Fractals in Physics

Content: 
Front Matter, Page iii
Copyright, Page iv
PREFACE, Page v, L. Pietronero
SELF-AFFINE FRACTAL SETS, I: THE BASIC FRACTAL DIMENSIONS, Pages 3-15, Benoit B. MANDELBROT
SELF-AFFINE FRACTAL SETS, II: LENGTH AND SURFACE DIMENSIONS, Pages 17-20, Benoit B. MANDELBROT
SELF-AFFINE FRACTAL SETS, III: HAUSDORFF DIMENSION ANOMALIES AND THEIR IMPLICATIONS, Pages 21-28, Benoit B. MANDELBROT
RANDOM FRACTALS, FLOW FRACTALS AND THE RENORMALISATION GROUP, Pages 29-32, John MELROSE
ON FINITELY RAMIFIED FRACTALS AND THEIR EXTENSIONS, Pages 33-36, R. HILFER, A. BLUMEN
STRUCTURE OF RANDOM SILICATES: POLYMERS, COLLOIDS, AND POROUS SOLIDS, Pages 39-45, D.W. SCHAEFER, K.D. KEEFER
INTERACTION OF FRACTALS WITH FRACTALS: ADSORPTION OF POLYSTYRENE ON POROUS Al2O3, Pages 47-53, Peter PFEIFER
SCATTERING BY FRACTALS, Pages 55-60, Eric JAKEMAN
OPTICAL FOURIER TRANSFORMS OF FRACTALS, Pages 61-64, Catherine ALLAIN, Michel CLOITRE
ON THE MEASURE OF FRACTAL DIMENSIONALITIES THROUGH PHYSICAL PROPERTIES, Pages 65-69, Constantino TSALLIS
RANDOM WALKS WITH MEMORY, Pages 73-81, L. PELITI
SURVIVAL PROBABILITY AND ENHANCEMENT FACTOR IN POLYMER STATISTICS, Pages 83-86, L. PIETRONERO, L. PELITI
THE LAPLACIAN RANDOM WALK, Pages 87-92, J.W. LYKLEMA, Carl EVERTSZ
KINETICALLY GROWING SELF-AVOIDING WALKS, Pages 93-96, J.W. LYKLEMA
THE COIL-GLOBULE TRANSITION IN 2-DIMENSIONS, Pages 97-99, Naeem JAN, Antonio CONIGLIO, Imtiaz MAJID, H. Eugene STANLEY
SELF-SIMILARITY OF MUTUAL AND SELF-INTERSECTIONS OF RANDOM FRACTALS, Pages 101-106, A.L. STELLA, R. DEKEYSER, A. MARITAN
STATISTICAL MECHANICS OF SELF-AVOIDING RANDOM SURFACES, Pages 107-110, Amos MARITAN, Attilio L. STELLA
BETHE - LIKE APPROXIMATION FOR SELF-AVOIDING RANDOM WALKS AND SURFACES (AND FRUSTRATIONS), Pages 111-114, Andrea CAPPELLI, Roberto LIVI, Amos MARITAN, Stefano RUFFO
ON THE SELF-AVOIDING WALKS ON DISORDERED LATTICES, Pages 115-118, S. MILOŠEVIĆ, A. CHERNOUTSAN
PROTEINS IN THE EXPERIMENT, Pages 119-122, Y.S. YANG
FRACTAL DIMENSION AND THE SYNTHESIS OF BRANCHED POLYMERS, Pages 125-128, Z. ALEXANDROWICZ
FRACTAL DIMENSIONALITIES OF BACKBONES AND CLUSTERS IN A KINETIC GELATION MODEL, Pages 129-131, Ashvin CHHABRA, H.J. HERRMANN, D.P. LANDAU
A LATTICE MAGNETIC MODEL FOR BRANCHED POLYMERS AND THE SOL-GEL TRANSITION, Pages 133-135, Agustín E. GONZALEZ
PERCOLATION IN A CONCENTRATION GRADIENT, Pages 137-140, Jean-François GOUYET, Michel ROSSO, Bernard SAPOVAL
SURFACE TENSION IN POTTS MODELS AND PERCOLATION, Pages 141-144, C.K. HARRIS
PERCOLATION ON THE DAP, Pages 145-148, R. DEWAR, C.K. HARRIS
PROPERTIES OF LAPLACIAN FRACTALS FOR DIELECTRIC BREAKDOWN IN 2 AND 3 DIMENSIONS, Pages 151-157, H.J. WIESMANN, L. PIETRONERO
SCALING PROPERTIES OF GROWING ZONE AND CAPACITY OF LAPLACIAN FRACTALS, Pages 159-163, L. PIETRONERO, C. EVERTSZ, H.J. WIESMANN
