| Description |
1 online resource (xvii, 439 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Series on modern condensed matter physics ; v. 9
|
|
Series in modern condensed matter physics ; v. 9.
|
| Bibliography |
Includes bibliographical references (pages 415-434) and index. |
| Contents |
Overview of Critical Phenomena in Bulk Systems -- Principles of Statistical Mechanics -- Thermodynamic limit -- Equivalence of Gibbs ensembles -- Phase transitions -- Order parameter -- Critical exponents -- Landau theory -- Universality and scaling laws -- Basic facts from the renormalization group theory -- Ginsburg-Landau model -- Gaussian approximation -- Perturbation expansion -- Renonormalization Group: Generalities -- Scaling variables and critical exponents -- Approximating Hamiltonian Method -- Systems with separable attraction -- Systems with separable repulsion -- Generalization to other types of systems -- Systems with attractive and repulsive components -- Systems with nonpolynomial interaction -- Systems of matter interacting with Boson fields -- Asymptotic closeness of average values -- Exactly Solved Models -- Classical spherical models -- Spherical and mean spherical models -- Critical behavior of the spherical models -- Equivalent-neighbors spherical models -- Classical n-vector model and its n [right arrow] [infinity] limit -- Quantum spherical models -- Reduced Q[superscript 4] model -- Model and Approximating Hamiltonians -- Order parameter and critical exponents -- Long-range order and the r-problem -- Finite-Size Scaling at Criticality -- Finite-size systems and critical phenomena -- Phenomenological finite-size scaling -- Privman-Fisher hypothesis for the free energy -- Definitions of correlation length -- Bulk correlation length -- Finite-size correlation length. |
| Summary |
"The aim of this book is to familiarise the reader with the 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."--Jacket. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Critical phenomena (Physics)
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Critical phenomena (Physics) |
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Finite size scaling (Statistical physics)
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Finite size scaling (Statistical physics) |
| Genre/Form |
Electronic books.
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Electronic books.
|
| Added Author |
Danchev, Daniel M.
|
|
Tonchev, Nicholai S.
|
| Other Form: |
Print version: Brankov, Ĭordan. Theory of critical phenomena in finite-size systems. Singapore ; River Edge, NJ : World Scientific, ©2000 9810239254 (DLC) 99033063 (OCoLC)41387625 |
| ISBN |
9789812813435 (electronic book) |
|
9812813438 (electronic book) |
|
9810239254 |
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9789810239251 |
|
