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The Eigenfunctions of the Multi-species Liouville Operator for Solitary Waves, Phase-space Holes and Double Layers

Autor: Nocera L, Palumbo LJ

Publikováno v: pp.1–24, 2014

In this report, we give a detailed derivation of the spectrum and the eigenfunctions of the free streaming oscillations of electrons and massive, mobile ions about three physically relevant types of inhomogeneous equilibria: the bell-shaped solitary

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=cnr_________::e11532955759e7349993f187e69f670e
https://publications.cnr.it/doc/306590

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Stability of singular, asymmetric stationary states of the Vlasov equation

Autor: Nocera L, Palumbo LJ

Publikováno v: info:cnr-pdr/source/autori:Nocera L; Palumbo LJ/congresso_nome:100th National Congress of the Italian Physical Society/congresso_luogo:Pisa/congresso_data:22-26%2F09%2F2014/anno:2014/pagina_da:37/pagina_a:37/intervallo_pagine:37–37

Nello spazio Fourier-trasformato della velocit\`O le soluzioni BGK delle equazioni di Vlasov-Poisson si presentano come un fenomeno diffrattivo propagato dalla funzione di Green dell'operatore di Vlasov a partire dalle condizioni al contorno. In ques

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=cnr_________::d2a087d9c07005dbe6060807adc4d3bd
http://www.cnr.it/prodotto/i/306534

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The Eigenfunctions of the Inhomogeneous Free-streaming Collisionless Boltzmann Operator in the Fourier Transformed Velocity Space

Autor: Palumbo LJ, Nocera L

Publikováno v: pp.1–16, 2014

In this report, we give a detailed derivation of the eigenvalues and of the corresponding eigenfunctions of the collisionless Boltzamann equations governing the vibrations of the electron and ion fluids in an electrostatic sheath embedded in an inhom

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=cnr_________::481b215337c9919d804737bdeaa625f4
http://www.cnr.it/prodotto/i/306673

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Bloch Eigenfunctions of the Inhomogeneous Liouville Operator in the Fourier Transformed Velocity Space

Autor: Nocera L, Palumbo LJ

Publikováno v: pp.1–25, 2014

In this report, we give a detailed derivation of the eigenvalues and of the corresponding eigenfunctions of the inomogeneous Liouville operator governing the free streaming oscillations of ions and electrons about an equilibrium background characteri

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=cnr_________::a8b26ed1ff9180e4f5e7e730ef81b65d
http://www.cnr.it/prodotto/i/306622

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The Permittivity of a Multispecies Ionized Gas to Electrostatic Perturbations: a Fourier Transform, Integral Equation Approach Through Singular Eigenfunction Reconstruction

Autor: Palumbo LJ, Nocera L

Publikováno v: pp.1–24, 2014

In this report, we give a detailed derivation of the eigenvalues and of the corresponding eigenfunctions of the collisionless Boltzamann equation governing the vibrations of a multispecies ionized gas. These eigenfunctions are worked out as a superpo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=cnr_________::41a3cf8ab0106199a3c8c7cf9bfe4b5d
http://www.cnr.it/prodotto/i/306648

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Vlasov-Poisson Equilibria as Solutions of a Mixed Hilbert-Stjelties Integral Inverse Problem

Autor: Nocera L, Palumbo LJ

Publikováno v: pp.1–10, 2013

We present exact, weak, two species Vlasov equlibria as solutions of a mixed Stjelties-Hilbert integral inverse problem. We apply these solutions to the steady state electron rich sheath associated with a non monotonic potential profile and an asymme

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=cnr_________::cf7e52ff96340a00088311535f50dcf5
https://publications.cnr.it/doc/306705

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Synthesis and regularization of the statistical distribution functions of the particles inside an asymmetric solitary wave

Autor: Palumbo LJ, Nocera L

Publikováno v: pp.1–12, 2012

We present new singular solutions of the steady state, two species Vlasov-Poisson equations. The hot, finite mass, mobile ions have an energy distribution which is log singular at the position of the electric potential's minimum. We show that a simpl

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=cnr_________::6dc8c02b5468859e59c6871d3e54bf45
http://www.cnr.it/prodotto/i/306720

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Particle Kinetics in Asymmetric Electrostatic Waves

Autor: Nocera L, Palumbo LJ

Publikováno v: pp.1–18, 2011

We present analytical expressions for the energy distribution functions of electrons and ions supporting a steady state electrostatic structure in a collisionless plasma. The electric potential of the structure is skew-asymmetrically distributed in s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=cnr_________::43ce88cd8392ad21647a1fed10d93209
http://www.cnr.it/prodotto/i/306735

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