Phase Transitions and Critical Phenomena, Vol. 10 0122203100, 9780122203107

Table of contents :
Cover page......Page iv_0001.djvu
Contributors......Page vi_0001.djvu
General Preface......Page vii_0001.djvu
Preface to Volume 10......Page ix_0001.djvu
Contents......Page xi_0001.djvu
Contents of Volumes 1-9......Page xiii_0001.djvu
D. B. Abraham. Surface Structures and Phase Transitions - Exact Results......Page 001_0001.djvu
I. Introduction......Page 002_0001.djvu
A. General description of phase transition......Page 005_0001.djvu
B. Spin configurations and contours......Page 007_0001.djvu
C. Interfacial free energy - planar models......Page 009_0001.djvu
D. Alternative definitions of interfacial free energy......Page 013_0001.djvu
A. Magnetization profile......Page 017_0001.djvu
B. Energy density......Page 020_0001.djvu
2. Translational symmetry-breaking fields......Page 021_0001.djvu
3. Brownian bridge......Page 022_0001.djvu
A. Bricmont-Lebowitz-Pfister procedure......Page 023_0001.djvu
B. Convolution method......Page 025_0001.djvu
C. Fluctuation formulae......Page 026_0001.djvu
A. Interfacial free energy......Page 027_0001.djvu
B. Deformations of the domain wall......Page 030_0001.djvu
D. Step free energy......Page 031_0001.djvu
References......Page 069_0001.djvu
H.W. Diehl. Field-theoretical Approach to Critical Behaviour at Surfaces......Page 075_0001.djvu
A. Surface and finite-size effects......Page 076_0001.djvu
B. Related questions and phenomena......Page 081_0001.djvu
C. Plan of presentation......Page 082_0001.djvu
A. The Ising model with a free surface - a simple example......Page 083_0001.djvu
B. Continuum approach and continuum models......Page 088_0001.djvu
C. Landau theory......Page 098_0001.djvu
1. Thermodynamic surface quantities......Page 109_0001.djvu
2. Critical exponents......Page 111_0001.djvu
3. Scaling laws......Page 113_0001.djvu
III. Renormalization group for the semi-infinite n-vector model......Page 116_0001.djvu
A. Heuristic approach......Page 117_0001.djvu
B. Renormalization......Page 123_0001.djvu
C. Renormalization group analysis......Page 150_0001.djvu
A. Other geometries......Page 226_0001.djvu
B. Dynamics......Page 245_0001.djvu
C. Surface spin anisotropies......Page 250_0001.djvu
V. Conclusion - summary and outlook......Page 256_0001.djvu
Appendix......Page 259_0001.djvu
References......Page 260_0001.djvu
David Jasnow. Renormalization Group Theory of Interfaces......Page 269_0001.djvu
A. Perspective and statement of scope......Page 270_0001.djvu
B. Background on interfaces and phase coexistence......Page 272_0001.djvu
C. What to expect......Page 275_0001.djvu
A. Long-wavelength description......Page 276_0001.djvu
B. Thermodynamics and boundary conditions......Page 277_0001.djvu
C. The classical solution......Page 280_0001.djvu
D. Additional phenomenology and recapitulation......Page 283_0001.djvu
A. The fluctuation operator......Page 286_0001.djvu
B. Goldstone modes......Page 289_0001.djvu
C. The drumhead model and interface stability......Page 290_0001.djvu
D. Digression: some rigorous results......Page 292_0001.djvu
E. Drumhead model continued......Page 295_0001.djvu
IV. Renormalization group studies......Page 297_0001.djvu
A. Renormalization of the Hamiltonian and generating functions......Page 298_0001.djvu
B. Order parameter profile, d=4-epsilon......Page 301_0001.djvu
C. Surface tension......Page 306_0001.djvu
D. Order parameter profile for a scalar system in d=3......Page 308_0001.djvu
E. The physical space profile and comparison with experiment......Page 312_0001.djvu
F. Tricritical profile......Page 315_0001.djvu
G. Domain wall......Page 319_0001.djvu
H. Additional renormalization group calculations......Page 326_0001.djvu
A. Drumhead model recapitulation......Page 336_0001.djvu
B. Perturbation theory......Page 337_0001.djvu
C. Renormalization and scaling......Page 338_0001.djvu
D. Discussion......Page 340_0001.djvu
VI. Interface dynamics near equilibrium......Page 342_0001.djvu
A. Dynamical renormalization group: basics......Page 343_0001.djvu
B. Lagrangian formulation for dynamics......Page 346_0001.djvu
C. System with an interface......Page 349_0001.djvu
D. Dynamical properties at one-loop order......Page 352_0001.djvu
E. Discussion of the O(epsilon) interfacial dynamics......Page 354_0001.djvu
F. Low-temperature approach to dynamics......Page 355_0001.djvu
VII. Concluding remarks......Page 357_0001.djvu
Acknowledgements......Page 358_0001.djvu
References......Page 359_0001.djvu
Index......Page 365_0001.djvu

Polecaj historie

Phase Transitions and Critical Phenomena, Vol. 2 012220302X, 9780122203022

The authors have focussed attention on a number of concepts widely used by research workers but needing clarification an

535 88 4MB Read more

Phase Transitions and Critical Phenomena, Vol. 3 0122203038, 9780122203039

389 88 8MB Read more

Elements of Phase Transitions and Critical Phenomena (Oxford Graduate Texts) [1 ed.] 0199577226, 9780199577224

As an introductory account of the theory of phase transitions and critical phenomena, this book reflects lectures given

570 97 3MB Read more

Phase Transitions 9781400838929

Phase transitions--changes between different states of organization in a complex system--have long helped to explain phy

182 33 10MB Read more

Gibbs Measures and Phase Transitions [2nd ext. ed.] 9783110250329, 9783110250299

A work of outstanding scholarship Covers in depth a broad range of topics in the mathematical theory of phase transition

235 29 23MB Read more

Critical Transitions in Nature and Society 9781400833276

How do we explain the remarkably abrupt changes that sometimes occur in nature and society--and can we predict why and w

169 60 13MB Read more

Phase Transitions in Materials [2 ed.] 1108485782, 9781108485784

The new edition of this popular textbook provides a fundamental approach to phase transformations and thermodynamics of

644 123 26MB Read more

Transitions de phase et groupe de renormalisation 9782759801503

Le but de cet ouvrage est de familiariser le lecteur avec un concept, le groupe de renormalisation, qui fournit des outi

172 15 20MB Read more

Phase Transitions in Materials [2 ed.] 1108485782, 9781108485784

The new edition of this popular textbook provides a fundamental approach to phase transformations and thermodynamics of

575 139 24MB Read more

Critical Transitions in Nature and Society 0691122040, 9780691122045

"Offers an introduction to critical transitions in complex systems - the radical changes that happen at tipping poi

441 60 34MB Read more