Abstract
We give some sufficient conditions which guarantee that the entropy density in the thermodynamic limit is equal to the thermodynamic limit of the entropy densities of finite-volume (local) Gibbs states.
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References
Araki, H.: On KMS states of a C*-dynamical system, Lecture Notes in Math.650, Springer-Verlag, New York, 1978, pp. 66-84.
Araki, H.: Toukeibuturi no suuri, Iwanami in Japanese 1994.
Bratteli, O. and Robinson, D. W.: Operator Algebras and Quantum Statistical Mechanics II, 2nd edn, Springer-Verlag, New York, 1997.
Haag, R., Hugenholtz, N. M. and Winnink, M.: On the equilibrium states in quantum statistical mechanics, Comm. Math. Phys. 5(1967), 215-236.
Israel, R. B.: Convexity in the Theory of Lattice Gases, Princeton University Press, 1979.
Moriya, H.: Entropy density for one-dimensional quantum lattice systems, Rev. Math. Phys. 9(1997), 361-369.
Sakai, S.: On one-parameter subgroups of *-automorphisms on operator algebras and the corresponding unbounded derivations, Amer. J. Math. 98(1976), 427-440.
Simon, B.: The Statistical Mechanics of Lattice Gases, Princeton University Press, 1993.
Martin-Löf, A.: Statistical Mechanics and the Foundation of Thermodynamics, Lecture Notes in Phys. 101, Springer-Verlag, New York, 1979.
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Moriya, H., Van Enter, A. On Thermodynamic Limits of Entropy Densities. Letters in Mathematical Physics 45, 323–330 (1998). https://doi.org/10.1023/A:1007451122562
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DOI: https://doi.org/10.1023/A:1007451122562