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Collisionless regime kinetic models for coherent nonlinear Alfven wave dynamics are studied using fluid moment equations with an approximate closure anzatz. Resonant particle effects are modelled by incorporating an additional term…

Plasma Physics · Physics 2009-10-30 M. V. Medvedev , P. H. Diamond

This thesis addresses the thermalisation of heavy-ion collisions within the context of the AdS/CFT duality. The first part clarifies the numerical set-up and studies the relaxation of far-from-equilibrium modes in homogeneous systems. Less…

High Energy Physics - Theory · Physics 2014-07-09 Wilke van der Schee

The nonlinear theory of two-dimensional ion-acoustic (IA) solitary waves and shocks (SWS) is revisited in a dissipative quantum plasma. The effects of dispersion, caused by the charge separation of electrons and ions and the quantum force…

Plasma Physics · Physics 2015-06-23 A. P. Misra , B. Sahu

Being directly observed in the Doppler shift and imaging data and indirectly as quasi-periodic pulsations in solar and stellar flares, slow magnetoacoustic waves offer an important seismological tool for probing many vital parameters of the…

Solar and Stellar Astrophysics · Physics 2022-05-25 Dmitrii Y. Kolotkov , Valery M. Nakariakov

The addition of higher order asymptotic corrections to the Korteweg-de Vries equation results in the extended Korteweg-de Vries equation. These higher order terms destabilise the dispersive shock wave solution, also termed an undular bore…

Pattern Formation and Solitons · Physics 2023-02-15 Saleh Baqer , Noel F. Smyth

Previously developed method for finding asymptotic solutions of Vlasov equations using two-dimensional (in coordinate x and time t) Laplace transform is here applied to consider transversal oscillations and waves in low-collision…

Plasma Physics · Physics 2007-05-23 V. N. Soshnikov

We present the results of analytical modelling of fast-mode magnetohydrodynamic wave propagation near a 2D magnetic null point. We consider both a linear wave and a weak shock and analyse their behaviour in cold and warm plasmas. We apply…

Solar and Stellar Astrophysics · Physics 2015-06-05 Andrey N. Afanasyev , Arkadiy M. Uralov

The propagation of nonlinear electron- acoustic waves (EAWs) in an unmagnetized collision- less plasma system consisting of a cold electron fluid, superthermal hot electrons and stationary ions is investigated. A reductive perturbation…

Plasma Physics · Physics 2015-06-03 H. Chen , S. Q. Liu

In this paper, we characterized resonant interaction of weakly nonlinear hyperbolic waves in gas dynamics with a real gas background. An asymptotic approach is used to study the interaction between waves, governed by the Euler equations of…

Analysis of PDEs · Mathematics 2020-07-15 Harsh V. Mahara , V. D. Sharma

The electron energy distribution function (EEDF) in low-temperature plasmas exhibits features not fully captured by classical collisional models, particularly across the transition from kinetic to hydrodynamic regimes. This work attributes…

Plasma Physics · Physics 2025-07-16 Joel Saucedo , Uday Lamba , Hasitha Mahabaduge

Observations show that plasma particles in the solar wind frequently display power-law velocity distributions, which can be isotropic or anisotropic. Particularly, the velocity distribution functions of solar wind electrons are frequently…

Plasma Physics · Physics 2017-11-30 S. F. Tigik , L. T. Petruzzellis , L. F. Ziebell , P. H. Yoon , R. Gaelzer

We develop a purely hydrodynamic formalism to describe collisional, anisotropic instabilities in a relativistic plasma, that are usually described with kinetic theory tools. Our main motivation is the fact that coarse-grained models of high…

High Energy Physics - Phenomenology · Physics 2017-01-04 Esteban Calzetta , Alejandra Kandus

A theoretical investigation has been carried out on the propagation of nonlinear ion-acoustic shock waves (IASHWs) in a collsionless magnetized degenerate quantum plasma system composed of inertial non-relativistic positively charged light…

Plasma Physics · Physics 2021-04-07 M. K. Islam , S. Biswas , N. A. Chowdhury , A. Mannan , M. Salahuddin , A. A. Mamun

We consider the one-dimensional ions dynamics in weakly collisional plasmas governed by the Vlasov-Poisson-Landau system under the Boltzmann relation with the small collision frequency $\nu>0$. It is observed in physical experiments that…

Analysis of PDEs · Mathematics 2025-07-01 Renjun Duan , Zongguang Li , Dongcheng Yang , Tong Yang

The dissipative electron-ion-pcd (positively charged dust) plasma, which is observed in both space and laboratory plasmas, is considered. The basic features of nonplanar cylindrical and spherical ion-acoustic subsonic shock waves in such a…

Plasma Physics · Physics 2020-09-29 A A Mamun , B. E. Sharmin

An important physical model describing the dynamics of dilute weakly ionized plasmas in the collisional kinetic theory is the Vlasov-Poisson-Boltzmann system for which the plasma responds strongly to the self-consistent electrostatic force.…

Analysis of PDEs · Mathematics 2012-03-20 Renjun Duan , Tong Yang , Huijiang Zhao

The propagation properties of ion-acoustic solitary and shock waves in the magnetized viscous plasma with nonthermal trapped electrons are investigated. The Cairns-Gurevich distribution as the electron distribution is considered to describe…

Plasma Physics · Physics 2025-12-11 Rui Huo , Jiulin Du

The nonlinear collisional dynamics of coupled driven plasma waves in the presence of background dissipation is studied analytically within kinetic theory. Sufficiently near marginal stability, phase space correlations are poorly preserved…

Plasma Physics · Physics 2023-05-18 N. M. Pham , V. N. Duarte

Linear and nonlinear ion-acoustic waves are studied in a fluid model for non-relativistic, unmagnetized quantum plasma with electrons with an arbitrary degeneracy degree. The equation of state for electrons follows from a local Fermi-Dirac…

Plasma Physics · Physics 2016-03-09 Fernando Haas , Shahzad Mahmood

Decay in time of undriven weakly collisional kinetic plasma turbulence in systems large compared to the ion kinetic scales is investigated using fully electromagnetic particle-in-cell simulations initiated with transverse flow and magnetic…

Plasma Physics · Physics 2015-06-16 P. Wu , M. Wan , W. H. Matthaeus , M. A. Shay , M. Swisdak