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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.06281 |
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| _version_ | 1866916647106772992 |
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| author | Cowsik, Ramanath Huth, Dawson |
| author_facet | Cowsik, Ramanath Huth, Dawson |
| contents | The leaky-box model and the attendant concept of path-length distribution of cosmic rays were invented in the mid-1960's. Even though versatile computational packages such as GALPROP and DRAGON with the diffusion approach are now available for analyzing cosmic ray data, the concepts of the leaky-box and path-length distribution continue to be adopted extensively. We show here mathematically that there is a close correspondence between the two approaches: The path-length or resident-time of the leaky-box models are similar to 'impulse response functions' of complex dynamical systems and are intuitively transparent. The results provided by the leaky-box model are valid when used judiciously. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_06281 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Correspondence Between Leaky-Box and Diffusion Models of Cosmic-Ray Propagation Cowsik, Ramanath Huth, Dawson High Energy Astrophysical Phenomena The leaky-box model and the attendant concept of path-length distribution of cosmic rays were invented in the mid-1960's. Even though versatile computational packages such as GALPROP and DRAGON with the diffusion approach are now available for analyzing cosmic ray data, the concepts of the leaky-box and path-length distribution continue to be adopted extensively. We show here mathematically that there is a close correspondence between the two approaches: The path-length or resident-time of the leaky-box models are similar to 'impulse response functions' of complex dynamical systems and are intuitively transparent. The results provided by the leaky-box model are valid when used judiciously. |
| title | The Correspondence Between Leaky-Box and Diffusion Models of Cosmic-Ray Propagation |
| topic | High Energy Astrophysical Phenomena |
| url | https://arxiv.org/abs/2503.06281 |