Solution of Kirkwood–Salsburg equations for a one-dimensional lattice gas
Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 3, pp. 463-469
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
Expressions are obtained for the lowest correlation functions directly from the Kirkwood–Salsburg equations for an infinite system of particles on a one-dimensional lattice with two-body nearest-neighbor interaction in certain external fields. The problem of finding the external field that makes the density oscillation near the wall uniform is considered.
[1] Ryuel D., Statisticheskaya mekhanika. Strogie rezultaty, Mir, M., 1971
[2] Shulepov Yu. V., Aksenenko E. V., Reshetchatyi gaz, Naukova dumka, Kiev, 1981 | MR
[3] Bekster R., Tochno reshaemye modeli v statisticheskoi mekhanike, Mir, M., 1985 | MR
[4] Sinai Ya. G., Teoriya fazovykh perekhodov. Strogie rezultaty, Nauka, M., 1980 | MR
[5] Bogolyubov N. N., Izbrannye trudy, T. 2, Naukova dumka, Kiev, 1970 | MR
[6] Nazin G. I., “Metod proizvodyaschego funktsionala”, Itogi nauki i tekhniki. Teoriya veroyatnostei. Matematicheskaya statistika. Teoreticheskaya kibernetika, 22, VINITI AN SSSR, M., 1984, 159–201 | MR