Self-avoiding walks on a triangular lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 3, pp. 332-338 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

An analytic method is proposed for calculating the partition function for self-avoiding walks on a triangular lattice. It is shown that the specific heat of the system has a logarithmic singularity at the critical point. The critical temperature is calculated and found to agree with the results of high-temperature expansions (a difference of order $1\%$).
@article{TMF_1978_35_3_a4,
     author = {N. D. Gagunashvili and V. B. Priezzhev},
     title = {Self-avoiding walks on a~triangular lattice},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {332--338},
     year = {1978},
     volume = {35},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a4/}
}
TY  - JOUR
AU  - N. D. Gagunashvili
AU  - V. B. Priezzhev
TI  - Self-avoiding walks on a triangular lattice
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1978
SP  - 332
EP  - 338
VL  - 35
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a4/
LA  - ru
ID  - TMF_1978_35_3_a4
ER  - 
%0 Journal Article
%A N. D. Gagunashvili
%A V. B. Priezzhev
%T Self-avoiding walks on a triangular lattice
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1978
%P 332-338
%V 35
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a4/
%G ru
%F TMF_1978_35_3_a4
N. D. Gagunashvili; V. B. Priezzhev. Self-avoiding walks on a triangular lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 3, pp. 332-338. http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a4/

[1] H. N. Temperley, Phys. Rev., 103 (1956), 1 | DOI | MR | Zbl

[2] M. E. Fisher, M. F. Sykes, Phys. Rev., 114 (1959), 45 | DOI | MR

[3] F. T. Wall, J. J. Erpenbeck, J. Chem. Phys., 30 (1959), 634 | DOI

[4] M. F. Sykes, A. J. Guttman, M. G. Watts, P. D. Roberts, J. Phys., A5 (1972), 653

[5] B. J. Hilley, M. F. Sykes, J. Chem. Phys., 34 (1961), 1531 | DOI | MR

[6] V. B. Priezzhev, Preprint OIYaI R17-9633, Dubna, 1976

[7] E. V. Montroll, Prikladnaya kombinatornaya matematika, Sb., «Mir», 1968

[8] E. V. Montroll, Ustoichivost i fazovye perekhody, Sb., «Mir», 1973 | MR