{"title":"具有记忆的经典随机过程的非指数衰变","authors":"Maciej Rybczy'nski, Z. Włodarczyk","doi":"10.5506/APhysPolB.54.2-A2","DOIUrl":null,"url":null,"abstract":"The initial time-dependence of a state in circumstances where it makes transitions to, or decay to, a second state has been investigated. In classical stochastic processes, the observed time dependence of transition or decay proportional to $t^2$ is attributed to the noise with memory. In contrast to quantum mechanics, the quadratic form of initial decay is unable to decelerate the evolution of the system.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":" ","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2022-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Non-exponential Decay in Classical Stochastic Processes with Memory\",\"authors\":\"Maciej Rybczy'nski, Z. Włodarczyk\",\"doi\":\"10.5506/APhysPolB.54.2-A2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The initial time-dependence of a state in circumstances where it makes transitions to, or decay to, a second state has been investigated. In classical stochastic processes, the observed time dependence of transition or decay proportional to $t^2$ is attributed to the noise with memory. In contrast to quantum mechanics, the quadratic form of initial decay is unable to decelerate the evolution of the system.\",\"PeriodicalId\":7060,\"journal\":{\"name\":\"Acta Physica Polonica B\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2022-05-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Physica Polonica B\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.5506/APhysPolB.54.2-A2\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Physica Polonica B","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.5506/APhysPolB.54.2-A2","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Non-exponential Decay in Classical Stochastic Processes with Memory
The initial time-dependence of a state in circumstances where it makes transitions to, or decay to, a second state has been investigated. In classical stochastic processes, the observed time dependence of transition or decay proportional to $t^2$ is attributed to the noise with memory. In contrast to quantum mechanics, the quadratic form of initial decay is unable to decelerate the evolution of the system.
期刊介绍:
Acta Physica Polonica B covers the following areas of physics:
-General and Mathematical Physics-
Particle Physics and Field Theory-
Nuclear Physics-
Theory of Relativity and Astrophysics-
Statistical Physics