| 书目名称 | Geometrical Formulation of Renormalization-Group Method as an Asymptotic Analysis |
| 副标题 | With Applications to |
| 编辑 | Teiji Kunihiro,Yuta Kikuchi,Kyosuke Tsumura |
| 视频video | |
| 概述 | Sheds light on geometrical notion of renormalization group theory.Offers systematic asymptotic analysis in evolution equations.Describes contents a priori and clearly |
| 丛书名称 | Fundamental Theories of Physics |
| 图书封面 |  |
| 描述 | .This book presents a comprehensive account of the renormalization-group (RG) method and its extension, the doublet scheme, in a geometrical point of view... It extract long timescale macroscopic/mesoscopic dynamics from microscopic equations in an intuitively understandable way rather than in a mathematically rigorous manner and introduces readers to a mathematically elementary, but useful and widely applicable technique for analyzing asymptotic solutions in mathematical models of nature... The book begins with the basic notion of the RG theory, including its connection with the separation of scales. Then it formulates the RG method as a construction method of envelopes of the naive perturbative solutions containing secular terms, and then demonstrates the formulation in various types of evolution equations. Lastly, it describes successful physical examples, such as stochastic and transport phenomena including second-order relativistic as well as nonrelativistic fluid dynamics with causality and transport phenomena in cold atoms, with extensive numerical expositions of transport coefficients and relaxation times... Requiring only an undergraduate-level understanding of physics a |
| 出版日期 | Book 2022 |
| 关键词 | Renormalization Group Theory in Differential Equations; Asymptotic Analysis of Differential Equations |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-16-8189-9 |
| isbn_softcover | 978-981-16-8191-2 |
| isbn_ebook | 978-981-16-8189-9Series ISSN 0168-1222 Series E-ISSN 2365-6425 |
| issn_series | 0168-1222 |
| copyright | Springer Nature Singapore Pte Ltd. 2022 |
发表于 2025-3-21 16:58:30
