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This work introduces a theoretical extension of the characteristic mode formulation for analysing the vertical electric dipole lying above a lossy dielectric half-space. As the conventional characteristic formulation fails to maintain the…

Signal Processing · Electrical Eng. & Systems 2020-09-23 Sandip Ghosal , Arijit De , Raed M. Shubair , Ajay Chakrabarty

An instability driven by the thermal anisotropy of a single electron species is investigated in a 2D particle-in-cell (PIC) simulation. This instability is the one considered by Weibel and it differs from the beam driven filamentation…

High Energy Astrophysical Phenomena · Physics 2015-05-19 A Stockem , M E Dieckmann , R Schlickeiser

We develop a theoretical framework that predicts and fully characterizes the diverse experimental observations of the nonlinear, combustion wave propagation in a rotating detonation engine (RDE), including the nucleation and formation of…

Fluid Dynamics · Physics 2021-08-18 James Koch , Mitsuru Kurosaka , Carl Knowlen , J. Nathan Kutz

We develop a theory of buoyancy instabilities of the electron-ion plasma with the heat flux based on not the MHD equations, but using the multicomponent plasma approach. We investigate a geometry in which the background magnetic field,…

Astrophysics of Galaxies · Physics 2010-03-02 Anatoly K. Nekrasov , Mohsen Shadmehri

Following the paper of K. Shimizu et al. (2011) we consider the Bonhoeffer-van der Pol oscillator with non-autonomous periodic perturbation. We show that the presence of mixed mode oscillations reported in that paper can be explained using…

Mathematical Physics · Physics 2013-11-21 E. Kutafina

The three-dimensional nature of plasmoid instabilities is studied using the reduced magnetohydrodynamic equations. For a Harris equilibrium with guide field, represented by $\vc{B}_o = B_{po} \tanh (x/\lambda) \hat{y} + B_{zo} \hat{z}$, a…

Plasma Physics · Physics 2015-06-03 S. D. Baalrud , A. Bhattacharjee , Y. -M. Huang

In this paper we propose a nonlinear elasticity model of macromolecular conformational change (deformation) induced by electrostatic forces generated by an implicit solvation model. The Poisson-Boltzmann equation for the electrostatic…

Analysis of PDEs · Mathematics 2010-01-12 Yongcheng Zhou , Michael Holst , James Andrew McCammon

The mode coupling instability for coasting beams has been discussed in a previous paper using macroparticle tracking simulations from the pyHeadTail code and a simple analytical formula which was proposed as an extension of the ansatz used…

Accelerator Physics · Physics 2021-06-11 N. Biancacci , E. Métral , M. Migliorati

We report on detailed investigation of the stability of localized modes in the nonlinear Schrodinger equations with a nonlinear parity-time (alias PT) symmetric potential. We are particularly focusing on the case where the…

Pattern Formation and Solitons · Physics 2011-12-09 D. A. Zezyulin , Y. V. Kartashov , V. V. Konotop

A modal expansion approach is developed and employed to investigate and elucidate the nonlinear mechanism behind the multistability and formation of coupled multi-mode polariton solitons in microcavity wires. With pump switched on and…

Optics · Physics 2016-12-28 G. Slavcheva , A. V. Gorbach , A. Pimenov

We extend the linear analysis of the drag instability in a 1D perpendicular isothermal C-shock by Gu & Chen to 2D perpendicular and oblique C-shocks in the typical environment of star-forming clouds. Simplified dispersion relations are…

Solar and Stellar Astrophysics · Physics 2021-06-21 Pin-Gao Gu

We address the problem of constructing a non-equilibrium stationary state for a one-dimensional stochastic Klein-Gordon wave equation with non-linearity, using perturbation theory. The linear theory is reviewed, but with the linear…

Mathematical Physics · Physics 2022-04-18 Gianluca Guadagni , Lawrence E. Thomas

We present an expansion of a many-body correlation function in a sum of pseudomodes -- exponents with complex frequencies that encompass both decay and oscillations. The pseudomode expansion emerges in the framework of the Heisenberg…

Strongly Correlated Electrons · Physics 2025-05-26 Alexander Teretenkov , Filipp Uskov , Oleg Lychkovskiy

The transition between non resonant (Weibel-type) and resonant (whistler) instabilities is investigated numerically in plasma configurations with an ambient magnetic field of increasing amplitudes. The Vlasov-Maxwell system is solved in a…

Plasma Physics · Physics 2010-08-17 L. Palodhi , F. Califano , F. Pegoraro

We analyze the problem of the beam-plasma instability via the analytical treatment of the so-called Dyson equation. We first compared the prediction of the model constructed by fixing the electric field amplitude with respect to a N-body…

Plasma Physics · Physics 2019-09-04 Nakia Carlevaro , Francesco Finelli , Giovanni Montani

The selfgenerated wave fluctuations are particularly interesting in the solar wind and magnetospheric plasmas, where Coulomb collisions are rare and cannot explain the observed states of quasi-equilibrium. Linear theory predicts that the…

Solar and Stellar Astrophysics · Physics 2015-06-16 M. Lazar , S. Poedts , R. Schlickeiser , D. Ibscher

We construct a mean-field model that describes the nonlinear dynamics of a spin-polarized electron gas interacting with fixed, positively-charged ions possessing a magnetic moment that evolves in time. The mobile electrons are modeled by a…

Dynamics of linear perturbations in a differentially rotating accretion disk with non-homogeneous vertical structure is investigated. It has been found that turbulent viscosity results in instability of both pinching oscillations, and…

Astrophysics · Physics 2007-05-23 A. V. Khoperskov , S. S. Khrapov

Performing a stability analysis during the design of any electronic circuit is critical to guarantee its correct operation. A closed-loop stability analysis can be performed by analysing the impedance presented by the circuit at a…

Systems and Control · Computer Science 2018-02-21 Adam Cooman , Fabien Seyfert , Martine Olivi , Sylvain Chevillard , Laurent Baratchart

In this paper, we establish the stability of the quasineutral limit for the ionic Vlasov-Poisson system under perturbations exponentially small in Wasserstein sense. Notably, we emphasize that exponential smallness is a necessary condition…

Analysis of PDEs · Mathematics 2024-03-08 Megan Griffin-Pickering , Mikaela Iacobelli
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