Elements of Phase Transitions and Critical Phenomena
Phase transitions and critical phenomena have consistently been among the principal subjects of active studies in statistical physics. The simple act of transforming one state of matter or phase into another, for instance by changing the temperature, has always captivated the curious mind. This book...
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| Materyal Türü: | Online |
| Dil: | İngilizce |
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Oxford University Press
2023
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| Konular: | |
| Online Erişim: | OCN: 700953383 |
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| _version_ | 1869524962358853632 |
|---|---|
| author | Nishimori, Hidetoshi Ortiz, Gerardo |
| author_browse | Nishimori, Hidetoshi Ortiz, Gerardo |
| author_facet | Nishimori, Hidetoshi Ortiz, Gerardo |
| author_sort | Nishimori, Hidetoshi |
| collection | Directory of Open Access Books |
| description | Phase transitions and critical phenomena have consistently been among the principal subjects of active studies in statistical physics. The simple act of transforming one state of matter or phase into another, for instance by changing the temperature, has always captivated the curious mind. This book provides an introductory account on the theory of phase transitions and critical phenomena, a subject now recognized to be indispensable for students and researchers from many fields of physics and related disciplines. The first five chapters are very basic and quintessential, and cover standard topics such as mean-field theories, the renormalization group and scaling, universality, and statistical field theory methods. The remaining chapters develop more advanced concepts, including conformal field theory, the Kosterlitz-Thouless transition, the effects of randomness, percolation, exactly solvable models, series expansions, duality transformations, and numerical techniques. Moreover, a comprehensive series of appendices expand and clarify several issues not developed in the main text. The important role played by symmetry and topology in understanding the competition between phases and the resulting emergent collective behaviour, giving rise to rigidity and soft elementary excitations, is stressed throughout the book. Serious attempts have been directed toward a self-contained modular approach so that the reader does not have to refer to other sources for supplementary information. Accordingly, most of the concepts and calculations are described in detail, sometimes with additional/auxiliary descriptions given in appendices and exercises. The latter are presented as the topics develop with solutions found at the end of the book, thus giving the text a self-learning character. |
| format | Online |
| id | doab-20.500.12854ir-122075 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | Oxford University Press |
| publisherStr | Oxford University Press |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1220752025-03-22T08:10:31Z Elements of Phase Transitions and Critical Phenomena Nishimori, Hidetoshi Ortiz, Gerardo phase transitions, critical phenomena, states of matter, collective behaviour, universality, scaling, conformal invariance, renormalization group, statistical physics, statistical field theory Phase transitions and critical phenomena have consistently been among the principal subjects of active studies in statistical physics. The simple act of transforming one state of matter or phase into another, for instance by changing the temperature, has always captivated the curious mind. This book provides an introductory account on the theory of phase transitions and critical phenomena, a subject now recognized to be indispensable for students and researchers from many fields of physics and related disciplines. The first five chapters are very basic and quintessential, and cover standard topics such as mean-field theories, the renormalization group and scaling, universality, and statistical field theory methods. The remaining chapters develop more advanced concepts, including conformal field theory, the Kosterlitz-Thouless transition, the effects of randomness, percolation, exactly solvable models, series expansions, duality transformations, and numerical techniques. Moreover, a comprehensive series of appendices expand and clarify several issues not developed in the main text. The important role played by symmetry and topology in understanding the competition between phases and the resulting emergent collective behaviour, giving rise to rigidity and soft elementary excitations, is stressed throughout the book. Serious attempts have been directed toward a self-contained modular approach so that the reader does not have to refer to other sources for supplementary information. Accordingly, most of the concepts and calculations are described in detail, sometimes with additional/auxiliary descriptions given in appendices and exercises. The latter are presented as the topics develop with solutions found at the end of the book, thus giving the text a self-learning character. 2023-11-17T09:22:41Z 2023-11-17T09:22:41Z 2023-09-27T08:08:43Z 2011 book OCN: 700953383 https://library.oapen.org/handle/20.500.12657/76440 9780199577224 https://directory.doabooks.org/handle/20.500.12854/122075 eng Oxford Graduate Texts open access image/jpeg image/jpeg image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International https://library.oapen.org/bitstream/20.500.12657/76440/1/9780198754084_Print%20%283%29.pdf https://library.oapen.org/bitstream/20.500.12657/76440/1/9780198754084_Print%20%283%29.pdf https://library.oapen.org/bitstream/20.500.12657/76440/1/9780198754084_Print%20%283%29.pdf Oxford University Press 10.1093/acprof:oso/9780199577224.001.0001 10.1093/acprof:oso/9780199577224.001.0001 db4e319f-ca9f-449a-bcf2-37d7c6f885b1 9780199577224 384 Oxford open access |
| spellingShingle | phase transitions, critical phenomena, states of matter, collective behaviour, universality, scaling, conformal invariance, renormalization group, statistical physics, statistical field theory Nishimori, Hidetoshi Ortiz, Gerardo Elements of Phase Transitions and Critical Phenomena |
| title | Elements of Phase Transitions and Critical Phenomena |
| title_full | Elements of Phase Transitions and Critical Phenomena |
| title_fullStr | Elements of Phase Transitions and Critical Phenomena |
| title_full_unstemmed | Elements of Phase Transitions and Critical Phenomena |
| title_short | Elements of Phase Transitions and Critical Phenomena |
| title_sort | elements of phase transitions and critical phenomena |
| topic | phase transitions, critical phenomena, states of matter, collective behaviour, universality, scaling, conformal invariance, renormalization group, statistical physics, statistical field theory |
| topic_facet | phase transitions, critical phenomena, states of matter, collective behaviour, universality, scaling, conformal invariance, renormalization group, statistical physics, statistical field theory |
| url | OCN: 700953383 |
| work_keys_str_mv | AT nishimorihidetoshi elementsofphasetransitionsandcriticalphenomena AT ortizgerardo elementsofphasetransitionsandcriticalphenomena |