Geometrical cluster growth models and kinetic gelation

[1]  Plischke,et al.  Dynamic scaling and the surface structure of Eden clusters. , 1985, Physical review. A, General physics.

[2]  Pietronero.  Survival probability for kinetic self-avoiding walks. , 1985, Physical review letters.

[3]  Kremer,et al.  Kinetic growth models. , 1985, Physical review letters.

[4]  Vicsek.  Formation of solidification patterns in aggregation models. , 1985, Physical review. A, General physics.

[5]  D. Durand,et al.  Mechanical measurements in the reaction bath during the polycondensation reaction, near the gelation threshold , 1985 .

[6]  Jullien.  Comment on "Diffusion limited aggregation in two dimensions" , 1985, Physical review letters.

[7]  Meakin,et al.  Axial inhomogeneity in diffusion-limited aggregation. , 1985, Physical review. A, General physics.

[8]  Brady,et al.  Anisotropy and cluster growth by diffusion-limited aggregation. , 1985, Physical review letters.

[9]  Leibler,et al.  Gelation of polymer solutions: An experimental verification of the scaling behavior of the size distribution function. , 1985, Physical review letters.

[10]  Scher,et al.  Occupancy-probability scaling in diffusion-limited aggregation. , 1985, Physical review letters.

[11]  R. Jullien,et al.  Scaling properties of the surface of the Eden model in d=2, 3, 4 , 1985 .

[12]  Herrmann,et al.  Universality classes for spreading phenomena: A new model with fixed static but continuously tunable kinetic exponents. , 1985, Physical review letters.

[13]  Vicsek,et al.  Scaling in steady-state cluster-cluster aggregation. , 1985, Physical review. A, General physics.

[14]  Vicsek,et al.  Internal structure of diffusion-limited aggregates. , 1985, Physical review. A, General physics.

[15]  Meakin.  Structure of the active zone in diffusion-limited aggregation, cluster-cluster aggregation, and the screened-growth model. , 1985, Physical review. A, General physics.

[16]  Kurt Kremer,et al.  Monte Carlo series analysis of irreversible self-avoiding walks. I. The indefinitely-growing self-avoiding walk (IGSAW) , 1985 .

[17]  Dhar.  Comment on "Eden model in many dimensions" , 1985, Physical review letters.

[18]  Botet,et al.  Surface thickness in the Eden model. , 1985, Physical review letters.

[19]  Plischke,et al.  Plischke and Rácz respond. , 1985, Physical review letters.

[20]  Sander,et al.  Comment on "Active zone of growing clusters: Diffusion-limited aggregation and the Eden model" , 1985, Physical review letters.

[21]  Leo P. Kadanoff,et al.  Simulating hydrodynamics: A pedestrian model , 1985 .

[22]  L. Leibler,et al.  Polydispersity and conformation of diluted branched molecules prepared by cross-linking of polystyrene solutions , 1985 .

[23]  Sander,et al.  Theory of ballistic aggregation. , 1985, Physical review letters.

[24]  Rammal,et al.  Flicker (1/f) noise in percolation networks: A new hierarchy of exponents. , 1985, Physical review letters.

[25]  Rammal,et al.  1/f noise in random resistor networks: Fractals and percolating systems. , 1985, Physical review. A, General physics.

[26]  Dhar,et al.  Classical diffusion on Eden trees. , 1985, Physical review letters.

[27]  R. Botet.  Clustering of clusters processes above their upper critical dimensionalities , 1985 .

[28]  Liang,et al.  Scaling in a ballistic aggregation model. , 1985, Physical review. A, General physics.

[29]  Redner,et al.  Anomalous voltage distribution of random resistor networks and a new model for the backbone at the percolation threshold. , 1985, Physical review. B, Condensed matter.

[30]  Bradley Rm,et al.  Directed aggregation on the Bethe lattice: Scaling, mappings, and universality. , 1985 .

[31]  Hurd,et al.  Diffusion-limited aggregation in two dimensions. , 1985, Physical review letters.

