{"title":"Exact Calculation of the Large Deviation Function for k-nary Coalescence","authors":"R. Rajesh, V. Subashri, Oleg Zaboronski","doi":"10.1007/s10955-025-03412-1","DOIUrl":null,"url":null,"abstract":"<div><p>We study probabilities of rare events in the general coalescence process, <span>\\(kA\\rightarrow \\ell A\\)</span>, where <span>\\(k>\\ell \\)</span>. For arbitrary <span>\\(k, \\ell \\)</span>, by rewriting these probabilities in terms of an effective action, we derive the large deviation function describing the probability of finding <i>N</i> particles at time <i>t</i>, when starting with <i>M</i> particles initially. Additionally, the most probable trajectory corresponding to a fixed rare event is derived.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 5","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2025-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03412-1.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Statistical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10955-025-03412-1","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
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.
期刊介绍:
The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.