منابع مشابه
Quasicontinuum Models of Dynamic Phase Transitions
Abstract. We propose a series of quasicontinuum approximations for the simplest lattice model of dynamic phase transition in one dimension. The approximations are dispersive and include various non-classical corrections to both kinetic and potential energies. We show that the well-posed quasicontinuum theory can be chosen in such a way that the associated closed-form kinetic relation is in exce...
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We monitored isotropic spreading of mouse embryonic fibroblasts on fibronectin-coated substrates. Cell adhesion area versus time was measured via total internal reflection fluorescence microscopy. Spreading proceeds in well-defined phases. We found a power-law area growth with distinct exponents in three sequential phases, which we denote as basal, continuous, and contractile spreading. High re...
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This article presents a phenomenological dynamic phase transition theory for ferromagnetism, leading to a precise description of the dynamic transitions, and to a physical predication on the spontaneous magnetization. The analysis also suggests asymmetry of fluctuations in both the ferromagnetism and the PVT systems.
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Many non-equilibrium systems display dynamic phase transitions from active to absorbing states, where fluctuations cease entirely. Based on a field theory representation of the master equation, the critical behavior can be analyzed by means of the renormalization group. The resulting universality classes for single-species systems are reviewed here. Generically, the critical exponents are those...
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The problems to optimize properties of a frustrated system of many variables is a complex matter. Such problems arise in both combinatorial computational problems as well as in complex materials such as spin glasses. Since the theoretical treatment of such system is very hard and complicated one would like to find simpler methods to examine them. In this thesis random K-SAT problems are studied...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1989
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/987896