[32]  Meakin,et al.  New kinetic percolation model with diffusion-limited growth. , 1985, Physical review letters.

[33]  P. Strenski,et al.  Extended-range ballistic aggregation: exact results and scaling , 1985 .

[34]  Trugman,et al.  A new kinetic walk and percolation perimeters. , 1985, Physical review. B, Condensed matter.

[35]  P. Meakin.  Two-dimensional simulations of cluster-cluster aggregation and deposition onto a surface , 1985 .

[36]  H. Stanley,et al.  Fractal growth viscous fingers: quantitative characterization of a fluid instability phenomenon , 1985, Nature.

[37]  Wolf,et al.  Fractal aggregates in sputter-deposited NbGe2 films. , 1985, Physical review letters.

[38]  Stanley,et al.  New class of screened growth aggregates with a continuously tunable fractal dimension. , 1985, Physical review. A, General physics.

[39]  M. Plischke,et al.  Active zone of growing clusters: Diffusion-limited aggregation and the Eden model in two and three dimensions. , 1985, Physical review. A, General physics.

[40]  Kremer,et al.  Indefinitely growing self-avoiding walk. , 1985, Physical review letters.

[41]  Roberto Benzi,et al.  On the multifractal nature of fully developed turbulence and chaotic systems , 1984 .

[42]  Tamás Vicsek,et al.  Pattern Formation in Diffusion-Limited Aggregation , 1984 .

[43]  P. Strenski,et al.  Directed diffusion-limited aggregation on the Bethe lattice: Exact results , 1984 .

[44]  Paul Meakin,et al.  Diffusion-limited aggregation in three dimensions: Results from a new cluster-cluster aggregation model , 1984 .

[45]  P. Meakin.  Computer simulation of cluster-cluster aggregation using linear trajectories: Results from three-dimensional simulations and a comparison with aggregates formed using brownian trajectories , 1984 .

[46]  P. Meakin.  The effects of rotational diffusion on the fractal dimensionality of structures formed by cluster–cluster aggregation , 1984 .

[47]  G. Parisi,et al.  Eden Model in Many Dimensions , 1984 .

[48]  B. Halperin,et al.  Percolation on two-dimensional elastic networks with rotationally invariant bond-bending forces , 1984 .

[49]  S. Redner,et al.  Fluctuation effects in Smoluchowski reaction kinetics , 1984 .

[50]  M. Kolb.  Unified Description of Static and Dynamic Scaling for Kinetic Cluster Formation , 1984 .

[51]  H. Stanley,et al.  Direct Tests of the Aharony-Stauffer Argument , 1984 .

[52]  R. Ziff,et al.  Generation of percolation cluster perimeters by a random walk , 1984 .

[53]  P. Meakin.  Diffusion-controlled deposition on surfaces: Cluster-size distribution, interface exponents, and other properties , 1984 .

[54]  H. Stanley,et al.  Breakdown of Alexander-Orbach conjecture for percolation: Exact enumeration of random walks on percolation backbones , 1984 .

[55]  T. Witten,et al.  Space-filling constraint on transport in random aggregates , 1984 .

[56]  R. Botet,et al.  Gelation in kinetic growth models , 1984 .

[57]  Christopher J. Lobb,et al.  Percolative conduction and the Alexander-Orbach conjecture in two dimensions , 1984 .

[58]  H. Eugene Stanley,et al.  Building blocks of percolation clusters: volatile fractals , 1984 .

[59]  Richard F. Voss,et al.  Multiparticle fractal aggregation , 1984 .

[60]  Dietrich Stauffer,et al.  Computer simulation of kinetics of gelation by addition polymerization in a solvent , 1984 .

[61]  L. Pietronero,et al.  Stochastic model for dielectric breakdown , 1984 .

[62]  T. Witten,et al.  Particle aggregation versus cluster aggregation in high dimensions , 1984 .

[63]  R. Jullien,et al.  Size distribution of clusters in irreversible kinetic aggregation , 1984 .

