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Asymptotic decay laws for planar and nonplanar shock waves and the first order associated discontinuities that catch up with the shock from behind are obtained using four different approximation methods. The singular surface theory is used…

Analysis of PDEs · Mathematics 2014-04-14 Vishnu D. Sharma , Raghavendra Venkatraman

Fractional differential approach to cosmic ray physics problems is discussed. A short review in this field is given, some results are represented, analyzed and criticized. A new model called the bounded anomalous diffusion model is offered.…

Astrophysics of Galaxies · Physics 2015-03-19 Vladimir V. Uchaikin , Renat T. Sibatov

Cosmic rays accelerated by a shock form a streaming distribution of outgoing particles in the foreshock region. If the ambient fields are negligible compared to the shock and cosmic ray energetics, a stronger magnetic field can be generated…

Astrophysics · Physics 2011-02-11 Mikhail V. Medvedev , Olga V. Zakutnyaya

A box model is used to study first order Fermi acceleration driven by magnetic reconnection. It is shown, at least in this simple model, that the spectral index of the accelerated particles is related to the total compression in the same…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Luke O'C. Drury

The acceleration of ultra high energy cosmic rays is conjectured to occur through various interactions with the electromagnetic fields in different astrophysical objects, like magnetic matter clumps, besides the well-known shock and…

High Energy Astrophysical Phenomena · Physics 2014-03-18 A. Tawfik , A. Saleh , M. T. Ghoneim , A. A. Hady

During the formation of large-scale structures in the universe, weak internal shocks are induced within the hot ICM, while strong accretion shocks arise in the WHIM within filaments, and the warm-cold gas in voids surrounding galaxy…

High Energy Astrophysical Phenomena · Physics 2024-09-30 Hyesung Kang

We investigate the process of particle acceleration at the termination shock that develops in the bubble excavated by winds of star clusters in the interstellar medium. We develop a theory of diffusive shock acceleration at such shock and…

High Energy Astrophysical Phenomena · Physics 2021-08-05 Giovanni Morlino

A new analytic solution for 2nd-order Fermi acceleration is presented. In particular, we consider time-dependent rates for stochastic acceleration, diffusive and convective escape as well as adiabatic losses. The power law index q of the…

High Energy Astrophysical Phenomena · Physics 2011-12-13 Philipp Mertsch

Diffusive shock acceleration (DSA) of particles at collisionless shocks is the major accepted paradigm about the origin of cosmic rays (CRs). As a theory it was developed during the late 1970s in the so-called test-particle case. If one…

High Energy Astrophysical Phenomena · Physics 2023-10-03 Bojan Arbutina

We simulate the acceleration processes of collisionless particles in a shock structure with magnetohydrodynamical (MHD) fluctuations. The electromagnetic field is represented as a sum of MHD shock solution ($\Mag_0, \Ele_0$) and torsional…

Astrophysics · Physics 2009-11-13 Takayuki Muranushi , Shu-ichiro Inutsuka

There are two distinct regimes of the first order Fermi acceleration at shocks. The first is a linear (test particle) regime in which most of the shock energy goes into thermal and bulk motion of the plasma. The second is an efficient…

Astrophysics · Physics 2009-10-31 M. A. Malkov , P. H. Diamond , H. J. Voelk

We consider the acceleration of charged particles at the ultra-relativistic shocks, with Lorentz factors \Gamma_s >> 1 relative to the upstream medium, arising in relativistic fireball models of gamma-ray bursts (GRBs). We show that for…

Astrophysics · Physics 2009-10-31 Yves A. Gallant , Abraham Achterberg

Cosmic Ray (CR) acceleration still challenges the researchers. Fast particles may be accelerated in astrophysical environments by a variety of processes. Acceleration in magnetic reconnection sites in particular, has lately attracted the…

High Energy Astrophysical Phenomena · Physics 2014-01-21 Elisabete M. de Gouveia Dal Pino , Grzegorz Kowal , Alex Lazarian

A new condition for the linear dissipative instability of the strong plane shock wave in an arbitrary medium is obtained. The instability of the shock is realized due to the flow instability behind its front, which is similar to the known…

Fluid Dynamics · Physics 2020-06-24 Sergey G. Chefranov

We simulate time-dependent particle acceleration in the blast wave of a young supernova remnant (SNR), using a Monte Carlo approach for the diffusion and acceleration of the particles, coupled to an MHD code. We calculate the distribution…

High Energy Astrophysical Phenomena · Physics 2015-05-18 K. M. Schure , A. Achterberg , R. Keppens , Jacco Vink

The problem of the cosmic ray origin is discussed in connection with their acceleration in supernova remnant shocks. The diffusive shock acceleration mechanism is reviewed and its potential to accelerate particles to the maximum energy of…

Astrophysics · Physics 2007-05-23 P. H. Diamond , M. A. Malkov

The self-consistent interaction between energetic particles and self-generated hydromagnetic waves in a cosmic-ray pressure dominated plasma is considered. Using a three-dimensional hybrid MHD-kinetic code, which utilises a spherical…

High Energy Astrophysical Phenomena · Physics 2015-06-12 B. Reville , A. R. Bell

We present a theory for the generation of mesoscale ($kr_{g}\ll 1$, where $r_{g}$ is the cosmic ray gyroradius) magnetic fields during diffusive shock acceleration. The decay or modulational instability of resonantly excited Alfven waves…

Astrophysics · Physics 2008-11-26 P. H. Diamond , M. A. Malkov

Turbulent magnetic fields are to some extent a universal feature in astrophysical phenomena. Charged particles that encounter these turbulence get on average accelerated according to the so-called second-order Fermi process. However, in…

High Energy Astrophysical Phenomena · Physics 2024-11-25 Dominik Walter , Björn Eichmann

We investigate shock acceleration in a realistic astrophysical environment with density inhomogeneities. The turbulence induced by the interaction of the shock precursor with upstream density fluctuations amplifies both upstream and…

High Energy Astrophysical Phenomena · Physics 2022-02-02 Siyao Xu , Alex Lazarian