TY - JOUR
T1 - A Perturbative Approach to the Macroscopic Fluctuation Theory
AU - Bodineau, Thierry
AU - Derrida, Bernard
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.
PY - 2025/4/1
Y1 - 2025/4/1
N2 - In this paper, we study the stationary states of diffusive dynamics driven out of equilibrium by reservoirs. For a small forcing, the system remains close to equilibrium and the large deviation functional of the density can be computed perturbatively by using the macroscopic fluctuation theory. This applies to general domains in Rd and diffusive dynamics with arbitrary transport coefficients. As a consequence, one can analyse the correlations at the first non trivial order in the forcing and show that, in general, all the long range correlation functions are not equal to 0, in contrast to the exactly solvable models previously known.
AB - In this paper, we study the stationary states of diffusive dynamics driven out of equilibrium by reservoirs. For a small forcing, the system remains close to equilibrium and the large deviation functional of the density can be computed perturbatively by using the macroscopic fluctuation theory. This applies to general domains in Rd and diffusive dynamics with arbitrary transport coefficients. As a consequence, one can analyse the correlations at the first non trivial order in the forcing and show that, in general, all the long range correlation functions are not equal to 0, in contrast to the exactly solvable models previously known.
KW - Large deviations
KW - Lattice gas dynamics
KW - Long range correlations
KW - Macroscopic fluctuation theory
KW - Non-equilibrium statistical mechanics
UR - https://www.scopus.com/pages/publications/105002888235
U2 - 10.1007/s10955-025-03439-4
DO - 10.1007/s10955-025-03439-4
M3 - Article
AN - SCOPUS:105002888235
SN - 0022-4715
VL - 192
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 4
M1 - 51
ER -