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Summary: A new cellular automaton model for traffic flow, which is situated between Nagel-Schreckenberg (NS) type and Fukui-Ishibashi (FI) type, is defined and studied. This new model adopts the gradual acceleration scenario for all cars as NS model and the stochastic delay scenario for only the car with speed limit as FI model.
Wang, Bing-Hong +3 more
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The method of probability cellular automaton (PCA) has been used to simulate turbulent stirring, molecular diffusion, and the reactions of the stochastic Oregonator in each cell of the automaton an...
Vladimir K. Vanag
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Extended mean-field study of a stochastic cellular automaton
Physical Review E, 1994Extended mean-field theory is used for studying the one-dimensional stochastic cellular automaton with Rule 18 defined by Wolfram [Rev. Mod. Phys. 55, 601 (1983)]. The analysis is carried out at different levels taking n-point and n-pair correlations explicitly into consideration. The pair approximations reproduce the exact results in the deterministic
, Szabó, , Ódor
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Modeling anisotropic hardening with a stochastic cellular automaton
Probabilistic Engineering Mechanics, 2004The Bauschinger effect refers to an observed asymmetry in the forward and reverse loading curves of a metal or an alloy. It is characterized by the reduction of the absolute value of the yield stress in reverse loading, as compared to the maximum stress imposed on the initial, or forward, loading.
Baxter, S. C., Reynolds, Anthony P.
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Modeling dynamics of HIV infected cells using stochastic cellular automaton
Physica A: Statistical Mechanics and its Applications, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Precharattana, Monamorn +1 more
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Ghost Stochastic Resonance From an Asynchronous Cellular Automaton Neuron Model
IEEE Transactions on Circuits and Systems II: Express Briefs, 2013A novel electronic circuit neuron model whose nonlinear dynamics is described by an asynchronous cellular automaton is proposed. The model exhibits a so-called ghost stochastic resonance , which is suggested to be utilized in a nonlinear pitch extraction function in a biological auditory system.
Takuya Noguchi, Hiroyuki Torikai
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Car accident in synchronized traffic flow: A stochastic cellular automaton model
International Journal of Modern Physics C, 2020In this paper, we study the probability of car accidents in the modified Nagel–Schreckenberg (mNaSch) under the periodic boundary condition. In order to understand the quality of interaction between vehicles in each phase of the mNaSch, the velocity correlation coefficients were investigated.
A. Karakhi +4 more
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Design and parameterization of a stochastic cellular automaton describing a chemical reaction
Journal of Computational Chemistry, 2011AbstractAlthough most of the work concerned with reaction kinetics concentrates on empirical findings, stochastic models, and differential equations, a growing number of researchers is exploring other methods to elucidate reaction kinetics. In this work, the parameterization of an utter discrete spatio‐temporal model, more specifically, a cellular ...
Pieter, Van der Weeën +2 more
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Convergence of stochastic cellular automation to Burgers' equation: Fluctuations and stability
Physica D: Nonlinear Phenomena, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lebowitz J +2 more
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A Stochastic Cellular Automaton Modeling Gliding and Aggregation of Myxobacteria
SIAM Journal on Applied Mathematics, 2000Summary: The myxobacteria are ubiquitous soil bacteria which aggregate under starvation conditions and build fruiting bodies to survive. Until recently the mechanisms of their social gliding, aggregation, and fruiting body formation have not been well understood.
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