TY - JOUR
T1 - Static large deviations for a reaction–diffusion model
AU - Farfán, J.
AU - Landim, C.
AU - Tsunoda, K.
N1 - Funding Information:
C. Landim has been partially supported by FAPERJ CNE E-26/201.207/2014, by CNPq Bolsa de Produtividade em Pesquisa PQ 303538/2014-7, and by ANR-15-CE40-0020-01 LSD of the French National Research Agency. K. Tsunoda has been partially supported by Grant-in-Aid for Research Activity Start-up JP16H07041..
Publisher Copyright:
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature.
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.
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U2 - 10.1007/s00440-018-0858-5
DO - 10.1007/s00440-018-0858-5
M3 - Article
AN - SCOPUS:85049596817
SN - 0178-8051
VL - 174
SP - 49
EP - 101
JO - Probability Theory and Related Fields
JF - Probability Theory and Related Fields
IS - 1-2
ER -