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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.18439 |
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| _version_ | 1866917982054121472 |
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| author | Patchkovskii, S. Mikosch, J. |
| author_facet | Patchkovskii, S. Mikosch, J. |
| contents | Cumulant mapping has been recently suggested [Frasinski, Phys. Chem. Chem. Phys. 24, 207767 (2022)] as an efficient approach to observing multi-particle fragmentation pathways, while bypassing the restrictions of the usual coincidence-measurement approach. We present a formal analysis of the cumulant-mapping technique in the presence of moderate external noise, which induces spurious correlations between the fragments. Suppression of false-cumulant signal may impose severe restrictions on the stability of the experimental setup and/or the permissible average event rate, which increase with the cumulant order. We demonstrate that cumulant mapping in an imperfect apparatus remains competitive for dominant processes and for pathways with a background-free marker fragment. We further show that the false-cumulant contributions increase faster than linearly with the average event rate, providing a simple test for the experimental data analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18439 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Statistical theory of cumulant mapping in an imperfect apparatus Patchkovskii, S. Mikosch, J. Chemical Physics Cumulant mapping has been recently suggested [Frasinski, Phys. Chem. Chem. Phys. 24, 207767 (2022)] as an efficient approach to observing multi-particle fragmentation pathways, while bypassing the restrictions of the usual coincidence-measurement approach. We present a formal analysis of the cumulant-mapping technique in the presence of moderate external noise, which induces spurious correlations between the fragments. Suppression of false-cumulant signal may impose severe restrictions on the stability of the experimental setup and/or the permissible average event rate, which increase with the cumulant order. We demonstrate that cumulant mapping in an imperfect apparatus remains competitive for dominant processes and for pathways with a background-free marker fragment. We further show that the false-cumulant contributions increase faster than linearly with the average event rate, providing a simple test for the experimental data analysis. |
| title | Statistical theory of cumulant mapping in an imperfect apparatus |
| topic | Chemical Physics |
| url | https://arxiv.org/abs/2412.18439 |