Quasistationary distributions for the Domany-Kinzel stochastic cellular automaton [PDF]
We construct the {\it quasi-stationary} (QS) probability distribution for the Domany-Kinzel stochastic cellular automaton (DKCA), a discrete-time Markov process with an absorbing state. QS distributions are derived at both the one- and two-site levels. We characterize the distribuitions by their mean, and various moment ratios, and analyze the lifetime
Atman, A. P. F., Dickman, Ronald
core +6 more sources
Stochastic cellular automaton for the coagulation–fission process [PDF]
We introduce an efficient cellular automaton for the coagulation-fission process with diffusion 2A->3A, 2A->A in arbitrary dimensions. As the well-known Domany-Kinzel model, it is defined on a tilted hypercubic lattice and evolves by parallel updates. The model exhibits a non-equilibrium phase transition from an active into an absorbing phase and
Haye Hinrichsen
core +6 more sources
Non-concave fundamental diagrams and phase transitions in a stochastic traffic cellular automaton [PDF]
Within the class of stochastic cellular automata models of traffic flows, we look at the velocity dependent randomization variant (VDR-TCA) whose parameters take on a specific set of extreme values. These initial conditions lead us to the discovery of the emergence of four distinct phases.
Maerivoet, Sven, De Moor, Bart
core +7 more sources
Phase diagrams of bone remodeling using a 3D stochastic cellular automaton [PDF]
AbstractWe propose a 3D stochastic cellular automaton model, governed by evolutionary game theory, to simulate bone remodeling dynamics. The model includes four voxel states:Formation, Quiescence, Resorption, andEnvironment. We simulate theResorptionandFormationprocesses on separate time scales to explore the parameter space and derive a phase diagram ...
Anna-Dorothea Heller +2 more
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Intrinsic Simulations between Stochastic Cellular Automata [PDF]
The paper proposes a simple formalism for dealing with deterministic, non-deterministic and stochastic cellular automata in a unifying and composable manner.
Pablo Arrighi +2 more
doaj +6 more sources
Integrability of a deterministic cellular automaton driven by stochastic boundaries [PDF]
We propose an interacting many-body space-time-discrete Markov chain model, which is composed of an integrable deterministic and reversible cellular automaton (the rule 54 of [Bobenko et al, CMP 158, 127 (1993)]) on a finite one-dimensional lattice Z_2^n, and local stochastic Markov chains at the two lattice boundaries which provide chemical baths for ...
Prosen, Tomaz, Mejia-Monasterio, Carlos
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A stochastic cellular automaton model for traffic flow with multiple metastable states [PDF]
11 pages, 20 figures, submitted for ...
Nishinari, Katsuhiro +2 more
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A Stochastic D/A Converter Based on a Cellular Automaton Architecture [PDF]
The design and VLSI implementation of a new stochastic D/A converter using the properties of Cellular Automata (CA) is presented in this paper. The converter is implemented using a Double Layer Metal (DLM), 0.7 μm, N‐well, CMOS technology process provided by the European Silicon Structures (ES2).
I. Andreadis +3 more
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MATHEMATICAL AND SOFTWARE SOLUTIONS OF STOCHASTIC CELLULAR AUTOMATONS WITH MEMORY
В представленной статье обсуждается модель стохастических клеточных автоматов с памятью. Анализ модели показывает, что динамика изменения состояний в таких системах имеет очень сложный и неочевидный характер, требующий дальнейшего изучения, а сами подобные объекты можно отнести к новому классу клеточных автоматов.
Obukhova, A.G. +2 more
openaire +3 more sources
Bit-vectorized GPU implementation of a stochastic cellular automaton model for surface growth [PDF]
Stochastic surface growth models aid in studying properties of universality classes like the Kardar--Paris--Zhang class. High precision results obtained from large scale computational studies can be transferred to many physical systems. Many properties, such as roughening and some two-time functions can be studied using stochastic cellular automaton ...
Kelling, Jeffrey +2 more
openaire +6 more sources

