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Dynamical systems in statistical mechanics

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1115)

Keywords

  • Gibbs Measure
  • Equilibrium Measure
  • Finite Modification
  • Finite Part
  • Coherence Relation

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7.5. References

  1. MOULIN OLLAGNIER, J. et PINCHON, D., Mesures de Gibbs invariantes et mesures d’équilibre. Z. Wahrscheinlichkeitstheorie verw. Geb. 55 (1981), 11–23.

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  2. RUELLE, D., Statistical Mechanics-Rigourous results. Benjamin (1969).

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  3. DYSON, F. J., Existence of a phase transition in a one-dimensional Ising ferromagnet. Comm. Math. Phys. 12 (1969), 91–107.

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  4. DYSON, F. J., Non existence of spontaneous magnetization in a one-dimensional Ising ferromagnet. Comm. Math. Phys. 12 (1969), 212–215.

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  5. FROHLICH, J. and SPENCER, T., The phase transition in the one-dimensional Ising model with 1/r2 interaction energy. Comm. math. Phys. 84 (1982), 87–101.

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© 1985 Springer-Verlag

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Ollagnier, J.M. (1985). Dynamical systems in statistical mechanics. In: Ergodic Theory and Statistical Mechanics. Lecture Notes in Mathematics, vol 1115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101582

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  • DOI: https://doi.org/10.1007/BFb0101582

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15192-0

  • Online ISBN: 978-3-540-39289-7

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