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Moscow Mathematical Journal

Volume 20, Issue 4, October–December 2020  pp. 741–747.

Nonequilibrium Relaxation and Pattern Formation

Authors:  Christian Maes (1) and Karel Netočný (2)
Author institution:(1) Instituut voor Theoretische Fysica, KU Leuven, Celestijnenlaan 200D, B-3001 Leuven, Belgium
(2) Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, CZ-18221 Prague 8, Czech Republic


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.

2010 Math. Subj. Class. 82C31, 60J60, 92C15.

Keywords: Driven diffusion, pattern formation, induced forces, compound Poisson process.

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