منابع مشابه
Critical exponents in stochastic sandpile models
We present large scale simulations of a stochastic sandpile model in two dimensions. We use moments analysis to evaluate critical exponents and finite size scaling method to consistently test the obtained results. The general picture resulting from our analysis allows us to characterize the large scale behavior of the present model with great accuracy. Sandpile automata [1] are prototypical mod...
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The rotor-router model is a deterministic analogue of random walk. It can be used to define a deterministic growth model analogous to internal DLA. We prove that the asymptotic shape of this model is a Euclidean ball, in a sense which is stronger than our earlier work [12]. For the shape consisting of n = ωdr sites, where ωd is the volume of the unit ball in R, we show that the inradius of the ...
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Sandpile models with randomized updating rules are studied. The randomness is not quenched, but set dynamically by the dissipation events (avalanches) in the system. Relaxation from fixed updating rules is here a consequence of medium anisotropy and motivated by the behavior of various driven physical systems. A one-dimensional sandpile model in which the critical slope at a site varies as the ...
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Shifted and modulated Gaussian functions play a vital role in the representation of signals. We extend the theory into a quaternionic setting, using two exponential kernels with two complex numbers. As a final result, we show that every continuous and quaternion-valued signal f in the Wiener space can be expanded into a unique `2 series on a lattice at critical density 1, provided one more poin...
متن کاملCritical Behavior of Sandpile Models with Sticky Grains
We revisit the question whether the critical behavior of sandpile models with sticky grains is in the directed percolation universality class. Our earlier theoretical arguments in favor, supported by evidence from numerical simulations [ Phys. Rev. Lett., 89 (2002) 104303], have been disputed by Bonachela et al. [Phys. Rev. E 74 (2004) 050102] for sandpiles with no preferred direction. We discu...
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2015
ISSN: 1424-0637,1424-0661
DOI: 10.1007/s00023-015-0433-x