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Many physical systems are governed by ordinary or partial differential equations (see, for example, Chapter ''Differential equations'', ''System of Differential Equations''). Typically the solution of such systems are functions of time or…

Numerical Analysis · Mathematics 2023-09-06 Clarissa Astuto , Giovanni Russo

Broad classes of plasma phenomena can be understood in terms of phase-space rearrangements. For example, the net effect of a wave-particle interaction may consist of moving populations of particles from one region of phase space to another.…

Plasma Physics · Physics 2024-05-10 E. J. Kolmes , N. J. Fisch

The linearized problem of plasma oscillations in layer (particularly, in thin films) in external longitudinal alternating electric field is solved analytically. Specular - accommodative boundary conditions of electron reflection from the…

Mathematical Physics · Physics 2011-04-12 A. V. Latyshev , A. A. Yushkanov

We describe aspects of particle creation in strong fields using a quantum kinetic equation with a relaxation-time approximation to the collision term. The strong electric background field is determined by solving Maxwell's equation in…

Nuclear Theory · Physics 2007-05-23 A. V. Prozorkevich , D. V. Vinnik , S. M. Schmidt , M. B. Hecht , C. D. Roberts

The goal of this paper is the identification of the physical processes at the origin of the nonlinear behavior of a plasma conductor when an external constraint gradually departs the system from thermal equilibrium. This reveals the…

Pattern Formation and Solitons · Physics 2007-08-31 E. Lozneanu , S. Popescu , M. Sanduloviciu

The temporal evolution of weak shocks in radiative media is theoretically investigated in this work. The structure of radiative shocks has traditionally been studied in a stationary framework. Their systematic classification is complex…

Long-term simulations of energetic electron fluxes in many space plasma systems require accounting for two groups of processes with well separated time-scales: microphysics of electron resonant scattering by electromagnetic waves and…

Plasma Physics · Physics 2021-10-04 A. S. Lukin , A. V. Artemyev , A. A. Petrukovich

Plasma shock waves widely exist and play an important role in high-energy-density environment, especially in the inertial confinement fusion. Due to the large gradient of macroscopic physical quantities and the coupled thermal, electrical,…

Plasma Physics · Physics 2023-08-25 Zhipeng Liu , Jiahui Song , Aiguo Xu , Yudong Zhang , Kan Xie

We investigate thermal instability in an electron-ion magnetized plasma relevant to galaxy clusters, solar corona, and other two-component astrophysical objects. We apply the multicomponent plasma approach when the dynamics of all the…

Astrophysics of Galaxies · Physics 2015-05-30 Anatoly K. Nekrasov

We determine the spectrum of particles accelerated at shocks with arbitrary speed and arbitrary scattering properties for different choices of the equation of state of the downstream plasma. More specifically we consider the effect of…

Astrophysics · Physics 2009-11-13 G. Morlino , P. Blasi , M. Vietri

We describe kinetic simulations of transient problems in partially ionized weakly-collisional plasma around spherical bodies absorbing or emitting charged particles. Numerical solutions of kinetic equations for electrons and ions in 1D2V…

Plasma Physics · Physics 2023-11-14 V I Kolobov , R R Arslanbekov , H Liang

A system of partial differential equations (PDEs) is derived to compute the full-field stress from an observed kinematic field when the flow rule governing the plastic deformation is unknown. These equations generalize previously proposed…

Materials Science · Physics 2023-01-19 Benjamin C. Cameron , Cem Tasan

The use of fully or partially absorbing boundary conditions for diffusion-based problems has become paradigmatic in physical chemistry and biochemistry to describe reactions occurring in solutions or in living media. However, as chemical…

Statistical Mechanics · Physics 2022-12-13 Francesco Piazza

Thermal instability in an electron-ion magnetized plasma, which is relevant in the intragalactic medium (IGM) of galaxy clusters, solar corona, and other two-component plasma objects is investigated. We apply the multicomponent plasma…

Astrophysics of Galaxies · Physics 2015-05-28 Anatoly K. Nekrasov

Partially ionized plasma physics has attracted a lot of attention recently due to numerous technological applications made possible by the increased sophistication of computer modelling, the depth of the theoretical analysis, and the…

Plasma Physics · Physics 2026-01-06 Igor Kaganovich , Michael Tendler

Due to the processes that occur during the functioning of modern electromechanical systems, these systems can be considered complex nonlinear dynamic systems from the point of view of the theory of dynamic systems. The movement of such…

Optimization and Control · Mathematics 2024-12-10 Roman Voliansky

The out-of-equilibrium mean-field dynamics of a model for wave-particle interaction is investigated. Such a model can be regarded as a general formulation for all those applications where the complex interplay between particles and fields…

Plasma Physics · Physics 2015-03-13 Pierre de Buyl , Duccio Fanelli , Romain Bachelard , Giovanni De Ninno

The analysis and modelling of a range of plasmas (for example: astrophysical, laser-produced and fusion), require atomic data for a number of parameters, such as energy levels, radiative rates and electron impact excitation rates, or…

Atomic Physics · Physics 2017-10-09 K. M. Aggarwal

The dynamics of colloidal particles in potential energy landscapes have mainly been investigated theoretically. In contrast, here we discuss the experimental realization of potential energy landscapes with the help of light fields and the…

In strong electromagnetic fields, unique plasma phenomena and applications emerge, whose description requires recently developed theories and simulations [Y. Shi, Ph.D. thesis, Princeton University (2018)]. In the classical regime, to…

Plasma Physics · Physics 2021-04-21 Yuan Shi , Hong Qin , Nathaniel J. Fisch
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