Correlation of clusters: partially truncated correlation functions and their decay. (English) Zbl 1434.82041
Summary: In this article, we investigate partially truncated correlation functions (PTCF) of infinite continuous systems of classical point particles with pair interaction. We derive Kirkwood-Salsburg-type equations for the PTCF and write the solutions of these equations as a sum of contributions labeled by certain forest graphs, the connected components of which are tree graphs. We generalize the method developed by R. A. Minlos and S. K. Poghosyan [Theor. Math. Phys. 31, No. 2, 199–213 (1977)] in the case of truncated correlations. These solutions make it possible to derive strong cluster properties for PTCF, which were obtained earlier for lattice spin systems.
©2020 American Institute of Physics
©2020 American Institute of Physics
MSC:
| 82C05 | Classical dynamic and nonequilibrium statistical mechanics (general) |
References:
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