AN INFINITE HIERARCHY OF EXPONENTS TO DESCRIBE GROWTH PHENOMENA, Pages 165-168, Antonio CONIGLIO
2-D DIELECTRIC BREAKDOWN BETWEEN PARALLEL LINES, Pages 169-171, Michael MURAT
DIELECTRIC BREAKDOWN IN THREE DIMENSIONS, Pages 173-176, S. SATPATHY
THE FRACTAL NATURE OF FRACTURE, Pages 177-180, E. LOUIS, F. GUINEA, F. FLORES
PATTERN FORMATION OF DENDRITIC FRACTALS IN FRACTURE AND ELECTRIC BREAKDOWN, Pages 181-184, Hideki TAKAYASU
COLLAPSE OF LOADED FRACTAL TREES, Pages 185-188, Sara A. SOLLA
FRACTALS AND THE FRACTURE OF CRACKED METALS, Pages 189-192, C.W. LUNG
WHEN ARE VISCOUS FINGERS FRACTAL?, Pages 193-202, Johann NITTMANN, Gérard DACCORD, H. Eugene STANLEY
SOME RECENT ADVANCES IN THE SIMULATION OF DIFFUSION LIMITED AGGREGATION AND RELATED PROCESSES, Pages 205-212, Paul MEAKIN
INTERNAL ANISOTROPY OF DIFFUSION-LIMITED AGGREGATES, Pages 213-216, Paul MEAKIN, Tamás VICSEK
GROWING INTERFACE IN DIFFUSION-LIMITED AGGREGATION AND IN THE EDEN PROCESS, Pages 217-222, M. PLISCHKE, Z. RÁCZ
STICKING PROBABILITY SCALING IN DIFFUSION-LIMITED AGGREGATION, Pages 223-229, Leonid A. TURKEVICH, Harvey SCHER
CONE ANGLE PICTURE AND ANISOTROPY IN DLA CLUSTER GROWTH, Pages 231-236, Giuseppe ROSSI, Bernard R. THOMPSON, Robin C. BALL, Robert M. BRADY
GROWTH OF ANISOTROPIC DLA CLUSTERS, Pages 237-240, Bernard R. THOMPSON, Giuseppe ROSSI, Robin C. BALL, Robert M. BRADY
CONTINUUM DLA: RANDOM FRACTAL GROWTH GENERATED BY A DETERMINISTIC MODEL, Pages 241-246, Leonard M. SANDER
FORMATION OF SOLIDIFICATION PATTERNS IN AGGREGATION MODELS, Pages 247-250, Tamás VICSEK
SCALING PROPERTIES OF THE SURFACE OF THE EDEN MODEL, Pages 251-253, R. JULLIEN, R. BOTET
CLUSTER AGGREGATION, Pages 255-258, R. BOTET, R. JULLIEN, M. KOLB
ANISOTROPY IN CLUSTER AND PARTICLE AGGREGATION, Pages 259-261, M. KOLB
REVERSIBILITY IN CLUSTER AGGREGATION, Pages 263-266, M. KOLB
FILM ON AGGREGATION PROCESSES, Pages 267-268, M. KOLB
FIELD THEORY APPROACH TO THE EDEN MODEL AND DIFFUSION LIMITED-AGGREGATION, Pages 269-272, Luca PELITI, ZHANG Yi-Cheng
SPREADING OF EPIDEMIC PROCESSES LEADING TO FRACTAL STRUCTURES, Pages 273-278, Peter GRASSBERGER
RANDOM RAIN SIMULATIONS OF DENDRITIC GROWTH, Pages 279-282, B. CAPRILE, A.C. LEVI, L. LIGGIERI
EXPERIMENTAL STUDY OF TWO DIMENSIONAL AGGREGATION, Pages 283-285, Catherine ALLAIN, Michel CLOITRE
KINETICS OF CLUSTERING IN IRREVERSIBLE AGGREGATION, Pages 289-302, M.H. ERNST
TAIL DISTRIBUTION FOR LARGE CLUSTERS IN IRREVERSIBLE AGGREGATION, Pages 303-307, P.G.J. VAN DONGEN, M.H. ERNST
SCALING GENERALIZATION OF THE SMOLUCHOWSKI EQUATION, Pages 309-312, Zoltán RÁCZ
CLUSTERING IN THE UNIVERSE, Pages 313-318, Francesco LUCCHIN
STOCHASTIC APPROACH TO LARGE SCALE CLUSTERING OF MATTER IN THE UNIVERSE, Pages 319-324, L. PIETRONERO, R. KUPERS
