References
E. Andjel, M. Bramson, and T. Liggett, Shocks in the asymmetric exclusion, Preprint (1986).
C. Boldrighini, Local equilibrium for hard rods, Preprint (1988).
C. Boldrighini, R. L. Dobrushin, and Yu. M. Sukhov, Time asymptotics for some degenerate models of time evolution of infinite particle systems, Preprint, University of Camerino (1980).
C. Boldrighini, R. L. Dobrushin, and Yu. M. Sukhov, One-dimensional hard rod caricature of hydrodynamics,J. Stat. Phys. 31:577–616 (1983).
R. L. Dobrushin and Yu. M. Sukhov, On the problem of the mathematical foundations of the Gibbs postulate in classical statistical mechanics, inMathematical Problems in Theoretical Physics, G. dell' Antonio, S. Doplicher, and G. Jona-Lasinio, eds. (Springer-Verlag, 1978).
C. Boldrighini and W. D. Wick, Fluctuations in a one-dimensional system. I Fluctuations on the Euler scale, Preprint (1988).
C. Boldrighini and W. D. Wick, Fluctuations in a one-dimensional system. II The Navier-Stokes correction, Preprint (1988).
A. DeMasi, C. Kipnis, E. Presutti, and E. Saada, Microscopic structure at the shock in the asymmetric simple exclusion, Preprint (May 1987).
A. DeMasi, E. Presutti, and E. Scacciatelli, The weakly asymmetric simple exclusion, Preprint, NSF-ITP-87-147.
R. L. Dobrushin and R. Siegmund-Schultze, The hydrodynamic limit for systems of particles with independent evolution,Math. Nachr. 105:225–245 (1982).
J. L. Lebowitz, E. Orlandi, and E. Presutti, Convergence of stochastic cellular automaton to Burgers' equation: Fluctuations and stability, Preprint, Rutgers (1988).
J. L. Lebowitz, E. Presutti, and H. Spohn, Microscopic models of hydrodynamical behavior, Preprint, Rutgers (1988).
E. Presutti, Ya. G. Sinai, and M. R. Soloviecic, Hyperbolicity and Möller morphism for a model of classical statistical mechanics, inProgress in Physics, Vol. 10,Statistical Physics and Dynamical Systems (Birkhauser, 1985), pp. 253–284.
M. Reed and B. Simon,Methods of Modern Mathematical Physics. Scattering Theory, Vol. III (Academic Press, 1979).
H. Spohn, Hydrodynamic theory for equilibrium time correlation functions of hard rods,Ann. Phys. 141:353–364 (1982).
W. D. Wick, A dynamical phase transition in an infinite particle system,J. Stat. Phys. 38:1005–1025 (1985).
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Presutti, E., Wick, W.D. Macroscopic stochastic fluctuations in a one-dimensional mechanical system. J Stat Phys 51, 871–876 (1988). https://doi.org/10.1007/BF01014889
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DOI: https://doi.org/10.1007/BF01014889