{"title":"控制倍增介质中中子密度演化的随机微分方程","authors":"J. Larisse, P. Braffort","doi":"10.1016/0368-3265(61)90004-4","DOIUrl":null,"url":null,"abstract":"<div><p>A stochastic model is described which expresses the destiny of individuals walking in a multiplicating medium such as nuclear reactors. By means of this model one can obtain probability laws of a number of random variates connected to the stochastic process, principally the stochastic differential equation for population density evolution and also the associated diffusion equation of probability. Hence, it is possible for stationary case to deduce the fluctuations power spectrum.</p><p>A number of results obtained by various authors are found again, unified and completed.</p></div>","PeriodicalId":100813,"journal":{"name":"Journal of Nuclear Energy. Part A. Reactor Science","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1961-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0368-3265(61)90004-4","citationCount":"1","resultStr":"{\"title\":\"Equations differentielles stochastiques regissant l'evolution de la densite neutronique dans un milieu multiplicateur\",\"authors\":\"J. Larisse, P. Braffort\",\"doi\":\"10.1016/0368-3265(61)90004-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A stochastic model is described which expresses the destiny of individuals walking in a multiplicating medium such as nuclear reactors. By means of this model one can obtain probability laws of a number of random variates connected to the stochastic process, principally the stochastic differential equation for population density evolution and also the associated diffusion equation of probability. Hence, it is possible for stationary case to deduce the fluctuations power spectrum.</p><p>A number of results obtained by various authors are found again, unified and completed.</p></div>\",\"PeriodicalId\":100813,\"journal\":{\"name\":\"Journal of Nuclear Energy. Part A. Reactor Science\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1961-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0368-3265(61)90004-4\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Nuclear Energy. Part A. Reactor Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0368326561900044\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nuclear Energy. Part A. Reactor Science","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0368326561900044","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Equations differentielles stochastiques regissant l'evolution de la densite neutronique dans un milieu multiplicateur
A stochastic model is described which expresses the destiny of individuals walking in a multiplicating medium such as nuclear reactors. By means of this model one can obtain probability laws of a number of random variates connected to the stochastic process, principally the stochastic differential equation for population density evolution and also the associated diffusion equation of probability. Hence, it is possible for stationary case to deduce the fluctuations power spectrum.
A number of results obtained by various authors are found again, unified and completed.
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