[64]  Z. Rácz,et al.  Active zone of growing clusters: diffusion-limited aggregation and the Eden model , 1984 .

[65]  H. Stanley,et al.  Comment on "Self-Similarity in Irreversible Kinetic Gelation" , 1984 .

[66]  M. Sano,et al.  Fractal structures of zinc metal leaves grown by electrodeposition , 1984 .

[67]  H. Stanley,et al.  Relation between dynamic transport properties and static topological structure for the lattice-animal model of branched polymers , 1984 .

[68]  H. Stanley,et al.  New method for growing branched polymers and large percolation clusters belowpc , 1984 .

[69]  J. Nadal,et al.  Directed diffusion-controlled aggregation versus directed animals , 1984 .

[70]  J. Vannimenus,et al.  Models of cluster growth on the Cayley tree , 1984 .

[71]  G. Chester,et al.  4He n‐mers and Bose–Einstein condensation in He II , 1984 .

[72]  Dale W. Schaefer,et al.  Fractal geometry of colloidal aggregates , 1984 .

[73]  D. Stauffer,et al.  Possible Breakdown of the Alexander-Orbach Rule at Low Dimensionalities , 1984 .

[74]  J. Willemsen.  Investigation on Scaling and Hyperscaling for Invasion Percolation , 1984 .

[75]  I. Webman,et al.  Elastic Properties of Random Percolating Systems , 1984 .

[76]  Tamás Vicsek,et al.  Dynamic Scaling for Aggregation of Clusters , 1984 .

[77]  L. Pietronero,et al.  "True" self-avoiding walk in one dimension , 1984 .

[78]  R. C. Ball,et al.  Fractal growth of copper electrodeposits , 1984, Nature.

[79]  L. Paterson,et al.  Diffusion-Limited Aggregation and Two-Fluid Displacements in Porous Media , 1984 .

[80]  D. Weitz,et al.  Fractal structures formed by kinetic aggregation of aqueous gold colloids , 1984 .

[81]  Robin Ball,et al.  Diffusion-controlled aggregation in the continuum approximation , 1984 .

[82]  H. Stanley,et al.  Screening of Deeply Invaginated Clusters and the Critical Behavior of the Random Superconducting Network , 1984 .

[83]  L. Pietronero,et al.  Fractal Dimension of Dielectric Breakdown , 1984 .

[84]  P. Meakin.  Cluster-particle aggregation with fractal (Levy flight) particle trajectories , 1984 .

[85]  P. Meakin.  Diffusion-controlled aggregation on two-dimensional square lattices: Results from a new cluster-cluster aggregation model , 1984 .

[86]  L. L. Moseley,et al.  Real-space renormalization group for kinetic gelation , 1984 .

[87]  H. Hentschel,et al.  Flory-type approximation for the fractal dimension of cluster-cluster aggregates , 1984 .

[88]  D. Stauffer,et al.  Diffusion on random clusters and the parasite problem , 1984 .

[89]  Fereydoon Family,et al.  Experimental realization of true self-avoiding walks , 1984 .

[90]  F. Leyvraz,et al.  Large-time behavior of the Smoluchowski equations of coagulation , 1984 .

[91]  P. Meakin.  Effects of cluster trajectories on cluster-cluster aggregation: A comparison of linear and Brownian trajectories in two- and three-dimensional simulations , 1984 .

[92]  F. Family,et al.  Cell renormalisation of growth processes: 'true' self-avoiding walks and growing animals , 1984 .

[93]  Dietrich Stauffer,et al.  Diffusion on random systems above, below, and at their percolation threshold in two and three dimensions , 1984 .

[94]  H. Hentschel.  Fractal Dimension of Generalized Diffusion-Limited Aggregates , 1984 .

[95]  Karl F. Freed,et al.  Theta point (‘‘tricritical’’) region behavior for a polymer chain: Transition to collapse , 1984 .

[96]  Tamás Vicsek,et al.  Diffusion-controlled deposition: cluster statistics and scaling , 1983 .

