Caustic-like Structures in UHECR Flux after Propagation in Turbulent Intergalactic Magnetic Fields

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Abstract

UHECR propagation in a turbulent intergalactic magnetic field in the small-angle scattering regime is well understood for propagation distances much larger than the field coherence scale. The diffusion theory doesn’t work and unexpected effects may appear for propagation over smaller distances, from a few and up to 10–20 coherence scales. We study the propagation of UHECRs in this regime, which may be relevant for intermediate mass UHECR nuclei and nG scale intergalactic magnetic fields with 1 Mpc coherence scale. We found that the trajectories form a non-trivial caustic-like pattern with strong deviation from isotropy. Thus, measurements of the flux from a source at a given distance will depend on the position of the observer.

About the authors

K. Dolgikh

Institute for Nuclear Research of the Russian Academy of Sciences;Novosibirsk State University

Email: jetp@kapitza.ras.ru
117312, Moscow, Russia; 630090, Novosibirsk, Russia

A. Korochkin

Novosibirsk State University;Universit� Libre de Bruxelles

Email: jetp@kapitza.ras.ru
630090, Novosibirsk, Russia; CP225 Boulevard du Triomphe, 1050, Brussels, Belgium

G. Rubtsov

Institute for Nuclear Research of the Russian Academy of Sciences;Novosibirsk State University

Email: jetp@kapitza.ras.ru
117312, Moscow, Russia

D. Semikoz

APC, Universit� Paris Cit�

Email: jetp@kapitza.ras.ru
Observatoire de Paris 119, 75205, Paris, France

I. Tkachev

Institute for Nuclear Research of the Russian Academy of Sciences;Novosibirsk State University

Author for correspondence.
Email: jetp@kapitza.ras.ru
117312, Moscow, Russia; 630090, Novosibirsk, Russia

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