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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00224715_v174_n2_p365_Capanna |
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todo:paper_00224715_v174_n2_p365_Capanna2023-10-03T14:32:58Z Turing Instability in a Model with Two Interacting Ising Lines: Non-equilibrium Fluctuations Capanna, M. Soprano-Loto, N. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Capanna, M. Soprano-Loto, N. 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. |
| format |
JOUR |
| author |
Capanna, M. Soprano-Loto, N. |
| author_facet |
Capanna, M. Soprano-Loto, N. |
| author_sort |
Capanna, M. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_00224715_v174_n2_p365_Capanna |
| work_keys_str_mv |
AT capannam turinginstabilityinamodelwithtwointeractingisinglinesnonequilibriumfluctuations AT sopranoloton turinginstabilityinamodelwithtwointeractingisinglinesnonequilibriumfluctuations |
| _version_ |
1807317480705622016 |