Springer Verlag, Journal of Statistical Physics, 5(152), p. 824-845
DOI: 10.1007/s10955-013-0797-6
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The symmetric simple exclusion process is one of the simplest out-of-equilibrium systems for which the steady state is known. Its large deviation functional of the density has been computed in the past both by microscopic and macroscopic approaches. Here we obtain the leading finite size correction to this large deviation functional. The result is compared to the similar corrections for equilibrium systems.