The Annals of Applied Probability
- Ann. Appl. Probab.
- Volume 22, Number 6 (2012), 2282-2319.
Large deviations of the empirical currents for a boundary-driven reaction diffusion model
We derive a large deviation principle for the empirical currents of lattice gas dynamics which combine a fast stirring mechanism (Symmetric Simple Exclusion Process) and creation/annihilation mechanisms (Glauber dynamics). Previous results on the density large deviations can be recovered from this general large deviation principle. The contribution of external driving forces due to reservoirs at the boundary of the system is also taken into account.
Ann. Appl. Probab., Volume 22, Number 6 (2012), 2282-2319.
First available in Project Euclid: 23 November 2012
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 60F10: Large deviations 82C22: Interacting particle systems [See also 60K35]
Bodineau, Thierry; Lagouge, Maxime. Large deviations of the empirical currents for a boundary-driven reaction diffusion model. Ann. Appl. Probab. 22 (2012), no. 6, 2282--2319. doi:10.1214/11-AAP826. https://projecteuclid.org/euclid.aoap/1353695954