Turing Instability in a Model with Two Interacting Ising Lines: Non-equilibrium Fluctuations View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-01

AUTHORS

Monia Capanna, Nahuel Soprano-Loto

ABSTRACT

This is the second of two articles on the study of a particle system model that exhibits a Turing instability type effect. About the hydrodynamic equations obtained in Capanna and Soprano (Markov Proc Relat Fields 23(3):401–420, 2017), we find conditions under which Turing instability occurs around the zero equilibrium solution. In this instability regime: for long times at which the process is of infinitesimal order, we prove that the non-equilibrium fluctuations around the hydrodynamic limit are Gaussian; for times converging to the critical time defined as the one at which the process starts to be of finite order, we prove that the ±1-Fourier modes are uniformly away from zero. More... »

PAGES

1-39

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10955-018-2206-7

DOI

http://dx.doi.org/10.1007/s10955-018-2206-7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1110638787


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