Scaling Phenomena in Disordered SystemsRoger Pynn, Arne Skjeltorp This volume comprises the proceedings of a NATO Advanced Study Institute held in Geilo, Norway, between 8-19 April 1985. Although the principal support for the meeting was provided by the NATO Committee for Scientific Affairs, a number of additional sponsors also contributed, allowing the assembly of an unusually large number of internationally rec ognized speakers. Additional funds were received from: EXXON Research and Engineering Co. IBM (Europe) Institutt for energiteknikk (NorwaY) Institut Lauge-Langevin (France) The Norwegian Research Council for Science and Humanities NORDITA (Denmark) The Norwegian Foreign Office The U. S. Army Research, Development and Standardization Group (Europe) The U. S. National Science Foundation - The Norwegian Council for Science and Letters The organizing committee would like to take this opportunity to thank these contributors for their help in promoting a most exciting rewarding meeting. This Study Institute was the eighth of a series of meetings held in Geilo on subjects related to phase transitions. In contrast to previous meetings which were principally concerned with transitions in ordered systems, this school addressed the problems which arise when structural order is absent. The unifying feature among the subjects discussed at the school and the link to themes of earlier meetings was the concept of scaling. |
Contents
Characterization and Measurement | 1 |
Introduction to Scaling Concepts | 13 |
Growth by Particle Aggregation | 31 |
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aggregation Aharony antiferromagnet attractor automata average behavior binary bonds calculated cellular automaton chain circle map coil colloid concentration configurations constant correlation length critical exponents crossover curve density dependence Dept described diffusion dilute dimensionality discussed distribution domain wall dynamics effects elastic energy equation Euclidean experimental experiments Figure finite fluid fractal dimension fracton function Gennes geometry growth hydrodynamic hydrodynamic radius infinite cluster interaction interface Ising model kinetics lattice length scale Lett limit linear magnetic Meakin measurements molecular monomers neutron scattering obtained parameter particles percolation clusters percolation threshold permeability phase phonon Phys Physics plot polymer power law probability problem properties radius random field random walk regime relation relaxation renormalization rule sample self-similar shown simulations Smoluchowski solution space spin Stanley structure surface theory transition University viscosity zero Zimm