Static large deviations for a reaction–diffusion model

J. Farfán; C. Landim; K. Tsunoda

Static large deviations for a reaction–diffusion model

J. Farfán
, C. Landim
, K. Tsunoda

Sección de Matemáticas

Instituto Nacional de Matematica Pura E Aplicada, Rio de Janeiro
Université de Rouen Normandie
Osaka University

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

12 Citas (Scopus)

Resumen

We consider the superposition of a symmetric simple exclusion dynamics, speeded-up in time, with a spin-flip dynamics in a one-dimensional interval with periodic boundary conditions. We prove the large deviations principle for the empirical measure under the stationary state. We deduce from this result that the stationary state is concentrated on the stationary solutions of the hydrodynamic equation which are stable.

Idioma original	Español
Páginas (desde-hasta)	49-101
Número de páginas	53
Publicación	Probability Theory and Related Fields
Volumen	174
Estado	Publicada - 1 jun. 2019

STATIC LARGE DEVIATIONS FOR A REACTION DIFFUSION MODEL
Farfan Vargas, J. S. (Investigador principal) & Beltran Ramirez, J. V. (Otro)
Proyecto: Investigación

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title = "Static large deviations for a reaction–diffusion model",

abstract = "We consider the superposition of a symmetric simple exclusion dynamics, speeded-up in time, with a spin-flip dynamics in a one-dimensional interval with periodic boundary conditions. We prove the large deviations principle for the empirical measure under the stationary state. We deduce from this result that the stationary state is concentrated on the stationary solutions of the hydrodynamic equation which are stable.",

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T1 - Static large deviations for a reaction–diffusion model

AU - Farfán, J.

AU - Landim, C.

AU - Tsunoda, K.

PY - 2019/6/1

Y1 - 2019/6/1

N2 - We consider the superposition of a symmetric simple exclusion dynamics, speeded-up in time, with a spin-flip dynamics in a one-dimensional interval with periodic boundary conditions. We prove the large deviations principle for the empirical measure under the stationary state. We deduce from this result that the stationary state is concentrated on the stationary solutions of the hydrodynamic equation which are stable.

AB - We consider the superposition of a symmetric simple exclusion dynamics, speeded-up in time, with a spin-flip dynamics in a one-dimensional interval with periodic boundary conditions. We prove the large deviations principle for the empirical measure under the stationary state. We deduce from this result that the stationary state is concentrated on the stationary solutions of the hydrodynamic equation which are stable.

M3 - Artículo

VL - 174

SP - 49

EP - 101

JO - Probability Theory and Related Fields

JF - Probability Theory and Related Fields

ER -

Static large deviations for a reaction–diffusion model

Resumen

Proyectos

STATIC LARGE DEVIATIONS FOR A REACTION DIFFUSION MODEL

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