Geodesic
Statistics of an ensemble of nonlinear classical oscillators in the field of an external harmonic force when the oscillators have two stable states
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 1, pp. 143-151 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

An ensemble of nonlinear classical oscillators in a thermal bath and in the field of an harmonic external force is considered. Systematic application of the method of averaging with respect to the fast variables makes it possible to obtain approximate analytic solutions for the distribution function in a steady regime in different regions of the phase space separated by a separatrix. Matching of the solutions belonging to different regions of the phase space confirms the conjecture that there is an excess population in the region of oscillator energies in which the frequency of the eigenmodes of the oscillator is close to the frequency of the external force. 
@article{TMF_1983_55_1_a13,
     author = {S. V. Zatsepin},
     title = {Statistics of an ensemble of nonlinear classical oscillators in the field of an external harmonic force when the oscillators have two stable states},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {143--151},
     year = {1983},
     volume = {55},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a13/}
}
TY  - JOUR
AU  - S. V. Zatsepin
TI  - Statistics of an ensemble of nonlinear classical oscillators in the field of an external harmonic force when the oscillators have two stable states
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 143
EP  - 151
VL  - 55
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a13/
LA  - ru
ID  - TMF_1983_55_1_a13
ER  - 
%0 Journal Article
%A S. V. Zatsepin
%T Statistics of an ensemble of nonlinear classical oscillators in the field of an external harmonic force when the oscillators have two stable states
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 143-151
%V 55
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a13/
%G ru
%F TMF_1983_55_1_a13
S. V. Zatsepin. Statistics of an ensemble of nonlinear classical oscillators in the field of an external harmonic force when the oscillators have two stable states. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 1, pp. 143-151. http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a13/

[1] Bogolyubov N. N., Mitropolskii Yu. A., Asimptoticheskie metody v teorii nelineinykh kolebanii, Nauka, M., 1974 | MR | Zbl

[2] Sazonov V. N., Zatsepin S. V., Chem. Phys., 52 (1980), 305–311 | DOI | MR

[3] Lugovoi V. N., Kvantovaya elektronika, 6 (1979), 2053–2077

[4] Drummond P. D., Gardiner C. W., Walls D. F., Phys. Rev., A24:2 (1981), 914–925 | DOI | MR

[5] Averbukh I. Sh., Kovarskii V. A., Perelman N. F., ZhETF, 80:1 (1981), 80–95

[6] Zatsepin S. V., Sazonov V. N., TMF, 41:1 (1979), 111–123 | MR

[7] Karlov N. V., Petrov Yu. P., Prokhorov A. M., Stelmakh O. M., Pisma v ZhETF, 22 (1970), 220–222

[8] Basov N. G., Markin E. P., Oraevskii A. N., Pankratov A. V., DAN SSSR, 198 (1971), 1043–1045

[9] Petrov A. K., Mikheev A. P., Sidelnikov V. N., Molin Yu. Ya., DAN SSSR, 212 (1973), 915–917

[10] Bashman M. R., Rink R., Nöth N., Kompa K. L., Chem. Phys. Lett., 29 (1974), 627–629 ; 45 (1977), 169–171 | DOI | DOI | MR

[11] Zitter R. N., Koster D. F., J. Amer. Chem. Soc., 99 (1977), 5491–5499 | DOI

[12] Slesak V., Caballero J., Burgos A., Qell E., Chem. Phys. Lett., 54 (1978), 105–108 | DOI

[13] Quigley J. P., Optics Lett., 3 (1978), 106–108 | DOI

[14] Sazonov V. N., ZhETF, 77 (1979), 1751–1755

[15] Dykman M. I., Krivoglaz M. A., ZhETF, 77:1 (1979), 60–73 | MR

[16] Melik-Barkhudarov T. K., ZhETF, 75:1 (1978), 97–106

[17] Mukamel S., Oppenheim J., Ross J., Phys. Rev., 427 (1978), 1988–1998 | DOI | MR

[18] Mukamel S., Chem. Phys., 37 (1979), 33–48 | DOI

[19] Zeldovich B. Ya., Perelomov A. M., Popov V. S., ZhETF, 55 (1968), 589–605; 57 (1969), 196–211

[20] Khokhlov R. V., DAN SSSR, 97:3 (1954), 411–414

[21] Kuzmin M. V., Sazonov V. P., ZhETF, 73 (1977), 422–429