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Large scale behavior of equilibrium time correlation functions for some stochastic ising models

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Stochastic Processes in Quantum Theory and Statistical Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 173))

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References

  1. D. Forster, Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions. Benjamin, Reading, Mass., 1975.

    Google Scholar 

  2. P. Resibois, M. DeLeener, Classical Kinetic Theory of Fluids. John Wiley, New York, 1977.

    Google Scholar 

  3. R. Glauber, J. Math. Phys. 4, 294 (1963).

    Google Scholar 

  4. T.M. Liggett, The Stochastic Evolution of Infinite Systems of Interacting Particles. Lecture Notes in Mathematics 598, Springer, Berlin, 1977.

    Google Scholar 

  5. R. Zwanzig, Statistical Mechanics of Irreversibility. In: Lectures in Theoretical Physics, vol. 3 (Boulder Lectures), Interscience, New York, 1961.

    Google Scholar 

  6. H. Mori, Progr. Theor. Phys. 34, 423 (1965).

    Google Scholar 

  7. R.A. Holley, D.W. Stroock, Comm. Math. Phys. 48, 249 (1976).

    Google Scholar 

  8. R.A. Holley, D.W. Stroock, Z. fur Wahrscheinlichkeits theorie verw. Gebiete 35, 87 (1976).

    Google Scholar 

  9. P. Clifford, A. Sudbury, Biometrika 60, 581 (1973).

    Google Scholar 

  10. R.A. Holley, T.M. Liggett, Annals of-Prob. 3, 643 (1975).

    Google Scholar 

  11. M. Bramson, D. Griffeath, Annals of Prob. 7, 418 (1978).

    Google Scholar 

  12. R.A. Holley, D.W. Stroock, Annals of Math. 110, 333 (1979).

    Google Scholar 

  13. E. Presutti, H. Spohn, Hydrodynamics of the Voter Model, preprint.

    Google Scholar 

  14. K. Kawasaki, Phys. Rev. 142, 164 (1966).

    Google Scholar 

  15. K. Kawasaki, Kinetics of sing Models. In: Phase Transitions and Critical Phenomena. Eds. C. Domb, M. Green, vol. 2. Academic Press, New York, 1972.

    Google Scholar 

  16. K. Binder, M.H. Kalos, J.L. Lebowitz and J. Marro, Advances in Coloid and Interface Science 10, 173 (1979).

    Google Scholar 

  17. W. Dietrich, P. Fulde, I. Peschel, Adv. Phys. 29, 527 (1980).

    Google Scholar 

  18. H. Singer, I. Peschel, Z. Physik B39, 333 (1980).

    Google Scholar 

  19. . Galves, C. Kipnis, H. Spohn, Fluctuation theory for the symmetric simple exclusion process, preprint in preparation.

    Google Scholar 

  20. A.GaIves, C. Kipnis, C. Marchioro, E. Presutti, Comm. Math. Phys. 81, 127 (1981).

    Google Scholar 

  21. O.E. Lanford, Time Evolution of Large Classical Systems. In: Dynamical Systems, Theory and Applications, ed. J. Moser. Lecture Notes in Physics 38, Springer, Berlin, 1975.

    Google Scholar 

  22. C. Marchioro, A. Pelligrinotti, E. Presutti, Comm. Math. Phys. 40, 175 (1975). 23)E. Presutti, M. Pulvirenti, B. Tirozzi, Comm. Math. Phys. 47, 81 (1976).

    Google Scholar 

  23. H. Spohn, Annals of Physics, in press.

    Google Scholar 

  24. C. Boldrighini, R.L. Dobrushin, Yu.M. Sukhov, Hydrodynamics of one-dimensional hard rods, preprint.

    Google Scholar 

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S. Albeverio Ph. Combe M. Sirugue-Collin

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© 1982 Springer-Verlag

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Spohn, H. (1982). Large scale behavior of equilibrium time correlation functions for some stochastic ising models. In: Albeverio, S., Combe, P., Sirugue-Collin, M. (eds) Stochastic Processes in Quantum Theory and Statistical Physics. Lecture Notes in Physics, vol 173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11956-6_129

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  • DOI: https://doi.org/10.1007/3-540-11956-6_129

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