Fractals in physics : proceedings of the Sixth Trieste International Symposium on Fractals in Physics, ICTP, Trieste, Italy, July 9-12, 1985 /

The concepts of self-similarity and scale invariance have arisen independently in several areas. One is the study of the critical properties of phase transitions; another is fractal geometry, which involves the concept of (non-integer) fractal dimension. These two areas have now come together, and t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores Corporativos: International Symposium on Fractals in Physics Trieste, Italy, International Centre for Theoretical Physics
Otros Autores: Pietronero, L. (Luciano), Tosatti, E. (Erio)
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science, �1986.
Temas:
Fractals > Congresses.
Mathematical physics > Congresses.
Irreversible processes > Congresses.
Fractales > Congr�es.
Physique math�ematique > Congr�es.
Processus irr�eversibles > Congr�es.
SCIENCE > Energy.
SCIENCE > Mechanics > General.
SCIENCE > Physics > General.
Fractals.
Irreversible processes.
Mathematical physics.
Niet-lineaire dynamica.
Onomkeerbaarheid.
Fisica Matematica.
Physics > Mathematics > Fractal sets
Congress
Conference papers and proceedings.
Actes de congr�es.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover; Fractals in Physics; Copyright Page; PREFACE; Table of Contents; Part I: GENERAL PROPERTIESOF FRACTALS; CHAPTER 1. SELF-AFFINE FRACTAL SETS, I: THE BASIC FRACTAL DIMENSIONS; 1. INTRODUCTION; 2. THE NOTIONS OF AFFINITY, DIAGONALAFFINITY, AND SELF-AFFINITY; 3. THE MULTIPLE FRACTAL DIMENSIONS OF A SELF AFFINE SET; 4. THE GAP DIMENSION; 5. SELF-AFFINE PLANAR FRACTAL CURVESDEFINED AS RECORDS OF FUNCTIONS; 6. SELF-AFFINE RECURSIVE PLANAR FRACTALSWHOSE PROJECTIONS FILL THE AXES; 7. SELF-AFFINE PLANAR RECURSIVE FRACTALS AT LEAST ONE OF WHOSE PROJECTIONS IS A SIMPLE CANTOR DUST.
  • 8. self-affine surfaces9. comment on ""physical"" extrapolationversus ""mathematical"" interpolation; chapter 2. self-affine fractal sets, ii: length and surface dimensions; 1. introduction; 2. measuring the length of self-affine fractal curves obtained as records of functions; 3. measuring the length of other self-affine curves, including peano motiontrails; 4. the schwarz area paradox; 5. measuring the area of self-affine fractal surfaces obtained as recordsof functions; chapter 3. self-affine fractal sets, iii:hausdorff dimension anomalies and their implications; 1. introduction.
  • 2. a theorem yielding dhb and corollary3. expression for the vertical anomaly a""=dbl-dhb; 4. horizontal cuts' dimension; 5. a global counterpart, d*, for dhb, and the horizontal anomaly a' =d*-dbg; 6. self-affine continuous records notcovered by theorem a; 7. other random self-affine sets not covered by theorem a; 8. discussion; chapter 4. random fractals, flow fractals and the renormalisation group; 1. introduction; 2. construction; 3. expectations; 4. subsets of known modes; conclusions and outlook; acknowledgement; references; chapter 5. on finitely ramified fractals and their extensions.
  • ACKNOWLEDGEMENTREFERENCES; Part II: ANALYSIS OFFRACTAL PROPERTIES OF MATERIALS; CHAPTER 6. STRUCTURE OF RANDOM SILICATES: POLYMERS, COLLOIDS, AND POROUS SOLIDS*; 1. INTRODUCTION; 2. SCATTERING TECHNIQUES; 3. SILICATE POLYMERS; 4. SUPERMOLECULAR STRUCTURES; 5. POROUS SOLIDS; 6. CONCLUSION; REFERENCES; CHAPTER 7. INTERACTION OF FRACTALS WITH FRACTALS: ADSORPTION OF POLYSTYRENE ON POROUS A1203 .; 1. INTRODUCTION, STATEMENT OF THE PROBLEM; 2. THE FUNCTION n(r) IN TERMS OF D, Dcsol, Dcads; 3. THE PORE-SIZE DISTRIBUTION OF A1203; 4. DISCUSSION, THE ENTROPY BARRIER; 5. CONCLUSIONS; ACKNOWLEDGMENTS.

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