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Cellular automata model for the diffusion equation

https://doi.org/10.1007/bf01048321
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Cellular Automata Approach to Diffusion Problems
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inferredcites →https://doi.org/10.1103/physrevb.40.4838openalex-snapshot
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inferredcites →https://doi.org/10.7551/mitpress/1763.001.0001openalex-snapshot
Cellular Automata Machines

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inferred← citeshttps://doi.org/10.1002/9780470141748.ch4openalex-snapshot
Chemical Reactions and Reaction Efficiency in Compartmentalized Systems
inferred← citeshttps://doi.org/10.1002/asl.1163openalex-snapshot
Column crossing and lateral transport in numerical weather models
inferred← citeshttps://doi.org/10.1002/jcc.21779openalex-snapshot
Design and parameterization of a stochastic cellular automaton describing a chemical reaction
inferred← citeshttps://doi.org/10.1006/jmaa.2001.7796openalex-snapshot
On Persistence and Stability of Some Spatially Inhomogeneous Systems
inferred← citeshttps://doi.org/10.1007/978-1-4614-8483-7_3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-1-4899-1421-7_6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-030-25636-4_27openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-031-04379-6_13openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-031-14926-9_1openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-031-14926-9_13openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-031-52186-7_9openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-319-13506-9_6openalex-snapshot
Grainsize Evolution in Open Systems
inferred← citeshttps://doi.org/10.1007/978-3-319-21909-7_13openalex-snapshot
A Behavioral Analysis of Cellular Automata
inferred← citeshttps://doi.org/10.1007/978-3-540-25944-2_70openalex-snapshot
Coupling a Lattice Boltzmann and a Finite Difference Scheme
inferred← citeshttps://doi.org/10.1007/978-3-540-85984-0_112openalex-snapshot
A Cellular Automatic Method for the Edge Detection of Images
inferred← citeshttps://doi.org/10.1007/978-3-7091-7533-0_56openalex-snapshot
The Parallel Genetic Cellular Automata: Application to Global Function Optimization
inferred← citeshttps://doi.org/10.1007/b72010openalex-snapshot
Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction
inferred← citeshttps://doi.org/10.1007/bf00672817openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02188680openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02188689openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02228966openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bfb0031122openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bfb0031626openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bfb0114398openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10035-017-0741-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10035-024-01450-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s40314-020-01378-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s42243-022-00807-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0098-1354(94)00072-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0301-0104(92)80043-uopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0378-4371(95)00146-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/b978-0-443-13786-0.00002-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.addr.2012.01.001openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.biosystems.2017.04.003openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.biosystems.2021.104447openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cej.2012.02.006openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.chaos.2004.02.018openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.chemgeo.2017.03.023openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cnsns.2024.108362openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.commatsci.2012.09.016openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.corsci.2019.06.013openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.ecolmodel.2006.02.042openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.ecolmodel.2006.04.031openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.physa.2016.11.086openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.physa.2020.124285openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.physd.2005.02.011openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.tcs.2015.07.002openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.vlsi.2003.11.001openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0009-2614(97)00749-5openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0167-739x(97)00031-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0378-4371(96)00494-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0378-4371(97)00147-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0928-4869(99)00029-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1014587326991openalex-snapshot
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inferred← citeshttps://doi.org/10.1038/s41377-023-01180-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1061/(asce)0733-9372(2001)127:9(782)openalex-snapshot
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inferred← citeshttps://doi.org/10.1061/(asce)0887-3801(2005)19:3(258)openalex-snapshot
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inferred← citeshttps://doi.org/10.1061/(asce)gm.1943-5622.0000527openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/1.3527160openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/1.462025openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/1.464236openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/1.469875openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/0305215x.2025.2608738openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/17445760.2015.1077523openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0268-1242/11/2/012openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0305-4470/25/5/016openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0305-4470/31/46/009openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0305-4470/32/44/303openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0965-0393/3/5/004openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0965-0393/6/3/001openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0965-0393/7/4/311openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/1748-3182/7/3/036013openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/1757-899x/115/1/012001openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreva.44.4826openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physrevb.52.16916openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreve.47.r40openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreve.51.4055openalex-snapshot
Refined simulations of the reaction front for diffusion-limited two-species annihilation in one dimension
inferred← citeshttps://doi.org/10.1103/physreve.55.3111openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physreve.57.237openalex-snapshot
Spatiotemporal properties of diffusive systems with a mobile imperfect trap
inferred← citeshttps://doi.org/10.1103/physreve.60.264openalex-snapshot
Thermodynamically reversible generalization of diffusion limited aggregation
inferred← citeshttps://doi.org/10.1103/physreve.65.037101openalex-snapshot
Computer simulation study of irreversible adsorption: Coverage fluctuations
inferred← citeshttps://doi.org/10.1103/physrevlett.72.1384openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/ccdc49329.2020.9164171openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/cnna49188.2021.9610785openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/sccc.2018.8705159openalex-snapshot
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inferred← citeshttps://doi.org/10.1128/9781555817718.ch13openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/s0036139997323942openalex-snapshot
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inferred← citeshttps://doi.org/10.1140/epjst/e2008-00755-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0129183101002863openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0218127417500894openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0219525902000614openalex-snapshot
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inferred← citeshttps://doi.org/10.1155/2014/518053openalex-snapshot
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inferred← citeshttps://doi.org/10.1155/2014/769064openalex-snapshot
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inferred← citeshttps://doi.org/10.1162/isal_a_00162openalex-snapshot
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inferred← citeshttps://doi.org/10.1533/9781855737143.4.475openalex-snapshot
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inferred← citeshttps://doi.org/10.21205/deufmd.2025278112openalex-snapshot
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inferred← citeshttps://doi.org/10.2166/wst.2004.0833openalex-snapshot
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inferred← citeshttps://doi.org/10.2172/6480937openalex-snapshot
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inferred← citeshttps://doi.org/10.24425/bpasts.2021.138813openalex-snapshot
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inferred← citeshttps://doi.org/10.3389/fphy.2016.00038openalex-snapshot
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inferred← citeshttps://doi.org/10.3390/ma14174985openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/krm.2011.4.1025openalex-snapshot
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inferred← citeshttps://doi.org/10.4028/www.scientific.net/msf.706-709.1568openalex-snapshot
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