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A model is introduced, in which the irregularity spectrum of the Galactic magnetic field beyond the dissipation length scale is first a Kolmogorov spectrum $k^{-5/3}$ at small scales $\lambda \, = \, 2 \pi/k$ with $k$ the wave-number, then…

High Energy Astrophysical Phenomena · Physics 2015-11-16 P. L. Biermann , L. I. Caramete , A. Meli , B. N. Nath , E. -S. Seo , V. de Souza , J. Becker Tjus

The origin of cosmic rays (CRs) and how they propagate remain unclear. Studying the propagation of CRs in magnetohydrodynamic (MHD) turbulence can help to comprehend many open issues related to CR origin and the role of turbulent magnetic…

High Energy Astrophysical Phenomena · Physics 2025-01-10 Na-Na Gao , Jian-Fu Zhang

A crucial process in Galactic cosmic-ray (CR) transport is the spatial diffusion due to the interaction with the interstellar turbulent magnetic field. Usually, CR diffusion is assumed to be uniform and isotropic all across the Galaxy.…

High Energy Astrophysical Phenomena · Physics 2017-10-25 Silvio Sergio Cerri , Daniele Gaggero , Andrea Vittino , Carmelo Evoli , Dario Grasso

According to the cosmological principle, the Universe should appear isotropic, without any preferred directions, to an observer whom we may consider to be fixed in the co-moving co-ordinate system of the expanding Universe. Such an observer…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-11 Ashok K. Singal

We analyze the anisotropy signature expected if the high energy (above $10^{19}$eV) cosmic ray (CR) sources are extra-Galactic and trace the distribution of luminous matter on large scales. We investigate the dependence of the anisotropy on…

Astrophysics · Physics 2009-10-28 Eli Waxman , Karl B. Fisher , Tsvi Piran

An observer stationary with respect to comoving coordinates of the expanding universe should find the redshift distribution to be isotropic. However, a peculiar motion of the observer would introduce a dipole anisotropy in the observed…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-15 Ashok K. Singal

The Pierre Auger Collaboration has reported evidence for anisotropy in the distribution of arrival directions of the cosmic rays with energies $E>E_{th}=5.5\times 10^{19}$ eV. These show a correlation with the distribution of nearby…

