Results 11 to 20 of about 30,075 (285)

Quasi-stationary distributions for the Domany-Kinzel stochastic cellular automaton [PDF]

Physical Review E, 2002
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.
A. Kemper, A. P. F. Atman, A.M. Yaglom, A.P.F. Atman, A.P.F. Atman, E. Domany, F. Bagnoli, F. Bagnoli, G.A. Kohring, H. Hinrichsen, H. Hinrichsen, H.A. Gutowitz, I. Nasell, M.L. Martins, P.A. Ferrari, P.A. Ferrari, R. Dickman, R. Dickman, R. Dickman, R. Dickman, Ronald Dickman, T. Tomé, T. Tomé, W. Kinzel   +23 more
core   +6 more sources

Transfer-matrix DMRG for stochastic models: The Domany-Kinzel cellular automaton [PDF]

Journal of Physics A: Mathematical and General, 2001
We apply the transfer-matrix DMRG (TMRG) to a stochastic model, the Domany-Kinzel cellular automaton, which exhibits a non-equilibrium phase transition in the directed percolation universality class.
A Kemper, A Schadschneider, Burlisch R, Bursill R J, Carlon E, Carlon E, Henkel M, Henkel M, Henkel M, Hieida Y, Hinrichsen H, Hinrichsen H, J Zittartz, Jensen I, Kinzel W, Kinzel W, Nishino T, Peschel I, Rieger H, Schütz G, Tretyakov A Y   +20 more
core   +5 more sources

Mechanisms of stochastic onset and termination of atrial fibrillation studied with a cellular automaton model [PDF]

Journal of The Royal Society Interface, 2017
Mathematical models of cardiac electrical excitation are increasingly complex, with multiscale models seeking to represent and bridge physiological behaviours across temporal and spatial scales.
Yen Ting Lin, Eugene T. Y. Chang, Julie Eatock, Tobias Galla, Richard H. Clayton   +4 more
semanticscholar   +6 more sources

Properties of a Finite Stochastic Cellular Automaton Toy Model of Earthquakes [PDF]

Acta Geophysica, 2015
Finite version of Random Domino Automaton — a recently proposed toy model of earthquakes — is investigated in detail. Respective set of equations describing stationary state of the FRDA is derived and compared with infinite case.
Mariusz Białecki
semanticscholar   +4 more sources

A stochastic cellular automaton model for traffic flow with multiple metastable states [PDF]

Journal of Physics A: Mathematical and General, 2004
A new stochastic cellular automaton (CA) model of traffic flow, which includes slow-to-start effects and a driver's perspective, is proposed by extending the Burgers CA and the Nagel–Schreckenberg CA model.
Katsuhiro Nishinari, Minoru Fukui, Andreas Schadschneider   +2 more
semanticscholar   +7 more sources

Effect of two vaccine doses in the SEIR epidemic model using a stochastic cellular automaton [PDF]

Physica A: Statistical Mechanics and its Applications, 2022
In this work, to support decision making of immunisation strategies, we propose the inclusion of two vaccination doses in the SEIR model considering a stochastic cellular automaton. We analyse three different scenarios of vaccination: $i) unlimited doses, (ii) limited doses into susceptible individuals, and (iii) limited doses randomly distributed ...
Enrique C. Gabrick, Paulo R. Protachevicz, Antônio M. Batista, Kelly C. Iarosz, Sílvio L.T. de Souza, Alexandre C. L. Almeida, José D. Szezech, Michele Mugnaine, Iberê L. Caldas   +8 more
semanticscholar   +7 more sources

Non-concave fundamental diagrams and phase transitions in a stochastic traffic cellular automaton [PDF]

The European Physical Journal B - Condensed Matter and Complex Systems, 2004
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.
Awazu, B. De Moor, Barlovi?, Chowdhury, Chowdhury, Gray, Helbing, Lárraga, Nagel, Nagel, Nishinari, S. Maerivoet, Schadschneider, Zhang   +13 more
core   +8 more sources

Integrability of a deterministic cellular automaton driven by stochastic boundaries [PDF]

Journal of Physics A: Mathematical and Theoretical, 2016
We propose an interacting many-body space–time-discrete Markov chain model, which is composed of an integrable deterministic and reversible cellular automaton (rule 54 of Bobenko et al 1993 Commun. Math. Phys. 158 127) on a finite one-dimensional lattice
Tomaž Prosen, Carlos Mejía-Monasterio
semanticscholar   +6 more sources

A new stochastic cellular automaton model on traffic flow and its jamming phase transition [PDF]

Journal of Physics A: Mathematical and General, 2006
A general stochastic traffic cellular automaton (CA) model, which includes the slow-to-start effect and driver's perspective, is proposed in this paper.
Satoshi Sakai, Katsuhiro Nishinari, Shinji Iida   +2 more
semanticscholar   +9 more sources

A simple stochastic cellular automaton for synchronized traffic flow [PDF]

Physica A: Statistical Mechanics and its Applications, 2014
We present a very simple stochastic traffic cellular automaton (CA) model to reproduce synchronized traffic. This model aims to be nearly as simple as the well-known Nagel–Schreckenberg model, but to overcome to shortcomings of the latter: The Nagel–Schreckenberg model (NaSch) and its variants achieve collision-free driving by explicitly allowing for ...
Thorsten Chmura, Benedikt Herz, Florian Knorr, Thomas Pitz, Michael Schreckenberg   +4 more
semanticscholar   +6 more sources