Exact calculation of the large deviation function for $k$-nary coalescence
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929570564800512 |
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| author | Rajesh, R. Subashri, V. Zaboronski, Oleg |
| author_facet | Rajesh, R. Subashri, V. Zaboronski, Oleg |
| contents | We study probabilities of rare events in the general coalescence process, $kA\rightarrow \ell A$, where $k>\ell$. For arbitrary $k, \ell$, by rewriting these probabilities in terms of an effective action, we derive the large deviation function describing the probability of finding $N$ particles at time $t$, when starting with $M$ particles initially. Additionally, the most probable trajectory corresponding to a fixed rare event is derived. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_24118 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact calculation of the large deviation function for $k$-nary coalescence Rajesh, R. Subashri, V. Zaboronski, Oleg Statistical Mechanics Exactly Solvable and Integrable Systems We study probabilities of rare events in the general coalescence process, $kA\rightarrow \ell A$, where $k>\ell$. For arbitrary $k, \ell$, by rewriting these probabilities in terms of an effective action, we derive the large deviation function describing the probability of finding $N$ particles at time $t$, when starting with $M$ particles initially. Additionally, the most probable trajectory corresponding to a fixed rare event is derived. |
| title | Exact calculation of the large deviation function for $k$-nary coalescence |
| topic | Statistical Mechanics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2410.24118 |