Abstract
We borrow the norm dual to that given by the Kubo-Martin-Schwinger construction and apply it to classical statistical mechanics, where it provides a much stronger sense of convergence than the e 1-norm. We show that the “equivalence of ensembles” for the ideal gas holds in this sense, and obtain an estimate for the relative entropy in terms of this norm.
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References
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© 1994 Springer Science+Business Media Dordrecht
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Streater, R.F. (1994). Entropy and KMS norms. In: Cardoso, A.I., de Faria, M., Potthoff, J., Sénéor, R., Streit, L. (eds) Stochastic Analysis and Applications in Physics. NATO ASI Series, vol 449. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0219-3_16
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DOI: https://doi.org/10.1007/978-94-011-0219-3_16
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4098-3
Online ISBN: 978-94-011-0219-3
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