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For steady-state and some other types of mechanical waves of an arbitrary form, intensity and nature, propagating in a free uniform waveguide, we present the following. Relations for the axial momentum as it directly follows from the…

General Physics · Physics 2016-05-17 Leonid I. Slepyan

The wave-particle duality is one of the most mysterious phenomena of the quantum theory, in this paper first it's studied the rise of the wave properties of matter from the theory of stochastic electrodynamics (SED), in which de Broglie's…

Quantum Physics · Physics 2014-03-04 Cesar A. Díaz Hernández

A comprehensive review is given of the various processes proposed for accelerating particles by shocks to high energies. These energies are limited by several bounds: the non-relativistic nature of the heliospheric collisionless shocks to…

Astrophysics · Physics 2008-06-26 R. A. Treumann , C. H. Jaroschek

When waves damp or amplify on resonant particles in a plasma, the nonresonant particles experience a recoil force that conserves the total momentum between the particles and electromagnetic fields. This force is important to understand, as…

Plasma Physics · Physics 2023-02-23 I. E. Ochs , N. J. Fisch

We present the shock-free wave propagation requirements for massless fields. First, we briefly argue how the "completely exceptional" approach, originally developed to study the characteristics of hyperbolic systems in 1+1 dimensions, can…

Mathematical Physics · Physics 2009-09-11 J. McCarthy , O. Sarioglu

We present evidence that relativistic shocks propagating in unmagnetized plasmas can self-consistently accelerate particles. We use long-term two-dimensional particle-in-cell simulations to study the well-developed shock structure in…

Astrophysics · Physics 2009-11-13 Anatoly Spitkovsky

We investigate the propagation of electromagnetic waves in resistive pair plasmas using a onefluid theory derived from the relativistic two-fluid equations. When the resistivity normalized by the electron/positron inertia variable exceeds a…

Plasma Physics · Physics 2009-11-13 Shinji Koide

Particle acceleration at astrophysical shocks may be very efficient if magnetic scattering is self-generated by the same particles. This nonlinear process adds to the nonlinear modification of the shock due to the dynamical reaction of the…

Astrophysics · Physics 2009-11-11 Elena Amato , Pasquale Blasi

The aim is to assess the combined effect of diffusion and dispersion on shocks in the moderate dispersion regime. For a diffusive dispersive approximation of the equations of one-dimensional elasticity (or p-system), we study convergence of…

Analysis of PDEs · Mathematics 2023-01-03 Daria Bolbot , Dimitrios Mitsotakis , Athanasios E. Tzavaras

We demonstrate that trapping of dispersive waves between two optical solitons takes place when resonant scattering of the waves on the solitons leads to nearly perfect reflections. The momentum transfer from the radiation to solitons…

Optics · Physics 2016-12-21 A. V. Yulin , R. Driben , B. A. Malomed , D. V. Skryabin

We consider Kolmogorov--Petrovskii--Piscounov (KPP) type models in the presence of a discontinuous cut-off in reaction rate at concentration $u=u_c$. In Part I we examine permanent form travelling wave solutions (a companion paper, Part II,…

Analysis of PDEs · Mathematics 2020-09-07 A D O Tisbury , D J Needham , A Tzella

Observations of powerful radio waves from neutron star magnetospheres raise the question of how strong waves interact with particles in a strong background magnetic field $B_{bg}$. This problem is examined by solving the particle motion in…

High Energy Astrophysical Phenomena · Physics 2022-07-13 Andrei M. Beloborodov

Using a two-fluid approach, we consider the properties of relativistically nonlinear (arbitrary $a_0$), circularly polarized \EM\ waves propagating along magnetic field in electron-ion and pair plasmas. Dispersion relations depend on how…

High Energy Astrophysical Phenomena · Physics 2026-04-15 Maxim Lyutikov

The relativistic two-body problem is considered for spinless particles subject to an external macroscopic electromagnetic field. When this field is made of the monochromatic superposition of two counter-propagating plane waves (and provided…

High Energy Physics - Theory · Physics 2016-05-27 Philippe Droz-Vincent

In recent years, there has been considerable interest in understanding the motion in Hamiltonian systems when phase space is divided into stochastic and integrable regions. This paper studies one aspect of this problem, namely, the motion…

Chaotic Dynamics · Physics 2007-05-23 Charles F. F. Karney

This paper extends the models of Craig & McClymont (1991) and McLaughlin & Hood (2004) to include finite $\beta$ and nonlinear effects. We investigate the nature of nonlinear fast magnetoacoustic waves about a 2D magnetic X-point. We solve…

Solar and Stellar Astrophysics · Physics 2009-01-23 J. A. McLaughlin , I. De Moortel , A. W. Hood , C. S. Brady

This paper presents numerical simulations of test particle Fermi acceleration at relativistic shocks of Lorentz factor Gamma_sh = 2-60, using a realistic downstream magnetic structure obtained from the shock jump conditions. The upstream…

Astrophysics · Physics 2009-11-13 Martin Lemoine , Benoit Revenu

In the present work we study acceleration waves in plate-like bodies using the balance laws for the time-dependent von Karman equations presented in [P. A. Djondjorov and V. M. Vassilev, Conservation Laws and Group-Invariant Solutions of…

Mathematical Physics · Physics 2007-05-23 Peter A. Djondjorov , Vassil M. Vassilev

We study the resonant interaction of charged particles with a gravitational wave propagating in the non-empty interstellar space in the presence of a uniform magnetic field. It is found that this interaction can be cast in the form of a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 K. Kleidis , H. Varvoglis , D. B. Papadopoulos

It has been shown earlier that matter waves which are known to lie typically in the range of a few Angstrom, can also manifest in the macrodomain with a wave length of a few centimeters, for electrons propagating along a magnetic field.…

Quantum Physics · Physics 2015-06-26 Ram K. Varma
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