[97]  Paul Meakin,et al.  Cluster-growth processes on a two-dimensional lattice , 1983 .

[98]  F. Family.  Self-similarity in irreversible kinetic gelation , 1983 .

[99]  P. Meakin.  The Vold-Sutherland and Eden models of cluster formation , 1983 .

[100]  F. Leyvraz,et al.  To What Class of Fractals Does the Alexander-Orbach Conjecture Apply? , 1983 .

[101]  P. Meakin.  Effects of particle drift on diffusion-limited aggregation , 1983 .

[102]  H. Eugene Stanley,et al.  Spectral dimension for the diffusion-limited aggregation model of colloid growth , 1983 .

[103]  E. Domany,et al.  Crossover of Fractal Dimension in Diffusion-Limited Aggregates , 1983 .

[104]  David Wilkinson,et al.  Invasion percolation: a new form of percolation theory , 1983 .

[105]  Rémi Jullien,et al.  Scaling of Kinetically Growing Clusters , 1983 .

[106]  P. Meakin.  Formation of fractal clusters and networks by irreversible diffusion-limited aggregation , 1983 .

[107]  P. Meakin.  Diffusion‐controlled flocculation: The effects of attractive and repulsive interactions , 1983 .

[108]  F. Leyvraz,et al.  Existence and properties of post-gel solutions for the kinetic equations of coagulation , 1983 .

[109]  B. Nickel,et al.  Invasion Percolation on the Cayley Tree: Exact Solution of a Modified Percolation Model , 1983 .

[110]  S. Wolfram.  Statistical mechanics of cellular automata , 1983 .

[111]  H. Meirovitch.  Computer simulation of self-avoiding walks: Testing the scanning method , 1983 .

[112]  M. Nauenberg.  Critical growth velocity in diffusion-controlled aggregation , 1983 .

[113]  Robert M. Ziff,et al.  Coagulation equations with gelation , 1983 .

[114]  P. Meakin.  Diffusion-controlled deposition on fibers and surfaces , 1983 .

[115]  L. Pietronero.  Critical dimensionality and exponent of the "true" self-avoiding walk , 1983 .

[116]  J. Spouge.  The size distribution for theAgRBf−g Model of polymerization , 1983 .

[117]  D. Stauffer,et al.  Computer simulation of a model for irreversible gelation , 1983 .

[118]  D. Heermann,et al.  Nucleation and Growth of Nonclassical Droplets , 1983 .

[119]  P. Grassberger.  On the critical behavior of the general epidemic process and dynamical percolation , 1983 .

[120]  M. Muthukumar,et al.  Mean-Field Theory for Diffusion-Limited Cluster Formation , 1983 .

[121]  Z. Alexandrowicz,et al.  Self-Avoiding Walks of Continuous Spatial Dimensionality , 1983 .

[122]  Paul Meakin,et al.  Diffusion-controlled cluster formation in 2—6-dimensional space , 1983 .

[123]  H. Gould,et al.  Kinetics of Formation of Randomly Branched Aggregates: A Renormalization-Group Approach , 1983 .

[124]  Daniel J. Amit,et al.  Asymptotic behavior of the "true" self-avoiding walk , 1983 .

[125]  A. Coniglio.  Cluster structure near the percolation threshold , 1982 .

[126]  Bernard Nienhuis,et al.  Exact Critical Point and Critical Exponents of O ( n ) Models in Two Dimensions , 1982 .

[127]  Sidney Redner,et al.  A FORTRAN program for cluster enumeration , 1982 .

[128]  Robert M. Ziff,et al.  Critical Properties for Gelation: A Kinetic Approach , 1982 .

[129]  D. Stauffer,et al.  New Universality Class for Kinetic Gelation , 1982 .

[130]  Per Arne Rikvold,et al.  Simulations of a stochastic model for cluster growth on a square lattice , 1982 .

[131]  F. Leyvraz,et al.  Critical kinetics near gelation , 1982 .

