Geodesic
Large-scale structure of fluctuating field near the lability boundary of a phase transition of the first kind
Teoretičeskaâ i matematičeskaâ fizika, Tome 113 (1997) no. 3, pp. 438-447 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The ordering process of a scalar fluctuating field near the lability boundary of a phase transition of the first kind is considered. It is found that under some conditions a long-term large-scale structure can be formed, which is analogous to the one arising in the critical domain of the first kind phase transition. It is noted that as instability develops, this structure of chains and dense local groups of germs should appear analogous to the ones in real systems. Results are compared with the possibility of fluctuating inductions of continuous phase transitions predicted by other authors in the framework of the thermodynamic renormgroup approach. 
@article{TMF_1997_113_3_a6,
     author = {A. E. Filippov},
     title = {Large-scale structure of fluctuating field near the lability boundary of a phase transition of the first kind},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {438--447},
     year = {1997},
     volume = {113},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_113_3_a6/}
}
TY  - JOUR
AU  - A. E. Filippov
TI  - Large-scale structure of fluctuating field near the lability boundary of a phase transition of the first kind
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1997
SP  - 438
EP  - 447
VL  - 113
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1997_113_3_a6/
LA  - ru
ID  - TMF_1997_113_3_a6
ER  - 
%0 Journal Article
%A A. E. Filippov
%T Large-scale structure of fluctuating field near the lability boundary of a phase transition of the first kind
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1997
%P 438-447
%V 113
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1997_113_3_a6/
%G ru
%F TMF_1997_113_3_a6
A. E. Filippov. Large-scale structure of fluctuating field near the lability boundary of a phase transition of the first kind. Teoretičeskaâ i matematičeskaâ fizika, Tome 113 (1997) no. 3, pp. 438-447. http://geodesic.mathdoc.fr/item/TMF_1997_113_3_a6/

[1] L. D. Landau, E. M. Lifshits, Statisticheskaya fizika, Nauka, M., 1988 | MR

[2] E. M. Lifshits, L. P. Pitaevskii, Fizicheskaya kinetika, Nauka, M., 1979 | Zbl

[3] A. Yu. Loskutov, A. S. Mikhailov, Vvedenie v sinergetiku, Nauka, M., 1990

[4] A. Aharony, Phase transitions and critical phenomena, Academic Press, New York, 1976

[5] Yu. A. Izyumov, Yu. N. Skryabin, Statisticheskaya mekhanika magnitouporyadochennykh sistem, Nauka, M., 1987 | MR

[6] A. Z. Patashinskii, V. L. Pokrovskii, Fluktuatsionnaya teoriya fazovykh perekhodov, Nauka, M., 1982 | MR

[7] Yu. M. Ivanchenko, A. A. Lisyanskii, A. E. Filippov, Fluktuatsionnye effekty v sistemakh s konkuriruyuschimi vzaimodeistviyami, Naukova dumka, Kiev, 1989

[8] A. G. Khachaturyan, Teoriya fazovykh prevraschenii i struktura tverdykh rastvorov, Nauka, M., 1974

[9] E. Velasco, S. Toxyaerd, Phys. Rev. Lett., 71 (1993), 388 | DOI

[10] F. J. Alexander, S. Chen, D. W. Grunau, Phys. Rev. B, 48 (1993), 634 | DOI

[11] G. Leptoukh, B. Strickland, C. Roland, Phys. Rev. Lett., 74 (1995), 3636 | DOI

[12] S. Bastea, J. L. Lebowitz, Phys. Rev. Lett., 75 (1995), 3776 | DOI

[13] D. Wei, G. N. Patey, Phys. Rev. Lett., 68 (1992), 2043 | DOI

[14] J. J. Weis, Levesque, Phys. Rev. Lett., 71 (1993), 2729 | DOI

[15] J. Ayton, M. I. P. Gingras, G. N. Patey, Phys. Rev. Lett., 75 (1995), 2360 | DOI

[16] I. M. Svishchev, P. G. Kusalik, Phys. Rev. Lett., 73 (1994), 975 | DOI

[17] I. M. Svishchev, P. G. Kusalik, Phys. Rev. Lett., 75 (1995), 3289 | DOI

[18] N. Kukharkin, S. A. Orszag, V. Yakhot, Phys. Rev. Lett., 75 (1995), 2486 | DOI

[19] L. M. Smith, V. Yakhot, Phys. Rev. Lett., 71 (1993), 352 | DOI

[20] K. S. Fine et al., Phys. Rev. Lett., 75 (1995), 3277 | DOI

[21] L. D. Landau, I. M. Khalatnikov, Sbornik trudov L. D. Landau, T. 2, Nauka, M., 1969, 218 | MR

