analysis overestimates the random walk amplitudes since the correlation time is only a fraction of the convective turnover time. Extrapolating our findings over the entire lifetime of the last burning stages prior to collapse, we predict that the core angular momentum from stochastic spin-up would translate into long birth spin periods of several seconds for low-mass progenitors and no less than $100\, \mathrm{ms}$ even for high-mass progenitors.
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Sembiring, J., and K. Akizuki. "On The De-correlation of Stochastic Processes Using Wave Packets: Fractional Brownian Motion Case." Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications 1996 (May 5, 1996): 47–52. http://dx.doi.org/10.5687/sss.1996.47.

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Bratus', E. N., S. A. Gredeskul, L. A. Pastur, and V. S. Shumeyko. "Quantum dynamics of quasiparticles in a stochastic field and nonlinear dissipation of wave packets." Physics Letters A 131, no. 7-8 (September 1988): 449–53. http://dx.doi.org/10.1016/0375-9601(88)90299-x.

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Dissertations / Theses on the topic "Stochastic wave packets"

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Грицунов, А. В., И. Н. Бондаренко, and И. Ю. Близнюк. "Stochastic wave packets of natural oscillatory systems." Thesis, Харьковский национальный университет радиоэлектроники, 2017. http://openarchive.nure.ua/handle/document/6891.

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De Broglie waves are interpreted as oscillations of generalized coordinates of natural oscillatory systems with distributed parameters (NOSs). The action four-scalar and the momentum- energy four-vector both are assimilated with the geometry of NOS eigenmodes in the Minkowski spacetime. A conservation law for the action is supposed as a necessary condition for the energy-momentum conservation. The Wheeler-Feynman’s concept of “direct interparticle action” is developed for both the quantum radiation-absorption and the Coulomb interaction. The spatio-temporal localization of NOS wave packets and Heisenberg’s “uncertainty principle” both are assumed to be results of stochastic exchange with action quanta between different NOSs. The simplest examples of NOS wave packets are given. Some outcomes of application of this theory to solid state phenomena are discussed.
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Conference papers on the topic "Stochastic wave packets"

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Nagornykh, E. "Stochastic Motion of Relativistic Particles in the Field of a Wide Wave Packet." In PLASMA PHYSICS: 11th International Congress on Plasma Physics: ICPP2002. AIP, 2003. http://dx.doi.org/10.1063/1.1594057.

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