Titlebook: Scaling Phenomena in Disordered Systems; Roger Pynn,Arne Skjeltorp Book 1991 Springer Science+Business Media New York 1991 development.dyn

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Growth of Domains and Scaling in the Late Stages of Phase Separation and Diffusion-Controlled Order second-order transition at a critical temperature T. (Fig. 1, left part). For T. > T. the system is disordered, while for T < T. there is an order parameter ± ψ (implying one-component orderings, e.g., an Ising model; later we discuss generalizations). We consider a “quenching experiment”: The syst

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First Order Phase Transformations: Scaling Relations for Grain Self-Correlation Functions,n polycrystalline RbI, which transforms at a critical pressure, P. = 3.5 kbar.. By observing the time development of the neutron diffraction pattern after sudden increase of hydrostatic pressure from PP. we directly deduced X(t), the fraction of the sample converted from metastable to stabl

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Random Fractals: characterization and measurement, presented with emphasis on variations of Mandelbrot’s fractional Brownian motion. The important concepts of fractal dimension and exact and statistical self-similarity and self-affinity will be reviewed. The various methods and difficulties of estimating the fractal dimension and lacunarity from experimental images or point sets are summarized.

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Light Scattering Experiments in a Gel Saturated with a Liquid Mixture,one, S. Satija describes neutron scattering experiments which probe phase separation in the gel at smaller length scales. Both sets of experiments suggest that the gel in effect imposes a static random field, or chemical potential, on the mixture.

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Metastability and Landau Theory for Random Fields and Demixing in Porous Media,dom structure, etc) that effectively creates a random field which is coupled to the order parameter. In this article we will concentrate on random field systems where the order parameter is a scalar and the random field is coupled linearly to it (i.e. the random field Ising model — RFIM).

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