[22] V. L. Ginzburg, FTT, 2 (1960), 2031 | MR

[23] J. W. Cahn, Acta Metal., 8 (1960), 554 | DOI

[24] Yu. E. Kuzovlev, T. K. Soboleva, A. E. Filippov, ZhETF, 103 (1993), 1742

[25] Yu. E. Kuzovlev, T. K. Soboleva, A. E. Filippov, Pisma v ZhETF, 58 (1993), 353

[26] R. N. Kuklin, V. N. Kuzmin, FTT, 33 (1991), 2401

[27] A. E. Filippov, Yu. E. Kuzovlev, T. K. Soboleva, Phys. Lett. A, 165 (1992), 159 | DOI

[28] A. S. Zeltser, A. E. Filippov, ZhETF, 106 (1994), 1117

[29] A. S. Zeltser, T. K. Soboleva, A. E. Filippov, ZhETF, 108 (1995), 356

[30] A. E. Filippov, ZhETF, 111 (1997), 1775

[31] A. Mazor, A. R. Bishop, Physica D, 39 (1989), 22 | DOI | MR | Zbl

[32] F. Falk, Z. Phys. B, 54 (1984), 159 | DOI

[33] F. Falk, J. Phys. C: Solid State Phys., 20 (1987), 2501 | DOI

[34] M. Rao, A. Chakrabarti, Phys. Rev. Lett., 71 (1993), 3501 | DOI

[35] C. Van den Broeck, J. M. R. Parrondo, Phys. Rev. B, 49 (1994), 2639 | DOI

[36] C. Van den Broeck, J. M. R. Parrondo, R. Toral, Phys. Rev. Lett., 73 (1994), 3395 | DOI

[37] S. Semenovskaya, A. G. Khachaturyan, Phys. Rev. Lett., 67 (1991), 2223 | DOI

[38] Long-Qing Chen, A. G. Khachaturyan, Phys. Rev. B, 46 (1992), 5899 | DOI

[39] Ch. Zhulicke, A. S. Mikhailov, L. Scimansky-Geller, Physica A, 163 (1990), 559 | DOI

[40] A. Gordon, Phys. Lett. A, 154 (1991), 79 | DOI

[41] T. M. Rogers, K. R. Elder, R. C. Desai, Phys. Rev. B, 37 (1988), 9638 | DOI

[42] K. R. Elder, R. C. Desai, Phys. Rev. B, 40 (1989), 243 | DOI

[43] A. E. Filippov, J. Stat. Phys., 75 (1994), 241 | DOI

[44] A. S. Zeltser, A. E. Filippov, Pisma v ZhETF, 62 (1995), 604

[45] K. Vilson, Dzh. Kogut, Renormalizatsionnaya gruppa i $\epsilon$-razlozhenie, Mir, M., 1975

[46] F. J. Wegner, Phase transitions and critical phenomena, Academic Press, New York, 1976

[47] S. A. Breus, A. E. Filippov, Physica A, 192 (1993), 486 | DOI

[48] V. I. Tokar, Phys. Lett. A, 104 (1984), 135 | DOI | MR

[49] A. Hasenfratz, P. Hasenfratz, Nucl. Phys. B, 270 (1986), 687 | DOI

[50] G. Felder, Commun. Math. Phys., 11 (1987), 101 | DOI | MR

[51] G. R. Golner, Phys. Rev. B, 33 (1986), 7863 | DOI

[52] G. Zumbach, Phys. Rev. Lett., 71 (1993), 2421 | DOI

[53] L. P. Kadanoff, Physica, 2 (1966), 263

[54] A. Aharony, Y. Imry, S.-K. Ma, Phys. Rev. B, 13 (1976), 466 | DOI

[55] D. Blankshtein, A. Aharony, Phys. Rev. B, 25 (1983), 6939 | DOI

[56] D. Blankshtein, A. Aharony, Multicritical phenomena, Plenum Press, New York–London, 1984

[57] A. E. Filippov, A. A. Lisyansky, Phys. Lett. A, 125 (1987), 335 | DOI

[58] A. A. Lisyanskii, A. E. Filippov, TMF, 68 (1986), 425

[59] Q. Zhang, J. P. Badiali, Phys. Rev. A, 45 (1992), 8666 | DOI

[60] Q. Zhang, J. P. Badiali, Phys. Rev. Lett., 67 (1991), 1598 | DOI