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Theory Of Critical Phenomena In Finite-size Systems: Scaling And Quantum Effects
Seiten
2000
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3925-1 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3925-1 (ISBN)
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This text aims to familiarize the reader with the collection of ideas, methods and results available in the theory of critical phenomena in systems with confined geometry. It presumes the reader's knowledge only in the framework of standard courses on phase transitions and critical phenomena.
The aim of this book is to familiarise the reader with the rich collection of ideas, methods and results available in the theory of critical phenomena in systems with confined geometry. The existence of universal features of the finite-size effects arising due to highly correlated classical or quantum fluctuations is explained by the finite-size scaling theory. This theory (1) offers an interpretation of experimental results on finite-size effects in real systems; (2) gives the most reliable tool for extrapolation to the thermodynamic limit of data obtained by computer simulations; (3) reveals the intimate mechanism of how the critical singularities build up in the thermodynamic limit; and (4) can be fruitfully used to explain the low-temperature behaviour of quantum critical systems.The exposition is given in a self-contained form which presumes the reader's knowledge only in the framework of standard courses on the theory of phase transitions and critical phenomena. The instructive role of simple models, both classical and quantum, is demonstrated by putting the accent on the derivation of rigorous and exact analytical results.
The aim of this book is to familiarise the reader with the rich collection of ideas, methods and results available in the theory of critical phenomena in systems with confined geometry. The existence of universal features of the finite-size effects arising due to highly correlated classical or quantum fluctuations is explained by the finite-size scaling theory. This theory (1) offers an interpretation of experimental results on finite-size effects in real systems; (2) gives the most reliable tool for extrapolation to the thermodynamic limit of data obtained by computer simulations; (3) reveals the intimate mechanism of how the critical singularities build up in the thermodynamic limit; and (4) can be fruitfully used to explain the low-temperature behaviour of quantum critical systems.The exposition is given in a self-contained form which presumes the reader's knowledge only in the framework of standard courses on the theory of phase transitions and critical phenomena. The instructive role of simple models, both classical and quantum, is demonstrated by putting the accent on the derivation of rigorous and exact analytical results.
Overview of critical phenomena in bulk systems; the approximating Hamiltonian method; exactly solved models; finite-size scaling at criticality; long-range interactions; modified finite-size scaling; boundary effects; finite-size scaling at first order transitions; limit Gibbs states and finite-size scaling; bulk quantum systems; the Casimir effect; survey of results on the Casimir effect.
Erscheint lt. Verlag | 23.8.2000 |
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Reihe/Serie | Series In Modern Condensed Matter Physics ; 9 |
Verlagsort | Singapore |
Sprache | englisch |
Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik |
ISBN-10 | 981-02-3925-4 / 9810239254 |
ISBN-13 | 978-981-02-3925-1 / 9789810239251 |
Zustand | Neuware |
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