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An important factor limiting our ability to understand the production and propagation of cosmic rays pertains to the effects of heliospheric forces, commonly known as solar modulation. The solar wind is capable of generating time and…

Solar and Stellar Astrophysics · Physics 2016-11-28 Ilias Cholis , Dan Hooper , Tim Linden

The intensity and energy spectrum of energetic charged radiation in the heliosphere are significantly influenced by solar activity. This phenomenon is known as solar modulation of galactic cosmic rays. As interplanetary travel becomes a…

High Energy Astrophysical Phenomena · Physics 2025-09-16 Miguel Orcinha , Fernando Barão , Bruna Bertucci , Emanuele Fiandrini , David Pelosi , Nicola Tomassetti

Our ability to identify the sources of cosmic rays and understand how these particles propagate through the interstellar medium is hindered by the combined effects of the solar wind and its embedded magnetic field, collectively known as…

High Energy Astrophysical Phenomena · Physics 2020-07-03 Ilias Cholis , Dan Hooper , Tim Linden

A key goal of heliophysics is to understand how cosmic rays propagate in the solar system's complex, dynamic environment. One observable is solar modulation, i.e., how the flux and spectrum of cosmic rays changes as they propagate inward.…

Solar and Stellar Astrophysics · Physics 2022-09-22 Jung-Tsung Li , John F. Beacom , Annika H. G. Peter

On their way through the heliosphere, Galactic Cosmic Rays (GCRs) are modulated by various effects before they can be detected at Earth. This process can be described by the Parker equation, which calculates the phase space distribution of…

Space Physics · Physics 2017-11-28 Jan Gieseler , Bernd Heber , Konstantin Herbst

The solar modulation effect of cosmic rays in the heliosphere is an energy-, time-, and particle-dependent phenomenon which arises from a combination of basic particle transport processes such as diffusion, convection, adiabatic cooling,…

High Energy Astrophysical Phenomena · Physics 2018-07-31 Nicola Tomassetti , Miguel Orcinha , Fernando Barao , Bruna Bertucci

Cosmic Ray transport in curved background magnetic fields is investigated using numerical Monte-Carlo simulation techniques. Special emphasis is laid on the Solar system, where the curvature of the magnetic field can be described in terms…

High Energy Astrophysical Phenomena · Physics 2013-06-17 R. C. Tautz , A. Shalchi , A. Dosch

The solar modulation, a combination of diffusion, convection, magnetic drift and energy loss inside the heliosphere is usually seen as a depletion in the Galactic cosmic ray (CR) flux at low energy (less than 10 GeV/nuc). Antiparticles such…

Solar and Stellar Astrophysics · Physics 2017-08-23 P. Bobik , M. J. Boschini , C. Consolandi , S. Della Torre , M. Gervasi , D. Grandi , K. Kudela , S. Pensotti , P. G. Rancoita

In this paper, we investigate the heliospheric modulation of cosmic rays in interplanetary space, focusing on their propagation times and energy losses over the solar cycle. To perform the calculations, we employed a data-driven model based…

High Energy Astrophysical Phenomena · Physics 2025-03-20 Nicola Tomassetti , Bruna Bertucci , Emanuele Fiandrini , Behrouz Khiali

Our basic theoretical understanding of the sources of cosmic rays and their propagation through the interstellar medium is hindered by the Sun, that through the solar wind affects the observed cosmic-ray spectra. This effect is known as…

Solar and Stellar Astrophysics · Physics 2022-10-12 Ilias Cholis , Ian McKinnon

A numerical model for the solar modulation of cosmic rays, based on the solution of a set of stochastic differential equations, is used to illustrate the effects of modifying the heliospheric magnetic field, particularly in the polar…

Space Physics · Physics 2016-10-31 J. L. Raath , M. S. Potgieter , R. D. Strauss , A. Kopp

The solar modulation effect of Galactic cosmic rays is a time-dependent phenomenon that is caused by the transport of these particles through the magnetized plasma of the heliosphere. Using a data-driven model of cosmic-ray transport in the…

High Energy Astrophysical Phenomena · Physics 2019-05-22 Miguel Orcinha , Nicola Tomassetti , Fernando Barão , Bruna Bertucci

The cosmic rays differential intensity inside the heliosphere, for energy below 30 GeV/nuc, depends on solar activity and interplanetary magnetic field polarity. This variation, termed solar modulation, is described using a 2-D (radius and…

Solar and Stellar Astrophysics · Physics 2015-06-12 P. Bobik , G. Boella , M. J. Boschini , C. Consolandi , S. Della Torre , M. Gervasi , D. Grandi , K. Kudela , S. Pensotti , P. G. Rancoita , D. Rozza , M. Tacconi

Cosmic rays (CRs) are tracers of solar events when they are associated with solar flares, but also galactic events when they come from outside our solar system. SEPs are correlated with the 11-year solar cycle while GCRs are anti-correlated…

Solar and Stellar Astrophysics · Physics 2020-10-06 Barbara Perri , Allan Sacha Brun , Antoine Strugarek , Victor Réville

Numerical modeling of galactic cosmic rays (GCRs) penetration through the heliosphere to the vicinity of the Sun is considered. Galactic cosmic rays are charged particles with energies exceeding 10 MeV/nucl., originating from far beyond the…

High Energy Astrophysical Phenomena · Physics 2025-09-04 D. A. Shestakov , V. V. Izmodenov

A complete theory for the complex interaction between solar energetic particles and the turbulent interplanetary magnetic field remains elusive. In this work we aim to contribute towards such a theory by modelling the propagation of solar…

Space Physics · Physics 2019-02-27 R. D. Strauss , J. A. le Roux

Diffusive shock acceleration at collisionless shocks is thought to be the source of many of the energetic particles observed in space. Large-scale spatial variations of the magnetic field has been shown to be important in understanding…

High Energy Astrophysical Phenomena · Physics 2015-05-20 F. Guo , J. R. Jokipii , J. Kota

We perform a comprehensive analysis of cosmic-ray propagation using the time-dependent AMS-02 flux measurements covering a full solar cycle, with particular emphasis on the role of solar modulation. We fit two representative Galactic…

High Energy Astrophysical Phenomena · Physics 2026-02-23 Isabelle John , Alessandro Cuoco , Mattia Di Mauro

Thanks to space-borne experiments such as the AMS-02 and PAMELA missions in low-Earth orbit, along with the Voyager spacecrafts in the interstellar space, a large collection of multi-channel and time-resolved Galactic cosmic ray (GCR) data…

High Energy Astrophysical Phenomena · Physics 2019-08-06 Bruna Bertucci , Emanuele Fiandrini , Behrouz Khiali , Nicola Tomassetti

Galactic cosmic rays (GCRs) inside the heliosphere are affected by magnetic turbulence and Solar wind disturbances which result in the so-called solar modulation effect. To investigate this phenomenon, we have performed a data-driven…

High Energy Astrophysical Phenomena · Physics 2022-10-13 Nicola Tomassetti , Bruna Bertucci , Federico Donnini , Emanuele Fiandrini , Maura Graziani , Behrouz Khiali , Alejandro Reina Conde
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