High Energy Astrophysical Phenomena · Physics 2014-07-03 The Pierre Auger Collaboration , P. Abreu , M. Aglietta , E. J. Ahn , I. F. M. Albuquerque , D. Allard , I. Allekotte , J. Allen , P. Allison , J. Alvarez Castillo , J. Alvarez-Muñiz , M. Ambrosio , A. Aminaei , L. Anchordoqui , S. Andringa , T. Antičić , A. Anzalone , C. Aramo , E. Arganda , F. Arqueros , H. Asorey , P. Assis , J. Aublin , M. Ave , M. Avenier , G. Avila , T. Bäcker , M. Balzer , K. B. Barber , A. F. Barbosa , R. Bardenet , S. L. C. Barroso , B. Baughman , J. Bäuml , J. J. Beatty , B. R. Becker , K. H. Becker , A. Bellétoile , J. A. Bellido , S. BenZvi , C. Berat , X. Bertou , P. L. Biermann , P. Billoir , F. Blanco , M. Blanco , C. Bleve , H. Blümer , M. Boháčová , D. Boncioli , C. Bonifazi , R. Bonino , N. Borodai , J. Brack , P. Brogueira , W. C. Brown , R. Bruijn , P. Buchholz , A. Bueno , R. E. Burton , K. S. Caballero-Mora , L. Caramete , R. Caruso , A. Castellina , O. Catalano , G. Cataldi , L. Cazon , R. Cester , J. Chauvin , S. H. Cheng , A. Chiavassa , J. A. Chinellato , A. Chou , J. Chudoba , R. W. Clay , M. R. Coluccia , R. Conceição , F. Contreras , H. Cook , M. J. Cooper , J. Coppens , A. Cordier , U. Cotti , S. Coutu , C. E. Covault , A. Creusot , A. Criss , J. Cronin , A. Curutiu , S. Dagoret-Campagne , R. Dallier , S. Dasso , K. Daumiller , B. R. Dawson , R. M. de Almeida , M. De Domenico , C. De Donato , S. J. de Jong , G. De La Vega , W. J. M. de Mello Junior , J. R. T. de Mello Neto , I. De Mitri , V. de Souza , K. D. de Vries , G. Decerprit , L. del Peral , O. Deligny , H. Dembinski , N. Dhital , C. Di Giulio , J. C. Diaz , M. L. Díaz Castro , P. N. Diep , C. Dobrigkeit , W. Docters , J. C. D'Olivo , P. N. Dong , A. Dorofeev , J. C. dos Anjos , M. T. Dova , D. D'Urso , I. Dutan , J. Ebr , R. Engel , M. Erdmann , C. O. Escobar , A. Etchegoyen , P. Facal San Luis , I. Fajardo Tapia , H. Falcke , G. Farrar , A. C. Fauth , N. Fazzini , A. P. Ferguson , A. Ferrero , B. Fick , A. Filevich , A. Filipčič , S. Fliescher , C. E. Fracchiolla , E. D. Fraenkel , U. Fröhlich , B. Fuchs , R. Gaior , R. F. Gamarra , S. Gambetta , B. García , D. García Gámez , D. Garcia-Pinto , A. Gascon , H. Gemmeke , K. Gesterling , P. L. Ghia , U. Giaccari , M. Giller , H. Glass , M. S. Gold , G. Golup , F. Gomez Albarracin , M. Gómez Berisso , P. Gonçalves , D. Gonzalez , J. G. Gonzalez , B. Gookin , D. Góra , A. Gorgi , P. Gouffon , S. R. Gozzini , E. Grashorn , S. Grebe , N. Griffith , M. Grigat , A. F. Grillo , Y. Guardincerri , F. Guarino , G. P. Guedes , A. Guzman , J. D. Hague , P. Hansen , D. Harari , S. Harmsma , J. L. Harton , A. Haungs , T. Hebbeker , D. Heck , A. E. Herve , C. Hojvat , N. Hollon , V. C. Holmes , P. Homola , J. R. Hörandel , A. Horneffer , M. Hrabovský , T. Huege , A. Insolia , F. Ionita , A. Italiano , C. Jarne , S. Jiraskova , K. Kadija , K. H. Kampert , P. Karhan , P. Kasper , B. Kégl , B. Keilhauer , A. Keivani , J. L. Kelley , E. Kemp , R. M. Kieckhafer , H. O. Klages , M. Kleifges , J. Kleinfeller , J. Knapp , D. -H. Koang , K. Kotera , N. Krohm , O. Krömer , D. Kruppke-Hansen , F. Kuehn , D. Kuempel , J. K. Kulbartz , N. Kunka , G. La Rosa , C. Lachaud , P. Lautridou , M. S. A. B. Leão , D. Lebrun , P. Lebrun , M. A. Leigui de Oliveira , A. Lemiere , A. Letessier-Selvon , I. Lhenry-Yvon , K. Link R. López , A. Lopez Agüera , K. Louedec , J. Lozano Bahilo , A. Lucero , M. Ludwig , H. Lyberis , M. C. Maccarone , C. Macolino , S. Maldera , D. Mandat , P. Mantsch , A. G. Mariazzi , J. Marin , V. Marin , I. C. Maris , H. R. Marquez Falcon , G. Marsella , D. Martello , L. Martin , H. Martinez , O. Martínez Bravo , H. J. Mathes , J. Matthews , J. A. J. Matthews , G. Matthiae , D. Maurizio , P. O. Mazur , G. Medina-Tanco , M. Melissas , D. Melo , E. Menichetti , A. Menshikov , P. Mertsch , C. Meurer , S. Mićanović , M. I. Micheletti , W. Miller , L. Miramonti , S. Mollerach , M. Monasor , D. Monnier Ragaigne , F. Montanet , B. Morales , C. Morello , E. Moreno , J. C. Moreno , C. Morris , M. Mostafá , C. A. Moura , S. Mueller , M. A. Muller , G. Müller , M. Münchmeyer , R. Mussa , G. Navarra , J. L. Navarro , S. Navas , P. Necesal , L. Nellen , A. Nelles , P. T. Nhung , L. Niemietz , N. Nierstenhoefer , D. Nitz , D. Nosek , L. Nožka , M. Nyklicek , J. Oehlschläger , A. Olinto , P. Oliva , V. M. Olmos-Gilbaja , M. Ortiz , N. Pacheco , D. Pakk Selmi-Dei , M. Palatka , J. Pallotta , N. Palmieri , G. Parente , E. Parizot , A. Parra , R. D. Parsons , S. Pastor , T. Paul , M. Pech , J. Pȩkala , R. Pelayo , I. M. Pepe , L. Perrone , R. Pesce , E. Petermann , S. Petrera , P. Petrinca , A. Petrolini , Y. Petrov , J. Petrovic , C. Pfendner , N. Phan , R. Piegaia , T. Pierog , P. Pieroni , M. Pimenta , V. Pirronello , M. Platino , V. H. Ponce , M. Pontz , P. Privitera , M. Prouza , E. J. Quel , S. Querchfeld , J. Rautenberg , O. Ravel , D. Ravignani , B. Revenu , J. Ridky , S. Riggi , M. Risse , P. Ristori , H. Rivera , V. Rizi , J. Roberts , C. Robledo , W. Rodrigues de Carvalho , G. Rodriguez , J. Rodriguez Martino , J. Rodriguez Rojo , I. Rodriguez-Cabo , M. D. Rodríguez-Frías , G. Ros , J. Rosado , T. Rossler , M. Roth , B. Rouillé-d'Orfeuil , E. Roulet , A. C. Rovero , C. Rühle , F. Salamida , H. Salazar , G. Salina , F. Sánchez , M. Santander , C. E. Santo , E. Santos , E. M. Santos , F. Sarazin , B. Sarkar , S. Sarkar , R. Sato , N. Scharf , V. Scherini , H. Schieler , P. Schiffer , A. Schmidt , F. Schmidt , T. Schmidt , O. Scholten , H. Schoorlemmer , J. Schovancova , P. Schovánek , F. Schröder , S. Schulte , D. Schuster , S. J. Sciutto , M. Scuderi , A. Segreto , M. Settimo , A. Shadkam , R. C. Shellard , I. Sidelnik , G. Sigl , H. H. Silva Lopez , A. Śmiałkowski , R. Šmída , G. R. Snow , P. Sommers , J. Sorokin , H. Spinka , R. Squartini , J. Stapleton , J. Stasielak , M. Stephan , E. Strazzeri , A. Stutz , F. Suarez , T. Suomijärvi , A. D. Supanitsky , T. Šuša , M. S. Sutherland , J. Swain , Z. Szadkowski , M. Szuba , A. Tamashiro , A. Tapia , M. Tartare , O. Taşcău , C. G. Tavera Ruiz , R. Tcaciuc , D. Tegolo , N. T. Thao , D. Thomas , J. Tiffenberg , C. Timmermans , D. K. Tiwari , W. Tkaczyk , C. J. Todero Peixoto , B. Tomé , A. Tonachini , P. Travnicek , D. B. Tridapalli , G. Tristram , E. Trovato , M. Tueros , R. Ulrich , M. Unger , M. Urban , J. F. Valdés Galicia , I. Valiño , L. Valore , A. M. van den Berg , E. Varela , B. Vargas Cárdenas , J. R. Vázquez , R. A. Vázquez , D. Veberič , V. Verzi , J. Vicha , M. Videla , L. Villaseñor , H. Wahlberg , P. Wahrlich , O. Wainberg , D. Warner , A. A. Watson , M. Weber , K. Weidenhaupt , A. Weindl , S. Westerhoff , B. J. Whelan , G. Wieczorek , L. Wiencke , B. Wilczyńska , H. Wilczyński , M. Will , C. Williams , T. Winchen , L. Winders , M. G. Winnick , M. Wommer , B. Wundheiler , T. Yamamoto , T. Yapici , P. Younk , G. Yuan , A. Yushkov , B. Zamorano , E. Zas , D. Zavrtanik , M. Zavrtanik , I. Zaw , A. Zepeda , M. Ziolkowski