[132]  Joel Koplik,et al.  Capillary displacement and percolation in porous media , 1982, Journal of Fluid Mechanics.

[133]  F. Leyvraz,et al.  Singularities in the kinetics of coagulation processes , 1981 .

[134]  L. Sander,et al.  Diffusion-limited aggregation, a kinetic critical phenomenon , 1981 .

[135]  Charles M. Newman,et al.  Infinite clusters in percolation models , 1981 .

[136]  Antonio Coniglio,et al.  Thermal Phase Transition of the Dilute s -State Potts and n -Vector Models at the Percolation Threshold , 1981 .

[137]  D. Durand,et al.  Mechanical properties near gelation threshold, comparison with classical and 3d percolation theories , 1981 .

[138]  Benoit B. Mandelbrot,et al.  Critical Phenomena on Fractal Lattices , 1980 .

[139]  Robert M. Ziff,et al.  Kinetics of polymerization , 1980 .

[140]  Amnon Aharony,et al.  Universal critical amplitude ratios for percolation , 1980 .

[141]  Jean Zinn-Justin,et al.  Critical exponents from field theory , 1980 .

[142]  D. Stauffer.  Monte Carlo Study of Density Profile, Radius, and Perimeter for Percolation Clusters and Lattice Animals , 1978 .

[143]  Jean Zinn-Justin,et al.  Critical Exponents for the N Vector Model in Three-Dimensions from Field Theory , 1977 .

[144]  P. Leath.  Cluster Shape and Critical Exponents near Percolation Threshold , 1976 .

[145]  A. A Lushnikov,et al.  Evolution of coagulating systems , 1973 .

[146]  D. Downham,et al.  Growth of Abnormal Cells , 1973, Nature.

[147]  D. Mollison,et al.  Conjecture on the Spread of Infection in Two Dimensions Disproved , 1972, Nature.

[148]  T. Williams,et al.  Stochastic Model for Abnormal Clone Spread through Epithelial Basal Layer , 1972, Nature.

[149]  Z. Alexandrowicz,et al.  Monte Carlo of Chains with Excluded Volume: a Way to Evade Sample Attrition , 1969 .

[150]  D. Sutherland,et al.  Comments on Vold's simulation of floc formation , 1966 .

[151]  A. W. Rosenbluth,et al.  MONTE CARLO CALCULATION OF THE AVERAGE EXTENSION OF MOLECULAR CHAINS , 1955 .

[152]  Walter H. Stockmayer,et al.  Theory of Molecular Size Distribution and Gel Formation in Branched‐Chain Polymers , 1943 .

[153]  Paul J. Flory,et al.  Molecular Size Distribution in Three Dimensional Polymers. I. Gelation1 , 1941 .

[154]  N. Boccara,et al.  Physics of Finely Divided Matter , 1985 .

[155]  H. Stanley,et al.  On Growth and Form , 1985 .

[156]  Vicsek,et al.  Dynamic cluster-size distribution in cluster-cluster aggregation: Effects of cluster diffusivity. , 1985, Physical review. B, Condensed matter.

[157]  H. Stanley,et al.  THE KINETIC GROWTH WALK: A NEW MODEL FOR LINEAR POLYMERS , 1984 .

[158]  R. Pandey.  Computer simulation of irreversible kinetic gelation: Crossover between random and kinetic growth, radical conservation, poisons, and chain-preferred reactions , 1984 .

[159]  J. Spouge.  Equilibrium polymer size distributions , 1983 .

[160]  Paul Meakin,et al.  Diffusion-controlled cluster formation in two, three, and four dimensions , 1983 .

[161]  Yasuji Sawada,et al.  Self-similarity and a phase-transition-like behavior of a random growing structure governed by a nonequilibrium parameter , 1982 .

[162]  I. Webman,et al.  A Monte Carlo study of the collapse of a polymer chain , 1981 .

[163]  D. N. Sutherland,et al.  Floc simulation: The effect of collision sequence , 1971 .