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Super-bubbles are shells in the interstellar medium produced by the simultaneous explosions of many supernova remnants. The solutions of the mathematical diffusion and of the Fourier expansion in 1D, 2D and 3D were deduced in order to…

Astrophysics · Physics 2011-09-20 Lorenzo Zaninetti

Giant molecular clouds contain supersonic turbulence and simulations of magnetohydrodynamic turbulence show that these supersonic motions decay in roughly a crossing time, which is less than the estimated lifetimes of molecular clouds. Such…

Astrophysics of Galaxies · Physics 2012-07-13 A. Pon , D. Johnstone , M. J. Kaufman

The observation of the diffuse Galactic gamma ray flux is the most powerful tool to study cosmic rays in different regions of the Galaxy, because the energy and angular distributions of the photons encode information about the density and…

High Energy Astrophysical Phenomena · Physics 2018-08-15 Paolo Lipari , Silvia Vernetto

The chemistry of molecular clouds has been studied for decades, with an increasingly general and sophisticated treatment of the reactions involved. Yet the treatment of turbulent diffusion has remained extremely sketchy, assuming simple…

Astrophysics · Physics 2009-06-23 G. Marschalko , K. Petrovay , E. Forgacs-Dajka

We present an analytic solution to diffusion equation for high energy cosmic rays in the expanding universe. The particles are assumed to be ultra-relativistic and they can have energy losses arbitrarily dependent on energy and time. The…

Astrophysics · Physics 2009-11-13 V. Berezinsky , A. Z. Gazizov

The propagation of charged particles, including cosmic rays, in a partially ordered magnetic field is characterized by a diffusion tensor whose components depend on the particle's Larmor radius $R_L$ and the degree of order in the magnetic…

High Energy Astrophysical Phenomena · Physics 2016-03-04 A. P. Snodin , A. Shukurov , G. R. Sarson , P. J. Bushby , L. F. S. Rodrigues

We present a comprehensive study about the phenomenological implications of the theory describing Galactic cosmic-ray scattering onto magnetosonic and Alfv\'enic fluctuations in the $\mathrm{GeV} - \mathrm{PeV}$ domain. We compute a set of…

High Energy Astrophysical Phenomena · Physics 2021-02-17 Ottavio Fornieri , Daniele Gaggero , Silvio Sergio Cerri , Pedro De la Torre Luque , Stefano Gabici

A proper modelling of the cosmic-ray ionisation rate within gas clouds is crucial to describe their chemical evolution accurately. However, this modelling is computationally demanding because it requires the propagation of cosmic rays…

Astrophysics of Galaxies · Physics 2025-07-08 G. Latrille , A. Lupi , S. Bovino , T. Grassi , G. Sabatini , M. Padovani

We study diffusion of Cosmic Rays (CRs) in turbulent magnetic fields using test particle simulations. Electromagnetic fields are produced in direct numerical MHD simulations of turbulence and used as an input for particle tracing, particle…

Astrophysics of Galaxies · Physics 2015-05-18 A. Beresnyak , H. Yan , A. Lazarian

We consider the astrophysical implications of the diffusion equation solution for Ultra-High Energy Cosmic Rays (UHECR) in the expanding universe, obtained in paper I (V.Berezinsky & A.Gazizov, ApJ 643 (2006) 8). The UHECR spectra are…

Astrophysics · Physics 2009-03-19 V. Berezinsky , A. Z. Gazizov

Cosmic rays are thought to escape their sources streaming along the local magnetic field lines. We show that this phenomenon generally leads to the excitation of both resonant and non-resonant streaming instabilities. The self-generated…

High Energy Astrophysical Phenomena · Physics 2022-03-02 Benedikt Schroer , Oreste Pezzi , Damiano Caprioli , Colby Haggerty , Pasquale Blasi

More than 100 years after the discovery of cosmic rays and various experimental efforts, the origin of ultra-high energy cosmic rays (E > 100 PeV) remains unclear. The understanding of production and propagation effects of these highest…

High Energy Astrophysical Phenomena · Physics 2014-09-23 Daniel Kuempel

We obtain the angular distribution of the cosmic rays reaching an observer from an individual source and after propagation through a turbulent magnetic field, for different ratios between the source distance and the diffusion length. We…

High Energy Astrophysical Phenomena · Physics 2016-03-23 Diego Harari , Silvia Mollerach , Esteban Roulet