It is generally accepted that the observed CMBR dipole arises from the motion of the local group relative to the CMBR frame. An alternative interpretation is that the dipole results from an ultra-large scale ($\lambda > 100 c/H_0)$…

Astrophysics · Physics 2009-10-28 David Langlois , Tsvi Piran

Cosmic rays (CRs) leave their sources mainly along the local magnetic field; in doing so they excite both resonant and nonresonant modes through streaming instabilities. The excitation of these modes leads to enhanced scattering and in turn…

High Energy Astrophysical Phenomena · Physics 2021-06-10 Benedikt Schroer , Oreste Pezzi , Damiano Caprioli , Colby Haggerty , Pasquale Blasi

Our motion through the Universe generates a dipole in the temperature anisotropies of the Cosmic Microwave Background (CMB) and also in the angular distribution of sources. If the cosmological principle is valid, these two dipoles are…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-09 Charles Dalang , Camille Bonvin

Recent cosmic ray (CR) measurements have revealed unexpected anomalies in secondary CRs, namely deviations from the predictions of the so-called standard Galactic CR paradigm regarding the composition and energy spectra of the products of…

High Energy Astrophysical Phenomena · Physics 2024-10-30 Rui-zhi Yang , Felix Aharonian

In recent years, large radio surveys of Active Galactic Nuclei (AGNs), comprising millions of sources, have become available where one could investigate dipole asymmetries, assumedly arising due to a peculiar motion of the Solar system.…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-21 Ashok K. Singal

There is an observed anisotropy in the arrival direction distribution of cosmic rays in the TeV-PeV regime with variations on the scale of one part in a thousand. While the origin of this anisotropy is an open question, a possible factor is…

High Energy Astrophysical Phenomena · Physics 2025-07-14 Perri Zilberman , Juan Carlos Díaz-Vélez , Paolo Desiati

Understanding the acceleration of Ultra High Energy Cosmic Rays is one of the great challenges of contemporary astrophysics. In this short review, we summarize the general observational constraints on their composition, spectrum and…

High Energy Astrophysical Phenomena · Physics 2023-05-24 Noemie Globus , Roger Blandford

In the last decade, a number of experiments dealt with the problem of measuring the arrival direction distribution of cosmic rays, looking for information on the propagation mechanisms and the identification of their sources. Any deviation…

Instrumentation and Methods for Astrophysics · Physics 2015-06-12 Roberto Iuppa , Giuseppe Di Sciascio

GRAPES-3 is a mid-altitude (2200 m) and near equatorial ($11.4^{\circ}$ North) air shower array, overlapping in its field of view for cosmic ray observations with experiments that are located in Northern and Southern hemispheres. We analyze…

We discuss three of the known puzzles of the cosmic ray anisotropy in the PeV and sub-PeV energy region. They are: (1) the so called inverse anisotropy, (2) the irregularity in the energy dependence of the amplitude and phase of the first…

High Energy Astrophysical Phenomena · Physics 2019-02-05 Anatoly Erlykin , Svetlana Machavariani , Arnold Wolfendale

We report the first observation of an anisotropy in the arrival direction of cosmic rays with energies in the multi TeV region in the Southern sky using data from the IceCube detector. Between June 2007 and March 2008, the…

High Energy Astrophysical Phenomena · Physics 2010-10-06 The IceCube Collaboration , R. Abbasi

Recent observations of cosmic rays (CRs) have revealed a two-component anomaly in the spectra of primary and secondary particles, as well as their ratios, prompting investigation into their common origin. In this study, we incorporate the…

High Energy Astrophysical Phenomena · Physics 2024-03-08 Yu-Hua Yao , Xu-Lin Dong , Yi-Qing Guo , Qiang Yuan

We study the effects that the diffusion of the cosmic rays in the magnetic field of the Local Supercluster can have on the spectrum of a nearby extragalactic source at ultrahigh energies. We find that the strong enhancement of the flux…

High Energy Astrophysical Phenomena · Physics 2019-05-22 Silvia Mollerach , Esteban Roulet