The cosmic rays modulation inside the heliosphere is well described by a transport equation introduced by Parker in 1965. To solve this equation several approaches were followed in the past. Recently the Monte Carlo approach becomes widely used in force of his advantages with respect to other numerical methods. In the Monte Carlo approach, the transport equation is associated to a fully equivalent set of Stochastic Differential Equations. This set is used to describe the stochastic path of a quasi-particle from a source, e.g., the interstellar medium, to a specific target, e.g., a detector at Earth. In this work, we present both the Forward-in-Time and Backward-in-Time Monte Carlo solutions. We present an implementation of both algorithms in the framework of HelMod Code showing that the difference between the two approach is below 5% that can be quoted as the systematic uncertain of the Method itself.

Cosmic Rays Propagation with HelMod: Difference between forward-in-time and backward-in-time approaches / Della Torre, S; Bobik, P; Boschini, MJ; Gervasi, M; Grandi, D; La Vacca, G; Pensotti, S; Putis, M; Rancoita, PG; Rozza, D; Tacconi, M; Zannoni, M. - In: POS PROCEEDINGS OF SCIENCE. - ISSN 1824-8039. - (2015). ((Intervento presentato al convegno International Cosmic Ray Conference tenutosi a The Hague, The Netherlands nel 2015.

Cosmic Rays Propagation with HelMod: Difference between forward-in-time and backward-in-time approaches

Rozza D;
2015

Abstract

The cosmic rays modulation inside the heliosphere is well described by a transport equation introduced by Parker in 1965. To solve this equation several approaches were followed in the past. Recently the Monte Carlo approach becomes widely used in force of his advantages with respect to other numerical methods. In the Monte Carlo approach, the transport equation is associated to a fully equivalent set of Stochastic Differential Equations. This set is used to describe the stochastic path of a quasi-particle from a source, e.g., the interstellar medium, to a specific target, e.g., a detector at Earth. In this work, we present both the Forward-in-Time and Backward-in-Time Monte Carlo solutions. We present an implementation of both algorithms in the framework of HelMod Code showing that the difference between the two approach is below 5% that can be quoted as the systematic uncertain of the Method itself.
Cosmic Rays Propagation with HelMod: Difference between forward-in-time and backward-in-time approaches / Della Torre, S; Bobik, P; Boschini, MJ; Gervasi, M; Grandi, D; La Vacca, G; Pensotti, S; Putis, M; Rancoita, PG; Rozza, D; Tacconi, M; Zannoni, M. - In: POS PROCEEDINGS OF SCIENCE. - ISSN 1824-8039. - (2015). ((Intervento presentato al convegno International Cosmic Ray Conference tenutosi a The Hague, The Netherlands nel 2015.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11388/232943
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