Quantum Closures for Neutrino Moment Transport
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912321689878528 |
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| author | Kneller, James P. Froustey, Julien Grohs, Evan B. Foucart, Francois McLaughlin, Gail C. Richers, Sherwood |
| author_facet | Kneller, James P. Froustey, Julien Grohs, Evan B. Foucart, Francois McLaughlin, Gail C. Richers, Sherwood |
| contents | A computationally efficient method for calculating the transport of neutrino flavor in simulations is to use angular moments of the neutrino one-body reduced density matrix, i.e., `quantum moments'. As with any moment-based radiation transport method, a closure is needed if the infinite tower of moment evolution equations is truncated. We derive a general parameterization of a quantum closure and the limits the parameters must satisfy in order for the closure to be physical. We then derive from multi-angle calculations the evolution of the closure parameters in two test cases which we then progressively insert into a moment evolution code and show how the parameters affect the moment results until the full multi-angle results are reproduced. This parameterization paves the way to setting prescriptions for genuine quantum closures adapted to neutrino transport in a range of situations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00719 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Closures for Neutrino Moment Transport Kneller, James P. Froustey, Julien Grohs, Evan B. Foucart, Francois McLaughlin, Gail C. Richers, Sherwood High Energy Physics - Phenomenology High Energy Astrophysical Phenomena Nuclear Theory A computationally efficient method for calculating the transport of neutrino flavor in simulations is to use angular moments of the neutrino one-body reduced density matrix, i.e., `quantum moments'. As with any moment-based radiation transport method, a closure is needed if the infinite tower of moment evolution equations is truncated. We derive a general parameterization of a quantum closure and the limits the parameters must satisfy in order for the closure to be physical. We then derive from multi-angle calculations the evolution of the closure parameters in two test cases which we then progressively insert into a moment evolution code and show how the parameters affect the moment results until the full multi-angle results are reproduced. This parameterization paves the way to setting prescriptions for genuine quantum closures adapted to neutrino transport in a range of situations. |
| title | Quantum Closures for Neutrino Moment Transport |
| topic | High Energy Physics - Phenomenology High Energy Astrophysical Phenomena Nuclear Theory |
| url | https://arxiv.org/abs/2410.00719 |