This article is cited in 1 paper

Nonequilibrium relaxation and pattern formation

Christian Maes^a, Karel Netočný<sup>b

a</sup> 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

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.

MSC: 82C31, 60J60, 92C15

Language: English

DOI: 10.17323/1609-4514-2020-20-4-741-747