Geodesic
Cluster property in a~classical canonical ensemble
Teoretičeskaâ i matematičeskaâ fizika, Tome 30 (1977) no. 3, pp. 353-360

Voir la notice de l'article provenant de la source Math-Net.Ru

Correlation functions of canonical ensemble of classical particles are investigated by the method of operator equations in the Banach space. The proof of the cluster property is given for sufficiently small values of the density of particles. Sufficient conditions on potential of the interaction are found. The estimation of the rate of vanishing of correlations is performed for some specific potentials. The results are compared with those for the grand canonical ensemble. 
@article{TMF_1977_30_3_a6,
     author = {Yu. G. Pogorelov},
     title = {Cluster property in a~classical canonical ensemble},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {353--360},
     publisher = {mathdoc},
     volume = {30},
     number = {3},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_30_3_a6/}
}
TY  - JOUR
AU  - Yu. G. Pogorelov
TI  - Cluster property in a~classical canonical ensemble
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1977
SP  - 353
EP  - 360
VL  - 30
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1977_30_3_a6/
LA  - ru
ID  - TMF_1977_30_3_a6
ER  - 
%0 Journal Article
%A Yu. G. Pogorelov
%T Cluster property in a~classical canonical ensemble
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1977
%P 353-360
%V 30
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1977_30_3_a6/
%G ru
%F TMF_1977_30_3_a6
Yu. G. Pogorelov. Cluster property in a~classical canonical ensemble. Teoretičeskaâ i matematičeskaâ fizika, Tome 30 (1977) no. 3, pp. 353-360. http://geodesic.mathdoc.fr/item/TMF_1977_30_3_a6/