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Time dependent phenomena in statistical mechanics

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Book cover Mathematical Problems in Theoretical Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 116))

Preparation of this report was supported in part by the National Science Foundation under grant MCS78-06718. It is a pleasure for me to acknowledge also the hospitality of the Seminar für theoretische Physik of the ETH, Zürich, where the first draft was written under ideal conditions.

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References

  1. Alexander,R.K.: Time evolution for infinitely many hard spheres. Commun. math. Phys. 49,217–232 (1976)

    Google Scholar 

  2. van Beijeren,H.,Lanford,O.E.,Lebowitz,J.L.,and Spohn,H.:Equilibrium time correlation functions in the low density limit. Preprint(1979)

    Google Scholar 

  3. Braun,W. and Hepp,K.: The Vlasov dynamics in the 1/N limit of interacting classical particles. Commun. math. Phys. 56, 101–113 (1977)

    Google Scholar 

  4. Dobrushin,R.L. and Tirozzi,B.: The central limit theorem and the problem of equivalence of ensembles. Commun. math. Phys. 54, 173–192 (1977)

    Google Scholar 

  5. Fritz,J. and Dobrushin,R.L.: Non-equilibrium dynamics of two-dimensional infinite particle systems with a singular interaction. Commun. math. Phys. 57, 67–81 (1977)

    Google Scholar 

  6. Lanford,O.E.: Time evolution of large classical systems, in: Dynamical Systems: Theory and Applications, ed. J.Moser. Springer Lecture Notes in Physics 38, 1–111(1975)

    Google Scholar 

  7. Marchioro,C., Pellegrinotti,A. and Presutti,E.: Existence of time evolution for v-dimensional statistical mechanics. Commun. math. Phys. 40, 175–185 (1975)

    Google Scholar 

  8. Sinai,Ya.G.: Construction of the dynamics in one-dimensional systems of statistical mechanics. Teoret. Mat. Fiz. 11, 248–258 (1972) English translation: Theoret. and Math. Phys. 12, 487–494(1973)

    Google Scholar 

  9. Sinai,Ya.G.: Construction of cluster dynamics for dynamical systems of statistical mechanics. Vest. Moscow Univ.,no 1,152–158(1974)

    Google Scholar 

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Konrad Osterwalder

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© 1980 Springer-Verlag

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Lanford, O.E. (1980). Time dependent phenomena in statistical mechanics. In: Osterwalder, K. (eds) Mathematical Problems in Theoretical Physics. Lecture Notes in Physics, vol 116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09964-6_309

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  • DOI: https://doi.org/10.1007/3-540-09964-6_309

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09964-2

  • Online ISBN: 978-3-540-39174-6

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