Cyril Domb0122203127, 9780122203121

The authors have focussed attention on a number of concepts widely used by research workers but needing clarification and more careful definition, like metastable states, clusters, supercooling, spinodal decomposition. The material in this article is of great significance to all who are interested in phase transitions, but it has not in the past been given the attention it deserves. Since the authors have successfully undertaken the huge task of covering the relevant literature and describing its content concisely and coherently, this defect may perhaps be remedided in the near future.

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Table of contents :
Cover page……Page iii.djvu
Contributors……Page v.djvu
General Preface……Page vii.djvu
Preface to Volume 12……Page ix.djvu
Contents……Page xiii.djvu
Contents of Volumes 1-11……Page xv.djvu
1. S. Dietrich. Wetting Phenomena……Page 001.djvu
I. Introduction……Page 002.djvu
II. General aspects……Page 009.djvu
III. Models with short-range interactions……Page 016.djvu
A. Lattice models……Page 017.djvu
B. Van der Waals theory……Page 019.djvu
C. Fluctuation effects……Page 030.djvu
D. Scaling and simulations……Page 038.djvu
IV. Models with long-range interactions……Page 041.djvu
A. Mean-field theory……Page 044.djvu
B. Thermodynamic singularities of wetting transitions……Page 062.djvu
C. Wetting transitions in binary liquid mixtures……Page 067.djvu
A. Wetting of a wall by a one-component system close to its sublimation curve……Page 093.djvu
B. Wetting of a wall by a one-component system close to its gas-liquid coexistence curve……Page 098.djvu
C. Wetting of a wall by a one-component system close to its melting curve……Page 102.djvu
D. Interfacial wetting in binary liquid mixtures……Page 104.djvu
E. Wetting of a wall by binary liquid mixtures……Page 107.djvu
A. Potts model……Page 109.djvu
B. Blume-Capel model……Page 116.djvu
C. Clock models……Page 118.djvu
D. Specific models for chemisorbed monolayers……Page 121.djvu
A. One-density Landau theory……Page 123.djvu
B. Experiments……Page 127.djvu
C. Surfaces of f.c.c. binary alloys and antiferromagnets……Page 128.djvu
A. Surface melting……Page 137.djvu
B. Grain boundary melting……Page 142.djvu
A. Necessity of wetting transitions near critical points……Page 146.djvu
B. Critical adsorption……Page 151.djvu
C. Wetting by a critical phase……Page 154.djvu
X. Non-standard geometries……Page 155.djvu
A. Capillary condensation……Page 156.djvu
B. Curved interfaces……Page 164.djvu
XI. Disorder……Page 167.djvu
A. Random substrate……Page 168.djvu
B. Random bulk……Page 172.djvu
XII. Dynamics……Page 175.djvu
A. Electric charge and non-trivial boundaries……Page 188.djvu
B. Orientational degrees of freedom……Page 191.djvu
C. Quantum mechanics……Page 193.djvu
XIV. Conclusion……Page 194.djvu
References and author index……Page 195.djvu
2. Marcel den Nijs. The Domain Wall Theory of Two-dimensional Commensurate-Incommensurate Phase Transitions……Page 219.djvu
Introduction……Page 220.djvu
A. Commensurate phases and commensurate melting ……Page 221.djvu
B. Incommensurate phases in experiments……Page 224.djvu
C. Domain walls……Page 227.djvu
D. Domain wall models with a lattice cut-off……Page 233.djvu
E. The ANNNI model……Page 238.djvu
F. The chiral 3-state Potts model……Page 240.djvu
G. The helical 3-state Potts model……Page 244.djvu
H. Cell spin models in general……Page 246.djvu
A. Structure of the fermion Hamiltonian……Page 247.djvu
B. The Pokrovsky-Talapov transition……Page 253.djvu
C. Stability of the incommensurate floating solid phase……Page 258.djvu
D. The striped incommensurate fluid phase……Page 263.djvu
E. Interactions between domain walls……Page 271.djvu
F. Extended scaling relations between critical exponents……Page 276.djvu
G. Kosterlitz-Thouless transitions……Page 281.djvu
H. Local structure of the phase diagram……Page 283.djvu
A. Limitations of the fermion theory……Page 286.djvu
B. Chiral melting……Page 288.djvu
C. Chiral cross-over critical exponents……Page 291.djvu
D. The global phase diagram of the chiral 3-state Potts model……Page 293.djvu
E. The global phase diagram of the ANNNI model……Page 298.djvu
F. Isotropic honeycomb domain wall networks……Page 306.djvu
G. Honeycomb domain wall network phases in uniaxial systems……Page 311.djvu
H. Substrate defects……Page 315.djvu
References and author index……Page 317.djvu
Appendix A. The fermion Hamiltonian of the ANNNI model……Page 322.djvu
Appendix B. The fermion Hamiltonian of the chiral 3-state Potts model……Page 324.djvu
Appendix C. The disorder plane in the p=2 fermion Hamiltonian……Page 326.djvu
Appendix D. Umklapp operators……Page 327.djvu
Appendix E. Higher-order C solid phases……Page 329.djvu
3. Paul Meakin. The Growth of Fractal Aggregates and Their Fractal Measures……Page 335.djvu
I. Introduction……Page 336.djvu
A. Fractal geometry……Page 337.djvu
B. Fractal aggregates……Page 341.djvu
C. Physics on fractals……Page 350.djvu
D. Fractal measures……Page 354.djvu
E. Aggregation kinetics……Page 357.djvu
A. Computer models and theoretical approaches……Page 360.djvu
B. Models related to DLA……Page 383.djvu
III. Experimental realizations of DLA……Page 386.djvu
A. Electrochemical deposition processes……Page 387.djvu
B. Fluid-fluid displacement with rheologically complex fluids……Page 391.djvu
C. Fluid-fluid displacement with Newtonian fluids……Page 393.djvu
D. Fluid-fluid displacement in porous media……Page 395.djvu
F. Thin-film deposits……Page 397.djvu
G. Dissolution of porous materials……Page 400.djvu
H. Dielectric breakdown……Page 401.djvu
I. Biological systems……Page 403.djvu
A. Surfaces and interfaces……Page 405.djvu
B. A simple example of a fractal measure……Page 411.djvu
C. The screened growth model……Page 418.djvu
D. The growth probability measure for DLA……Page 423.djvu
V. Cluster-cluster aggregation……Page 430.djvu
A. Diffusion-limited cluster-cluster aggregation……Page 432.djvu
B. Ballistic aggregation……Page 439.djvu
C. Reaction-limited cluster-cluster aggregation……Page 442.djvu
D. Cluster-cluster aggregation experiments……Page 448.djvu
E. The kinetics of cluster-cluster aggregation……Page 454.djvu
F. Experimental aspects of aggregation kinetics……Page 462.djvu
G. Smoluchowski’s equation……Page 465.djvu
VI. Summary……Page 469.djvu
VII. Recent developments……Page 471.djvu
References and author index……Page 477.djvu
Index……Page 491.djvu