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The asymptotic analysis of kinetic models describing the behavior of particles interacting through alignment is performed. We will analyze the asymptotic regime corresponding to large alignment frequency where the alignment effects are…

Analysis of PDEs · Mathematics 2017-01-16 M. Bostan , J. A. Carrillo

The theory of diffusive particle acceleration explains the spectral properties of the cosmic rays below energies of approx. 10^6 GeV as produced at strong shocks in supernova remnants (SNR's). To supply the observed flux of cosmic rays, a…

Astrophysics · Physics 2007-05-23 U. D. J. Gieseler , T. W. Jones , Hyesung Kang

The AMS experiment on the International Space Station has provided detailed cosmic ray spectra for various elements, revealing that interactions significantly reduce fluxes up to about 100 GV rigidity. This necessitates revisiting current…

High Energy Astrophysical Phenomena · Physics 2024-08-22 M. Allen , P. L. Biermann , A. Chieffi , D. Frekers , L. Gergely , B. Harms , I. Jaroschewski , P. S. Joshi , P. P. Kronberg , E. Kun , A. Meli , E. -S. Seo , T. Stanev

Fermi acceleration is the process of energy transfer from massive objects in slow motion to light objects that move fast. The model for such process is a time-dependent Hamiltonian system. As the parameters of the system change with time,…

Chaotic Dynamics · Physics 2015-06-23 Tiago Pereira , Dmitry Turaev

The acceleration of charged particles at astrophysical collisionless shock waves is one of the best studied processes for the energization of particles to ultrarelativistic energies, required by multifrequency observations in a variety of…

Astrophysics · Physics 2009-11-10 Pasquale Blasi

The superscaling observed in inclusive electron scattering is described within the dilute Fermi gas model with interaction between the particles. The comparison with the relativistic Fermi gas (RFG) model without interaction shows an…

Nuclear Theory · Physics 2008-11-26 A. N. Antonov , M. V. Ivanov , M. K. Gaidarov , E. Moya de Guerra

The description of Fermi acceleration developing in the phase-randomized simplified Fermi-Ulam model (SFUM) can be achieved in terms of a random walk taking place in momentum space. Within this framework the evolution of the probability…

Chaotic Dynamics · Physics 2011-02-09 A. K. Karlis , F. K. Diakonos , V. Constantoudis , P. Schmelcher

We observe dramatic changes in the atomic momentum distribution of a Fermi gas in the region of the BCS-BEC crossover. We study the shape of the momentum distribution and the kinetic energy as a function of interaction strength. The…

Other Condensed Matter · Physics 2009-11-11 C. A. Regal , M. Greiner , S. Giorgini , M. Holland , D. S. Jin

As a prototypical massive field theory we study the scalar field on the recently introduced Finsler spacetimes. We show that particle excitations exist that propagate faster than the speed of light recognized as the boundary velocity of…

General Relativity and Quantum Cosmology · Physics 2012-05-23 Christian Pfeifer , Mattias N. R. Wohlfarth

These notes present the fundamentals of Fermi acceleration at shocks, with a special attention to the role that supernova remnants have in producing Galactic cosmic rays. Then, the recent discoveries in the theory of diffusive shock…

High Energy Astrophysical Phenomena · Physics 2023-10-09 Damiano Caprioli

Particle collisions are considered within the context of $f(R)$ gravity described by $f(R)=R+2\alpha\sqrt{R}$, where $R$ stands for the Ricci scalar and $\alpha$ is a non-zero constant. The center of mass (CM) energy of head-on colliding…

General Relativity and Quantum Cosmology · Physics 2017-11-16 M. Halilsoy , A. Ovgun

Observational and theoretical evidence suggest that beams of accelerated particles are produced in flaring events of all sizes in the solar atmosphere, from X-class flares to nanoflares. Current models of these types of particles in flaring…

Solar and Stellar Astrophysics · Physics 2020-10-28 L. Frogner , B. V. Gudiksen , H. Bakke

We present a simple higher dimensional FRW type of model where the acceleration is apparently caused by the presence of the extra dimensions. Assuming an ansatz in the form of the deceleration parameter we get a class of solutions some of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. Chatterjee , A. Banerjee , Y. Z. Zhang

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

Relativistic particle acceleration in collisionless shocks of supernova remnants is accompanied by magnetic field amplification from cosmic ray (CR) driven plasma instabilities. Bell's fast CR-current instability is predicted to produce…

High Energy Astrophysical Phenomena · Physics 2020-01-08 Sergei M Osipov , Andrei M Bykov , Donald C Ellison

First-order Fermi acceleration process at a relativistic shock wave is investigated by means of Monte Carlo simulations involving numerical integration of particle equations of motion in a turbulent magnetic field near the shock. In…

Astrophysics · Physics 2007-05-23 Jacek Niemiec , Michal Ostrowski

3D Magnetohydrodynamic (MHD) resistive simulations have highlighted the significance of ubiquitous turbulence to drive fast reconnection. It has been demonstrated that particle acceleration via reconnection in 3D magnetized flows, where…

High Energy Astrophysical Phenomena · Physics 2025-04-08 E. M. de Gouveia Dal Pino , J. C. Ramirez-Rodriguez , T. Medina-Torrejon , G. H. Vicentin , L. Passos Reis

A leading candidate for the extragalactic source of high energy cosmic rays is the Fermi engine mechanism, in which protons confined by magnetic fields are accelerated to very high energy through repeated scattering by plasma shock fronts.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Luis A. Anchordoqui , Haim Goldberg , Francis Halzen , Thomas J. Weiler

We derive an upper limit to the energy of nuclei accelerated via the Fermi mechanism in any relativistic shockwave, driven by any astrophysical engine. This bound is accessible to current and upcoming ultra-high energy neutrino experiments.…

High Energy Astrophysical Phenomena · Physics 2011-03-11 Todd A. Thompson , Brian C. Lacki

Processes driven by unsteady reconnection can efficiently accelerate particles in many astrophysical plasmas. An example are the reconnection jet fronts in an outflow region. We present evidence of suprathermal ion acceleration between two…

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