{"title":"摄动微积分在平面格上的广义Nelkin展开","authors":"J.J. Van Binnebeek","doi":"10.1016/0022-3107(73)90021-X","DOIUrl":null,"url":null,"abstract":"<div><p>The decay of a neutron burst in a plane lattice with symmetric cells is computed by perturbation calculus up to the second order. The perturbation is shown to be negative when the unperturbed system is the homogeneous system obtained by volume averaging of the cross-section in the cell. As an illustration, generalized Nelkin's expansion is computed for plane water-beryllium lattices.</p></div>","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 9","pages":"Pages 607-617"},"PeriodicalIF":0.0000,"publicationDate":"1973-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90021-X","citationCount":"2","resultStr":"{\"title\":\"Generalized Nelkin's expansion in plane lattices by perturbation calculus\",\"authors\":\"J.J. Van Binnebeek\",\"doi\":\"10.1016/0022-3107(73)90021-X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The decay of a neutron burst in a plane lattice with symmetric cells is computed by perturbation calculus up to the second order. The perturbation is shown to be negative when the unperturbed system is the homogeneous system obtained by volume averaging of the cross-section in the cell. As an illustration, generalized Nelkin's expansion is computed for plane water-beryllium lattices.</p></div>\",\"PeriodicalId\":100811,\"journal\":{\"name\":\"Journal of Nuclear Energy\",\"volume\":\"27 9\",\"pages\":\"Pages 607-617\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1973-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0022-3107(73)90021-X\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Nuclear Energy\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/002231077390021X\",\"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","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/002231077390021X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized Nelkin's expansion in plane lattices by perturbation calculus
The decay of a neutron burst in a plane lattice with symmetric cells is computed by perturbation calculus up to the second order. The perturbation is shown to be negative when the unperturbed system is the homogeneous system obtained by volume averaging of the cross-section in the cell. As an illustration, generalized Nelkin's expansion is computed for plane water-beryllium lattices.
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