Entropy and global Markov properties

Springer Science and Business Media LLC - Tập 126 - Trang 469-482 - 1990
S. Goldstein1, R. Kuik1, A. G. Schlijper2
1Department of Mathematics, Rutgers University, New Brunswick, USA
2Koninklijke Shell Exploratie en Produktie Laboratorium, Rijswijk The Netherlands

Tóm tắt

We extend, refine and give simple proofs of some recent results on the validity of global Markov properties for classical spin systems. One of the new results is that there is a global Markov property that is satisfied by equilibrium states in general. The proof of this establishes formulas for the entropy and free energy that show that these quantities are, ford-dimensional systems, given in terms of (d−1)-dimensional systems. Furthermore, we show that global Markov properties imply the absence of some types of symmetry breaking.

Tài liệu tham khảo

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Springer Science and Business Media LLC

Tập 126

469-482

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