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This paper presents the numerical verification of an asymptotic analytical solution for the nonlinear interaction between counterpropagating Alfven waves, the fundamental building block of astrophysical plasma turbulence. The analytical…

Solar and Stellar Astrophysics · Physics 2015-06-16 Kevin D. Nielson , Gregory G. Howes , William Dorland

In nonlinear dynamical systems with highly nonorthogonal linear eigenvectors, linear non-modal analysis is more useful than normal mode analysis in predicting turbulent properties. However, the non-trivial time evolution of non-modal…

Plasma Physics · Physics 2015-06-22 Brett Friedman , Troy A. Carter

We investigate the propagation of Rayleigh waves in a half-space coupled to a nonlinear metasurface. The metasurface consists of an array of nonlinear oscillators attached to the free surface of a homogeneous substrate. We describe,…

Applied Physics · Physics 2025-10-20 Antonio Palermo , Behrooz Yousefzadeh , Chiara Daraio , Alessandro Marzani

The statistical properties of the phases of several modes nonlinearly coupled in a random system are investigated by means of a Hamiltonian model with disordered couplings. The regime in which the modes have a stationary distribution of…

Statistical Mechanics · Physics 2011-09-14 Claudio Conti , Luca Leuzzi

We develop an analytic model of intermittent, three-dimensional, strong, reduced magnetohydrodynamic turbulence with zero cross helicity. We take the fluctuation amplitudes to have a log-Poisson distribution and incorporate into the model a…

Solar and Stellar Astrophysics · Physics 2014-03-26 Benjamin D. G. Chandran , Alexander A. Schekochihin , Alfred Mallet

New tridimensional plasma structures, that are oscillatory and classified as non-separable ballooning modes, can emerge in inhomogeneous plasmas and undergo resonant mode-particle interactions, e.g., with a minority population, that can…

Plasma Physics · Physics 2024-08-28 B. Coppi , B. Basu

We present a combined experimental and theoretical study of enhanced third-harmonic generation (THG) in silicon nitride metasurfaces. These structures exhibit strong resonant nonlinear responses, enabling up to two orders of magnitude…

This Chapter outlines the basic properties of waves in solar partially ionized plasmas. It provides a summary of the main sets of equations, from the single-fluid formalism, to the multi-fluid one, giving examples for purely hydrogen, and…

Solar and Stellar Astrophysics · Physics 2024-09-19 Elena Khomenko , David Martínez-Gómez

We investigate the nonclassical properties of output fields propagated through a contradirectional asymmetric nonlinear optical coupler consisting of a linear waveguide and a nonlinear (quadratic) waveguide operated by second harmonic…

Quantum Physics · Physics 2022-06-07 Kishore Thapliyal , Anirban Pathak , Biswajit Sen , Jan Perina

The study of nonlocal nonlinear systems and their dynamics is a rapidly increasing field of research. In this study, we take a closer look at the extended nonlocal Kadomtsev-Petviashvili (enKP) model through a systematic analysis of…

Pattern Formation and Solitons · Physics 2023-08-21 K. Sakkaravarthi , Sudhir Singh , N. Karjanto

Large-amplitude Alfv\'en waves are ubiquitous in space plasmas and a main component of magnetohydrodynamic (MHD) turbulence in the heliosphere. As pump waves they are prone to parametric instability by which they can generate cyclotron and…

Plasma Physics · Physics 2012-01-16 Eckart Marsch , Daniel Verscharen

Nonlinear metasurfaces offer new paradigm for boosting optical effect beyond limitations of conventional materials. In this work, we present an alternative way to produce pronounced third-harmonic generation (THG) based on nonlinear field…

We study the dynamics of two-dimensional nonlinear ion-ion hybrid waves propagating perpendicular to an external magnetic field in plasmas with two ion species. We derive nonlinear equations for the envelope of electrostatic potential at…

Pattern Formation and Solitons · Physics 2024-04-15 Volodymyr M. Lashkin

The fluid dynamics community has found success in explaining both the onset and coherent structure formation in wall-bounded turbulence through examining transient growth and pseudoresonance. Whether similar effects are important in plasmas…

Plasma Physics · Physics 2024-11-01 Elias Pratschke

This paper explores the hybridization of linear metric perturbations with linear electromagnetic (EM) perturbations in non-magnetized plasma for a general background metric. The local wave properties are derived from first principles for…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Deepen Garg , I. Y. Dodin

We present a comprehensive study of MHD waves and instabilities in a weakly ionised system, e.g., an interstellar molecular cloud. We determine all the critical wavelengths of perturbations across which the sustainable wave modes can change…

Solar and Stellar Astrophysics · Physics 2011-04-01 Telemachos Ch. Mouschovias , Glenn E. Ciolek , S. A. Morton

The study of X-point collapse in magnetic reconnection has witnessed extensive research in the context of space and laboratory plasmas. In this paper, a recently derived mathematical formulation of X-point collapse applicable in the regime…

Plasma Physics · Physics 2024-10-11 Hamdi M. Abdelhamid , Manasvi Lingam

In this Letter, we provide experimental evidence of nonlinear wave propagation in a triangular lattice of repulsive magnets supported by an elastic foundation of thin pillars and we interpret all the individual features of the nonlinear…

Pattern Formation and Solitons · Physics 2021-03-22 Weijian Jiao , Stefano Gonella

For the study of highly nonlinear, conservative dynamic systems, finding special periodic solutions which can be seen as generalization of the well-known normal modes of linear systems is very attractive. However, the study of…

Systems and Control · Electrical Eng. & Systems 2019-11-06 Alin Albu-Schaeffer , Dominic Lakatos , Stefano Stramigioli

The temporal property of the compressible magneto-hydrodynamic (MHD) turbulence remains a fundamental unsolved question. Recent studies based on the spatial-temporal analysis in the global frame of reference suggest that the majority of…

Plasma Physics · Physics 2023-10-09 Ka Ho Yuen , Hui Li , Huirong Yan
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