Bertini, L., De Sole, A.,
Gabrielli, D., Jona-Lasinio, G., and Landim, C.: Macroscopic
fluctuation theory for stationary non-equilibrium states,
J. Stat. Phys., 107, 635–675, 2002.
a,
b,
c,
d
Bertini, L., Gabrielli, D., and Lebowitz, J. L.: Large Deviations for a Stochastic Model of Heat Flow, J. Stat. Phys., 121, 843–885,
https://doi.org/10.1007/s10955-005-5527-2, 2005a.
a
Bertini, L., De Sole, A.,
Gabrielli, D., Jona-Lasinio, G., and Landim, C.: Current fluctuations
in stochastic lattice gases, Phys. Rev. Lett., 94, 030601,
https://doi.org/10.1103/physrevlett.94.030601, 2005b.
a,
b
Bertini, L., De Sole, A.,
Gabrielli, D., Jona-Lasinio, G., and Landim, C.: Non-equilibrium
current fluctuations in stochastic lattice gases, J. Stat. Phys.,
123, 237–276, 2006.
a,
b
Bertini, L., De Sole, A.,
Gabrielli, D., Jona-Lasinio, G., and Landim, C.: Stochastic interacting
particle systems out of equilibrium, J. Stat. Mech. Theory
Exp., 2007, P07014,
https://doi.org/10.1088/1742-5468/2007/07/p07014, 2007.
a
Bertini, L., De Sole, A.,
Gabrielli, D., Jona-Lasinio, G., and Landim, C.: Towards a
non-equilibrium thermodynamics: a selfcontained macroscopic
description of driven diffusive systems, J. Stat. Phys., 135,
857–872, 2009. a
Bertini, L., De Sole, A.,
Gabrielli, D., Jona-Lasinio, G., and Landim, C.: Lagrangian phase
transitions in non-equilibrium thermodynamic systems,
J. Stat. Mech. Theory Exp., 2010, L11001,
https://doi.org/10.1088/1742-5468/2010/11/l11001, 2010.
a
Bertini, L., De Sole, A.,
Gabrielli, D., Jona-Lasinio, G., and Landim, C.: Macroscopic
Fluctuation Theory, Rev. Mod. Phys., 87, 593–636, 2015.
a,
b,
c,
d,
e
Derrida, B. and Gerschenfeld,
A.: Current fluctuations in the one-dimensional symmetric simple
exclusion process with step initial condition, J. Stat. Phys., 136,
1,
https://doi.org/10.1007/s10955-009-9772-7, 2009a.
a,
b,
c
Derrida, B. and Gerschenfeld,
A.: Current fluctuations in the one-dimensional diffusive systems
with step initial density profile, J. Stat. Phys., 137, 978,
https://doi.org/10.1007/s10955-009-9830-1, 2009b.
a,
b,
c,
d
Derrida, B., Lebowitz, J. L., and Speer,
E. R.: Large deviation of the density profile in the steady state of
the open symmetric exclusion process, J. Stat. Phys., 107, 599–634,
2002.
a,
b
Einstein, A.: Theorie der Opaleszenz von
homogenen Flüssigkeiten und Flüssigkeitsgemischen in der
Nähe des kritischen Zustandes, Annalen der Physik, 33,
1275–1298, 1910 (English translation in The collected papers of
Albert Einstein, 3, 231–249, Princeton University Press, 1993).
a,
b,
c
Enaud, C. and Derrida, B.: Large
Deviation Functional of the Weakly Asymmetric Exclusion Process,
J. Stat. Phys., 114, 537–562, 2004. a
Gabrielli, D., Jona-Lasinio, G.,
and Landim, C.: Onsager Reciprocity Relations without Microscopic
Reversibility, Phys. Rev. Lett., 77, 1202,
https://doi.org/10.1103/physrevlett.77.1202, 1996.
a
Gabrielli, D., Jona-Lasinio, G.,
and Landim, C.: Onsager Symmetry from Microscopic TP Invariance,
J. Stat. Phys., 96, 639,
https://doi.org/10.1023/a:1004550307453, 1999.
a
Galfi, V. M., Lucarini, V., and Wouters,
J.: A Large Deviation Theory-based Analysis of Heat Waves and Cold
Spells in a Simplified Model of the General Circulation of the
Atmosphere, J. Stat. Mech., 2019, 033404,
https://doi.org/10.1088/1742-5468/ab02e8, arXiv:1807.08261, 2019.
a,
b,
c
Galfi, V. M., Lucarini, V., Ragone,
F., and Wouters, J.: Applications of large deviation theory in
geophysical fluid dynamics and climate science, Riv. Nuovo Cim., 44,
291363,
https://doi.org/10.1007/s40766-021-00020z, 2021.
a,
b
Ghil, M.: Climate stability for a Sellers
type model, J. Atmos. Sci., 33, 3–20, 1976. a
Hasselmann, K.: Stochastic climate
models Part I. Theory, Tellus, 28, 473–485, 1976. a
Imparato, A., Lecomte, V., van
and Wijland, F.: Equilibrium-like fluctuations in some boundary-driven open
diffusive systems, Phys. Rev. E, 80, 011131,
https://doi.org/10.1103/physreve.80.011131, 2009.
a
Jona-Lasinio, G., Landim, C.,
and Vares, M. E.: Large deviations for a reaction-diffusion model,
Probab. Theory Related Fields, 97, 339–361,
https://doi.org/10.1007/bf01195070, 1993.
a,
b
Kipnis, C., Marchioro, C., and Presutti,
E.: Heat flow in an axactly solvable model, J. Stat. Phys., 27, 65–74,
https://doi.org/10.1007/bf01011740, 1982.
a
Landau, L. D. and Lifshitz, E. M.:
Statistical Physics, 3rd edn., chap. XII, ISBN 9780750633727, 1980.
a,
b,
c
Lorenz, E. N.: The Nature and Theory of the
General Circulation of the Atmosphere, WMO Publication, 218, World
Meteorological Organization, Geneva, 218, 115, 1967. a
Lucarini, V. and Chekroun, M.:
Hasselmann's Program and Beyond: New Theoretical Tools for
Understanding the Climate Crisis, ArXiv, arXiv:2303.12009, 2023. a
Lucarini, V., Serdukova, L., and Margazoglou, G.: Lévy noise versus Gaussian-noise-induced transitions in the Ghil–Sellers energy balance model, Nonlin. Processes Geophys., 29, 183–205,
https://doi.org/10.5194/npg-29-183-2022, 2022.
a,
b
Mallick, K.: The Exclusion Process: A
paradigm for non-equilibrium behaviour, Physica A, 418, 17–48, 2015. a
Mallick, K., Moriya, H., and Sasamoto,
T.: Exact solution of the macroscopic fluctuation theory for the
symmetric exclusion process, ArXiv, arXiv:2202.05213, 2022.
a,
b,
c
Ornstein, L. S. and Zernike, F.:
Accidental deviations of density and opalescence at the critical
point of a single substance, Proc. Acad. Sci. (Amsterdam), 17,
793–806, 1914. a
Sellers, W. D.: A global climatic model
based on the energy balance of the earth atmosphere,
J. Appl. Meteorol., 8, 392–400, 1969. a
