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

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...

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Detalles Bibliográficos
Publicado: 2019
Materias:
Ising
Kac potential
Non-equilibrium fluctuations
Turing instability
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v174_n2_p365_Capanna
http://hdl.handle.net/20.500.12110/paper_00224715_v174_n2_p365_Capanna
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00224715_v174_n2_p365_Capanna
record_format dspace
spelling paper:paper_00224715_v174_n2_p365_Capanna2023-06-08T14:50:56Z Turing Instability in a Model with Two Interacting Ising Lines: Non-equilibrium Fluctuations Ising Kac potential Non-equilibrium fluctuations Turing instability 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. © 2018, Springer Science+Business Media, LLC, part of Springer Nature. 2019 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v174_n2_p365_Capanna http://hdl.handle.net/20.500.12110/paper_00224715_v174_n2_p365_Capanna
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Ising
Kac potential
Non-equilibrium fluctuations
Turing instability
spellingShingle Ising
Kac potential
Non-equilibrium fluctuations
Turing instability
Turing Instability in a Model with Two Interacting Ising Lines: Non-equilibrium Fluctuations
topic_facet Ising
Kac potential
Non-equilibrium fluctuations
Turing instability
description 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. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.
title Turing Instability in a Model with Two Interacting Ising Lines: Non-equilibrium Fluctuations
title_short Turing Instability in a Model with Two Interacting Ising Lines: Non-equilibrium Fluctuations
title_full Turing Instability in a Model with Two Interacting Ising Lines: Non-equilibrium Fluctuations
title_fullStr Turing Instability in a Model with Two Interacting Ising Lines: Non-equilibrium Fluctuations
title_full_unstemmed Turing Instability in a Model with Two Interacting Ising Lines: Non-equilibrium Fluctuations
title_sort turing instability in a model with two interacting ising lines: non-equilibrium fluctuations
publishDate 2019
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v174_n2_p365_Capanna
http://hdl.handle.net/20.500.12110/paper_00224715_v174_n2_p365_Capanna
_version_ 1768544308098498560

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