TY - JOUR
AU - A. L. Rebenko
AU - M. V. Tertychnyi
PY - 2017/08/25
Y2 - 2024/02/27
TI - Property of mixing of continuous classical systems with strong
superstable interactions
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 69
IS - 8
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1760
AB - We consider an infinite system of point particles in $R^d$, interacting via a strong superstable two-body potential $\phi$ of finiterange with radius $R$. In the language of correlation functions, we obtain a simple proof of decrease in correlations betweentwo clusters (two groups of variables) the distance between which is larger than the radius of interaction. The establishedresult is true for sufficiently small values of activity of the particles.
ER -