FRACTAL SURFACES AND THE DE GENNES TERMITE MODEL FOR A TWO-COMPONENT RANDOM MATERIAL, Pages 327-335, H. Eugene STANLEY
DYNAMICAL PROPERTIES OF RANDOM AND NON-RANDOM FRACTALS, Pages 337-342, Robin STINCHCOMBE
THE ELASTIC BEHAVIOR OF FRACTAL STRUCTURES, Pages 343-349, Itzhak WEBMAN
STATIC AND DYNAMIC PROPERTIES OF LOOPLESS AGGREGATES, Pages 351-356, S. HAVLIN
THE FRACTAL DIMENSION OF GROWTH PERIMETERS, Pages 357-360, Alla E. MARGOLINA
PERCOLATION AND FRACTAL BEHAVIOR IN DISORDERED LATTICES, Pages 361-364, Panos ARGYRAKIS
HIERARCHICAL FRACTAL GRAPHS AND WALKS THEREUPON, Pages 365-368, John MELROSE
FRACTAL-LIKE EXCITON DYNAMICS: GEOMETRICAL AND ENERGETICAL DISORDER, Pages 369-371, Raoul KOPELMAN
NYQUIST, DIFFUSION and FLICKER (1/f) NOISE IN FRACTALS AND PERCOLATING NETWORKS, Pages 373-378, Rammal RAMMAL
A REAL-SPACE RENORMALIZATION GROUP APPROACH TO ELECTRICAL AND NOISE PROPERTIES OF PERCOLATION CLUSTERS, Pages 379-382, J.M. LUCK
THEORY OF THE AC RESPONSE OF ROUGH INTERFACES, Pages 383-389, S.H. LIU, T. KAPLAN, L.J. GRAY
THE NATURE OF TEMPORAL HIERARCHIES UNDERLYING RELAXATION IN DISORDERED SYSTEMS, Pages 393-398, Michael F. SHLESINGER, Joseph KLAFTER
REACTIONS IN DISORDERED MEDIA MODELLED BY FRACTALS, Pages 399-408, A. BLUMEN, J. KLAFTER, G. ZUMOFEN
SELF-SIMILAR TEMPORAL BEHAVIOR OF RANDOM WALKS IN ONE-DIMENSIONAL RANDOM MEDIA, Pages 409-412, J. BERNASCONI, W.R. SCHNEIDER
AN OBSERVATION OF SCALING IN TRAPPING REACTIONS, Pages 413-416, Zoran B. DJORDJEVIC
HIERARCHICALLY CONSTRAINED THERMODYNAMICS IN METASTABLE SYSTEMS AND GLASSES, Pages 417-420, L. PIETRONERO
FRACTAL CLUSTERS AND SCALING IN THE ISING MODEL, Pages 421-426, J.L. CAMBIER, M. NAUENBERG
DEVIL'S STAIRCASE AND STRANGE ATTRACTOR IN THE ISING MODEL WITH COMPETING INTERACTIONS, Pages 427-430, M.J. de OLIVEIRA, S.R. SALINAS, C.S.O. YOKOI
PROBLEMS ABOUT THE SELF-SIMILAR STRUCTURE OF WAVEFUNCTIONS IN DISORDERED SYSTEMS, Pages 431-435, A.P. SIEBESMA, L. PIETRONERO
CIRCLE MAPS IN THE COMPLEX PLANE, Pages 439-445, Predrag CVITANOVIĆ, Mogens H. JENSEN, Leo P. KADANOFF, Itamar PROCACCIA
FRACTAL MODELS FOR TWO- AND THREE-DIMENSIONAL TURBULENCE, Pages 447-452, G. PALADIN, A. VULPIANI
NUMERICAL INVESTIGATION OF NONUNIFORM FRACTALS, Pages 453-456, Remo BADII, Antonio POLITI
GENERALISED SCALE INVARIANCE AND ANISOTROPIC INHOMOGENEOUS FRACTALS IN TURBULENCE, Pages 457-460, Daniel SCHERTZER, Shaun LOVEJOY
ANALYSIS OF THE FRACTAL SHAPE OF SEVERE CONVECTIVE CLOUDS, Pages 461-464, Franz S. RYS, A. WALDVOGEL
NESTED CELLULAR AUTOMATA: CONTINUOUS ASPECTS OF DISCRETE SYSTEMS, Pages 465-468, Uwe QUASTHOFF
THE HYPERBOLIC HELIX HYPOTHESIS: STAPLETON'S FRACTAL MEASURE ON THE HYDROPHOBIC FREE ENERGY MODE DISTRIBUTIONS OF ALLOSTERIC PROTEINS, Pages 469-474, Arnold J. MANDELL
AUTHOR INDEX, Pages 475-476
NAMARRKON—THE LIGHTNING SPIRIT, Page ibc1