Editing Cellular automaton (section)

===Chemistry===
The [[Belousov–Zhabotinsky reaction]] is a spatio-temporal [[chemical oscillator]] that can be simulated by means of a cellular automaton. In the 1950s [[Anatol Zhabotinsky|A. M. Zhabotinsky]] (extending the work of [[B. P. Belousov]]) discovered that when a thin, homogenous layer of a mixture of [[malonic acid]], acidified bromate, and a ceric salt were mixed together and left undisturbed, fascinating geometric patterns such as concentric circles and spirals propagate across the medium. In the "Computer Recreations" section of the August 1988 issue of ''[[Scientific American]]'',<ref>A. K. Dewdney, The hodgepodge machine makes waves, Scientific American, p. 104, August 1988.</ref> [[A. K. Dewdney]] discussed a cellular automaton<ref>{{cite journal | last1 = Gerhardt | first1 = M. | last2 = Schuster | first2 = H. | year = 1989 | title = A cellular automaton describing the formation of spatially ordered structures in chemical systems | journal = Physica D | volume = 36 | issue = 3| pages = 209–221 | doi=10.1016/0167-2789(89)90081-x| bibcode = 1989PhyD...36..209G }}</ref> developed by Martin Gerhardt and Heike Schuster of the University of Bielefeld (Germany). This automaton produces wave patterns that resemble those in the Belousov-Zhabotinsky reaction. Combining the attachment to one only particle from the growing aggregate, following the seminal model of Witten and Sander <ref>{{Cite journal |last1=Witten |first1=T. A. |last2=Sander |first2=L. M. |date=1981-11-09 |title=Diffusion-Limited Aggregation, a Kinetic Critical Phenomenon |url=https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.47.1400 |journal=Physical Review Letters |volume=47 |issue=19 |pages=1400–1403 |doi=10.1103/PhysRevLett.47.1400|bibcode=1981PhRvL..47.1400W }}</ref> to simulate the diffusion-limited growth with the attachment to kink positions as proposed yet by Kossel and Stranski in 1920's, see <ref>{{Cite journal |last=Woodruff |first=D. P. |date=2015-04-13 |title=How does your crystal grow? A commentary on Burton, Cabrera and Frank (1951) 'The growth of crystals and the equilibrium structure of their surfaces' |journal=Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |volume=373 |issue=2039 |pages=20140230 |doi=10.1098/rsta.2014.0230 |pmc=4360084 |pmid=25750141|bibcode=2015RSPTA.37340230W }}</ref> for the kinetics-limited version of the attachment, Goranova et al <ref>{{Cite journal |last1=Goranova |first1=D. |last2=Rashkov |first2=R. |last3=Avdeev |first3=G. |last4=Tonchev |first4=V. |date=2016-09-01 |title=Electrodeposition of Ni–Cu alloys at high current densities: details of the elements distribution |url=https://link.springer.com/article/10.1007/s10853-016-0126-y |journal=Journal of Materials Science |language=en |volume=51 |issue=18 |pages=8663–8673 |doi=10.1007/s10853-016-0126-y |bibcode=2016JMatS..51.8663G |issn=1573-4803}}</ref>proposed a model for electrochemical co-deposition of two metal cations.