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Moscow Mathematical Journal, 2020, Volume 20, Number 4, Pages 741–747
DOI: https://doi.org/10.17323/1609-4514-2020-20-4-741-747
(Mi mmj782)
 

This article is cited in 1 scientific paper (total in 1 paper)

Nonequilibrium relaxation and pattern formation

Christian Maesa, Karel Netočnýb

a Instituut voor Theoretische Fysica, KU Leuven, Celestijnenlaan 200D, B-3001 Leuven, Belgium
b Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, CZ-18221 Prague 8, Czech Republic
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Abstract: We consider a model of nonequilibrium pattern formation. Probes on a ring are in contact with a driven diffusive dynamics and, close to the equidistant probe configuration, the induced forces generate a linear dynamics with nonsymmetric coupling constants. A compound Poisson process describes the nonvariational relaxation to that crystal pattern.
Key words and phrases: driven diffusion, pattern formation, induced forces, compound Poisson process.
Document Type: Article
MSC: 82C31, 60J60, 92C15
Language: English
Citation: Christian Maes, Karel Netočný, “Nonequilibrium relaxation and pattern formation”, Mosc. Math. J., 20:4 (2020), 741–747
Citation in format AMSBIB
\Bibitem{MaeNet20}
\by Christian~Maes, Karel~Neto{\v c}n\'y
\paper Nonequilibrium relaxation and pattern formation
\jour Mosc. Math.~J.
\yr 2020
\vol 20
\issue 4
\pages 741--747
\mathnet{http://mi.mathnet.ru/mmj782}
\crossref{https://doi.org/10.17323/1609-4514-2020-20-4-741-747}
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