Geodesic
Phase transitions in gases with generalized charges interacting through a logarithmic law. II. $d=1$, isotropic case
Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 3, pp. 424-435 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The renormalization group method is used to investigate phase transitions in onedimensional $\ln$-gases with generalized charges. It is shown that, in contrast to twodimensional $\ln$-gases, the absence of a renormalization of the temperature has the consequence that the critical properties of such one-dimensional gases depend weakly on the internal symmetry. For renormalizable gases, the nature of the singularity and the exponents of the correlation length, and also the correlation functions in the low-temperature phase are found. 
@article{TMF_1982_51_3_a12,
     author = {S. A. Bulgadaev},
     title = {Phase transitions in gases with generalized charges interacting through a~logarithmic law. {II.~}$d=1$, isotropic case},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {424--435},
     year = {1982},
     volume = {51},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a12/}
}
TY  - JOUR
AU  - S. A. Bulgadaev
TI  - Phase transitions in gases with generalized charges interacting through a logarithmic law. II. $d=1$, isotropic case
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1982
SP  - 424
EP  - 435
VL  - 51
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a12/
LA  - ru
ID  - TMF_1982_51_3_a12
ER  - 
%0 Journal Article
%A S. A. Bulgadaev
%T Phase transitions in gases with generalized charges interacting through a logarithmic law. II. $d=1$, isotropic case
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1982
%P 424-435
%V 51
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a12/
%G ru
%F TMF_1982_51_3_a12
S. A. Bulgadaev. Phase transitions in gases with generalized charges interacting through a logarithmic law. II. $d=1$, isotropic case. Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 3, pp. 424-435. http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a12/

[1] Bulgadaev S. A., Phys. Lett., 87B:1, 2 (1979), 47–49 | DOI | MR

[2] Bulgadaev S. A., Pisma v ZhETF, 30:7 (1979), 456–459 | MR

[3] Kosterlitz J. M., J. Phys., C7:7 (1974), 1046–1060

[4] Nelson D. R., Phys. Rev., B18:5 (1978), 2318–2338 | DOI

[5] Bulgadaev S. A., TMF, 49:1 (1981), 77–91 | MR

[6] Berezinskii V. L., ZhETF, 59:3 (1970), 907–920 | MR

[7] Wilson K., Fisher M. E., Phys. Rev. Lett., 28:4 (1972), 240–243 | DOI

[8] Patashinskii A. Z., Pokrovskii V. L., UFN, 121:1 (1977), 55–96 | DOI | MR

[9] Zittartz J., Z. Phys., B31:1 (1978), 63–77 | MR

[10] Takahashi H., Proc. Phys. Math. Soc. Japan, 24 (1942), 60 | MR

[11] Kac M., Phys. Fluids, 2:1 (1959), 8 | DOI | Zbl

[12] Lenard A., Jour. Math. Phys., 2:5 (1961), 682 | DOI | MR | Zbl

[13] Dyson F. J., Commun. Math. Phys., 12:2 (1969), 91–107 | DOI | MR | Zbl

[14] Yuval G., Anderson P. W., Phys. Rev., B1 (1970), 1522–1528 | DOI

[15] Hamann D. R., Phys. Rev., B2:5 (1970), 1373–1391 | DOI | MR

[16] Anderson P. W., Yuval G., Hamann D. R., Phys. Rev., B1:11 (1970), 4464–4473 | DOI

[17] Kosterlitz J. M., Phys. Rev. Lett., 37:23 (1976), 1577–1580 | DOI

[18] Kac M., Uhlenbeck G. E., Hemmer P. C., J. Math. Phys., 4:2 (1963), 216–228 | DOI | MR | Zbl

[19] Gersch H. A., Phys. Fluids, 6:5 (1963), 599–608 | DOI

[20] Baker G. A., jun., Phys. Rev., 122:5 (1961), 1477–1484 | DOI | MR

[21] Baker G. A., jun., Phys. Rev., 126:6 (1962), 2071–2078 | DOI

[22] Van Hove L., Physica, 16 (1950), 137 | DOI | MR | Zbl

[23] Vigman P. B., Finkelshtein A. M., ZhETF, 75:1 (1978), 204–216

[24] Filyov V. M., Wiegmann P. B., Phys. Lett., 76A:3 (1980), 283–286 | DOI | MR

[25] Vigman P. B., Pisma v ZhETF, 31:7 (1980), 392–398

[26] Ma Sh., Sovremennaya teoriya kriticheskikh yavlenii, Mir, M., 1980