منابع مشابه
Persistence and Life Time Distribution in Coarsening Phenomena
We investigate the life time distribution P (τ, t) in one dimensional and two dimensional coarsening processes modelled by Ising-Glauber dynamics at zero temperature. The life time τ is defined as the time that elapses between two successive flips in the time interval (0, t) or between the last flip and the observation time t. We calculate P (τ, t) averaged over all the spins in the system and ...
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We characterize the spatial spreading of the coarsening process in the Allen-Cahn equation in terms of the propagation of a nonlinear modulated front. Unstable periodic patterns of the Allen-Cahn equation are invaded by a front, propagating in an oscillatory fashion, and leaving behind the homogeneous, stable equilibrium. During one cycle of the oscillatory propagation, two layers of the period...
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The phenomenon of coarsening has been the topic of intensive study, chiefly in material science, where droplets coalesce1,2 or successive layers of material deposited on a substrate form complex morpholgies3,4. These problems are of technological interest because properties of composite materials such as polymer blends and alloys depend on the size and structure of included droplets5,6; likewis...
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Analogies between evolutionary dynamics and statistical mechanics, such as Fisher’s second-law-like ”fundamental theorem of natural selection” and Wright’s “fitness landscapes”, have had a deep and fruitful influence on the development of evolutionary theory. Here I discuss a new conceptual link between evolution and statistical physics. I argue that natural selection can be viewed as a coarsen...
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A proper coarse variable set for Algebraic Multigrid (AMG) solvers can be constructed using Compatible Relaxation (CR). For a given coarse set, CR is a modified relaxation scheme that keeps the values of the coarse variables intact. Its convergence factor is a predictor of the potential AMG efficiency, similarly to the smoothing factor in geometric multigrid. A practical CR-based coarse set con...
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ژورنال
عنوان ژورنال: Comptes Rendus Physique
سال: 2015
ISSN: 1631-0705
DOI: 10.1016/j.crhy.2015.02.005