Introduction to the theory of critical phenomena: mean field, fluctuations and renormalization
The sophistication of modern tools used in the study of statistical mechanics and field theory is often an obstacle to the easy understanding of new important current results reported in journals. The main purpose of this book is to introduce the reader to the methods of the fluctuation (field) theo...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1993
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| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | The sophistication of modern tools used in the study of statistical mechanics and field theory is often an obstacle to the easy understanding of new important current results reported in journals. The main purpose of this book is to introduce the reader to the methods of the fluctuation (field) theory of phase transitions and critical phenomena so as to provide a good source for research. The introductory contents are concerned with ideas of description, thermodynamic stability theory related to phase transitions, major experimental facts, basic models and their relationships. Special attention is paid to the mean field approximation and to the Landau expansion for simple and complex models of critical and multicritical phenomena. An instructive representation of the modern perturbation theory and the method of the renormalization group is developed for field models of phase transitions. The essential influence of the fluctuations on the critical behaviour is established together with the theory of correlation functions, Gaussian approximation, the Ginzburg criterion, [symbol]- and 1/n- expansions as practical realizations of the renormalization group ideas. Applications of the theory to concrete aspects of condensed matter physics are considered: quantum effects, Bose condensation, crystal anisotropy, superconductors and liquid crystals, effects of disorder of type randomly distributed quenched impurities and random fields. This volume can be used as an advanced University course book for students with a basic knowledge of statistical physics and quantum mechanics. It could be considered as a complementary text to a standard University course on statistical physics |
| Beschreibung: | xx, 452 p. ill |
| ISBN: | 9789814350495 |
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| 520 | |a The sophistication of modern tools used in the study of statistical mechanics and field theory is often an obstacle to the easy understanding of new important current results reported in journals. The main purpose of this book is to introduce the reader to the methods of the fluctuation (field) theory of phase transitions and critical phenomena so as to provide a good source for research. The introductory contents are concerned with ideas of description, thermodynamic stability theory related to phase transitions, major experimental facts, basic models and their relationships. Special attention is paid to the mean field approximation and to the Landau expansion for simple and complex models of critical and multicritical phenomena. An instructive representation of the modern perturbation theory and the method of the renormalization group is developed for field models of phase transitions. The essential influence of the fluctuations on the critical behaviour is established together with the theory of correlation functions, Gaussian approximation, the Ginzburg criterion, [symbol]- and 1/n- expansions as practical realizations of the renormalization group ideas. Applications of the theory to concrete aspects of condensed matter physics are considered: quantum effects, Bose condensation, crystal anisotropy, superconductors and liquid crystals, effects of disorder of type randomly distributed quenched impurities and random fields. This volume can be used as an advanced University course book for students with a basic knowledge of statistical physics and quantum mechanics. It could be considered as a complementary text to a standard University course on statistical physics | ||
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| spelling | Uzunov, Dimo I. Verfasser aut Introduction to the theory of critical phenomena mean field, fluctuations and renormalization D.I. Uzunov Singapore World Scientific Pub. Co. c1993 xx, 452 p. ill txt rdacontent c rdamedia cr rdacarrier The sophistication of modern tools used in the study of statistical mechanics and field theory is often an obstacle to the easy understanding of new important current results reported in journals. The main purpose of this book is to introduce the reader to the methods of the fluctuation (field) theory of phase transitions and critical phenomena so as to provide a good source for research. The introductory contents are concerned with ideas of description, thermodynamic stability theory related to phase transitions, major experimental facts, basic models and their relationships. Special attention is paid to the mean field approximation and to the Landau expansion for simple and complex models of critical and multicritical phenomena. An instructive representation of the modern perturbation theory and the method of the renormalization group is developed for field models of phase transitions. The essential influence of the fluctuations on the critical behaviour is established together with the theory of correlation functions, Gaussian approximation, the Ginzburg criterion, [symbol]- and 1/n- expansions as practical realizations of the renormalization group ideas. Applications of the theory to concrete aspects of condensed matter physics are considered: quantum effects, Bose condensation, crystal anisotropy, superconductors and liquid crystals, effects of disorder of type randomly distributed quenched impurities and random fields. This volume can be used as an advanced University course book for students with a basic knowledge of statistical physics and quantum mechanics. It could be considered as a complementary text to a standard University course on statistical physics Phase transformations (Statistical physics) Critical phenomena (Physics) Fluctuations (Physics) Renormalization group Phasenumwandlung (DE-588)4132140-6 gnd rswk-swf Kritisches Phänomen (DE-588)4165788-3 gnd rswk-swf Phasenumwandlung (DE-588)4132140-6 s 1\p DE-604 Kritisches Phänomen (DE-588)4165788-3 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 9789810203887 Erscheint auch als Druck-Ausgabe 9810203888 Erscheint auch als Druck-Ausgabe 9810203896 (pbk.) http://www.worldscientific.com/worldscibooks/10.1142/1214#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Uzunov, Dimo I. Introduction to the theory of critical phenomena mean field, fluctuations and renormalization Phase transformations (Statistical physics) Critical phenomena (Physics) Fluctuations (Physics) Renormalization group Phasenumwandlung (DE-588)4132140-6 gnd Kritisches Phänomen (DE-588)4165788-3 gnd |
| subject_GND | (DE-588)4132140-6 (DE-588)4165788-3 |
| title | Introduction to the theory of critical phenomena mean field, fluctuations and renormalization |
| title_auth | Introduction to the theory of critical phenomena mean field, fluctuations and renormalization |
| title_exact_search | Introduction to the theory of critical phenomena mean field, fluctuations and renormalization |
| title_full | Introduction to the theory of critical phenomena mean field, fluctuations and renormalization D.I. Uzunov |
| title_fullStr | Introduction to the theory of critical phenomena mean field, fluctuations and renormalization D.I. Uzunov |
| title_full_unstemmed | Introduction to the theory of critical phenomena mean field, fluctuations and renormalization D.I. Uzunov |
| title_short | Introduction to the theory of critical phenomena |
| title_sort | introduction to the theory of critical phenomena mean field fluctuations and renormalization |
| title_sub | mean field, fluctuations and renormalization |
| topic | Phase transformations (Statistical physics) Critical phenomena (Physics) Fluctuations (Physics) Renormalization group Phasenumwandlung (DE-588)4132140-6 gnd Kritisches Phänomen (DE-588)4165788-3 gnd |
| topic_facet | Phase transformations (Statistical physics) Critical phenomena (Physics) Fluctuations (Physics) Renormalization group Phasenumwandlung Kritisches Phänomen |
| url | http://www.worldscientific.com/worldscibooks/10.1142/1214#t=toc |
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