{"title":"形式概率力学的要素","authors":"F. Kachapova, Ilias Kachapov","doi":"10.3844/jmssp.2022.16.26","DOIUrl":null,"url":null,"abstract":"Corresponding Author: Farida Kachapova Department of Mathematical Sciences, Auckland University of Technology, New Zealand E-mail: farida.kachapova@aut.ac.nz Abstract: In this study model of particle motion on a three-dimensional lattice is created using discrete random walk with small steps. A probability space of the particle trajectories is rigorously constructed. Unlike deterministic approach in classical mechanics, here probabilistic properties of particle movement are used to formally derive analogues of Newton’s first and second laws of motion. Similar probabilistic models can potentially be applied to justify laws of thermodynamics in a consistent manner.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"26 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Elements of Formal Probabilistic Mechanics\",\"authors\":\"F. Kachapova, Ilias Kachapov\",\"doi\":\"10.3844/jmssp.2022.16.26\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Corresponding Author: Farida Kachapova Department of Mathematical Sciences, Auckland University of Technology, New Zealand E-mail: farida.kachapova@aut.ac.nz Abstract: In this study model of particle motion on a three-dimensional lattice is created using discrete random walk with small steps. A probability space of the particle trajectories is rigorously constructed. Unlike deterministic approach in classical mechanics, here probabilistic properties of particle movement are used to formally derive analogues of Newton’s first and second laws of motion. Similar probabilistic models can potentially be applied to justify laws of thermodynamics in a consistent manner.\",\"PeriodicalId\":41981,\"journal\":{\"name\":\"Jordan Journal of Mathematics and Statistics\",\"volume\":\"26 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Jordan Journal of Mathematics and Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3844/jmssp.2022.16.26\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Jordan Journal of Mathematics and Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3844/jmssp.2022.16.26","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Corresponding Author: Farida Kachapova Department of Mathematical Sciences, Auckland University of Technology, New Zealand E-mail: farida.kachapova@aut.ac.nz Abstract: In this study model of particle motion on a three-dimensional lattice is created using discrete random walk with small steps. A probability space of the particle trajectories is rigorously constructed. Unlike deterministic approach in classical mechanics, here probabilistic properties of particle movement are used to formally derive analogues of Newton’s first and second laws of motion. Similar probabilistic models can potentially be applied to justify laws of thermodynamics in a consistent manner.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
