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Characterization and Measurement
Introduction to Scaling Concepts
Growth by Particle Aggregation
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Aharony attractor automata average behavior binary bonds calculated cellular automaton chain colloid concentration configurations constant correlation function correlation length corresponds critical exponents crossover curve density dependence described diffusion dilute dimensionality discussed distribution domain wall dynamics effects electronic energy equation Euclidean experimental experiments Figure finite fluid fractal dimension fracton frequency Gennes growth hydrodynamic radius infinite cluster interaction interface Ising model kinetics lattice length scale Lett light scattering limit linear magnetic Mandelbrot Meakin measurements monomers neutron scattering obtained Orbach parameter particles pattern percolation cluster percolation threshold phase phonon Phys Rev Physics plot polymer power law probability problem properties random field random walk range regime relation relaxation rate rule sample scattering intensity self-similar shown shows simulations Smoluchowski solution space spin Stanley structure surface symmetry temperature theory transition viscosity zero