The analytical theory of diffusive cosmic ray acceleration at parallel stationary shock waves with magnetostatic turbulence is generalized to arbitrary shock speeds $V_s=\beta_1c$, including in particular relativistic speeds. This is…

High Energy Astrophysical Phenomena · Physics 2015-08-19 Reinhard Schlickeiser

Propagation of energetic particles across the mean field direction in turbulent magnetic fields is often described as spatial diffusion. Recently, it has been suggested that initially the particles propagate systematically along meandering…

Space Physics · Physics 2017-06-22 T. Laitinen , S. Dalla , D. Marriott

We consider the propagation of galactic cosmic rays under assumption that the interstellar medium is a fractal one. An anomalous diffusion equation in terms of fractional derivatives is used to describe of cosmic ray propagation. The…

Astrophysics · Physics 2007-05-23 A. A. Lagutin , V. V. Uchaikin

Molecular clouds are expected to emit non-thermal radiation due to cosmic ray interactions in the dense magnetized gas. Such emission is amplified if a cloud is located close to an accelerator of cosmic rays and if cosmic rays can leave the…

Astrophysics · Physics 2009-11-13 Stefano Gabici , Sabrina Casanova , Felix A. Aharonian

We discuss the basic features of the propagation of Ultra High Energy Cosmic Rays in astrophysical backgrounds, comparing two alternative computation schemes to compute the expected fluxes. We also discuss the issue of the transition among…

High Energy Astrophysical Phenomena · Physics 2013-06-28 Roberto Aloisio

Cosmic rays (CRs) may be used to infer properties of intervening cosmic magnetic fields. Conversely, understanding the effects of magnetic fields on the propagation of high-energy CRs is crucial to elucidate their origin. In the present…

High Energy Astrophysical Phenomena · Physics 2018-11-08 R. Alves Batista , E. M. de Gouveia Dal Pino , K. Dolag , S. Hussain

The study of high-energy gamma rays from passive Giant Molecular Clouds (GMCs) in our Galaxy is an indirect way to characterize and probe the paradigm of the "sea" of cosmic rays in distant parts of the Galaxy. By using data from the High…

High Energy Astrophysical Phenomena · Physics 2021-06-30 A. Albert , R. Alfaro , C. Alvarez , J. R. Angeles Camacho , J. C. Arteaga-Velázquez , K. P. Arunbabu , D. Avila Rojas , H. A. Ayala Solares , V. Baghmanyan , E. Belmont-Moreno , S. Y. BenZvi , C. Brisbois , K. S. Caballero-Mora , T. Capistrán , A. Carramiñana , S. Casanova , U. Cotti , J. Cotzomi , S. Coutiño de León , E. De la Fuente , R. Diaz Hernandez , B. L. Dingus , M. A. DuVernois , M. Durocher , J. C. Díaz-Vélez , R. W. Ellsworth , K. Engel , C. Espinoza , K. L. Fan , M. Fernández Alonso , N. Fraija , A. Galván-Gámez , D. Garcia , J. A. García-González F. Garfias M. M. González , J. A. Goodman , J. P. Harding , S. Hernandez , B. Hona , D. Huang , F. Hueyotl-Zahuantitla , P. Hüntemeyer , A. Iriarte , V. Joshi , D. Kieda , A. Lara , W. H. Lee , J. Lee , H. León Vargas , J. T. Linnemann , A. L. Longinotti , G. Luis-Raya , J. Lundeen , K. Malone , O. Martinez , J. Martínez-Castro , J. A. Matthews , P. Miranda-Romagnoli , J. A. Morales-Soto , E. Moreno , M. Mostafá , A. Nayerhoda , L. Nellen , M. Newbold , M. U. Nisa , R. Noriega-Papaqui , N. Omodei , A. Peisker , Y. Pérez Araujo , E. G. Pérez-Pérez , C. D. Rho , D. Rosa-González , E. Ruiz-Velasco , F. Salesa Greus , A. Sandoval , M. Schneider , J. Serna-Franco , A. J. Smith , R. W. Springer , P. Surajbali , M. Tanner , K. Tollefson , I. Torres , R. Torres-Escobedo , R. Turner , F. Ureña-Mena , L. Villaseñor , T. Weisgarber , E. Willox , H. Zhou , C. de León