Work partially supported by NSF grant DMS-9201222.
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DeMasi, A. and Presutti, E., Mathematical Methods for Hydrodynamical Limits, Lecture Notes in Mathematics, No. 1501, Springer-Verlag, Berlin-Heidelberg-New York, 1991.
Donsker, M. D. and Varadhan, S. R. S., Large deviations from a hydrodynamic scaling limit, Comm. Pure Appl. Math. 42 (1989) 243–270.
Fritz, J., On the hydrodynamic limit of a scalar Ginzburg-Landau lattice model, IMA Vol. 9, Berlin-Heidelberg-New York, Springer-Verlag, 1987.
Fritz, J., On the diffusive nature of entropy flow in infinite systems; remarks to a paper by Guo-Papanicolaou-Varadhan, Comm. Math. Phys. 133 (1990) 331–352.
Guo, M. Z., Papanicolaou, G. C. and Varadhan, S. R. S., Nonlinear diffusion limit for a system with nearest neighbor interaction, Comm. Math. Phys. 118 (1988) 31–59.
Kipnis, C., Olla, S. and Varadhan, S. R. S., Hydrodynamics and large deviation for simple exclusion process, Comm. Pure Appl. Math. 42 (1989) 115–137.
Olla, S., Varadhan, S. R. S. and Yau, H. T., Hydrodynamics for Hamiltonian systems with small noise, in preparation.
Quastel, J., Diffusion of color in the simple exclusion process, Comm. Pure Appl. Math. 45 (1992) 623–680.
Rezakhanlou, F., Hydrodynamic limit for a system with finite range interactions, Comm. Math. Phys. 129 (1990) 448–480.
Spohn, H., Equilibrium fluctuations for interacting Brownian particles, Comm. Math. Phys. 103 (1986) 1–33.
Spohn, H., Large Scale Dynamics of Interacting Particles, Texts and Monographs in Physics, Springer-Verlag, Berlin-Heidelberg-New York, 1991.
Varadhan, S. R. S., Scaling limits for interacting diffusions, Commun. Math. Phys. 135 (1991) 313–353.
Varadhan, S. R. S., Nonlinear diffusion limit for a system with nearest neighbor interactions II, Proc. Taniguchi Symp., 1990, Kyoto.
Yau, H. T., Relative entropy and the hydrodynamics of Ginzburg-Landau models, Lett. Math. Phys. 22 (1991) 63–80.
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Varadhan, S.R.S. (1993). Entropy methods in hydrodynamic scaling. In: Cercignani, C., Pulvirenti, M. (eds) Nonequilibrium Problems in Many-Particle Systems. Lecture Notes in Mathematics, vol 1551. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090931
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DOI: https://doi.org/10.1007/BFb0090931
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