Geodesic
The role of thermal fluctuations in a Bose system in lowering the roton minimum
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 3, pp. 428-439 Cet article a éte moissonné depuis la source Math-Net.Ru

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A study is made of the influence of thermal fluctuations on the stability of the homogeneous state of a Bose system with condensate in lowering the roton minimum. In contrast to the case of quantum fluctuations, which at $T=0$ are responsible for a premature loss of stability with respect to arbitrarily small perturbations, this occurring moreover first for long-wavelength (phonon) and not roton perturbations [7, 8], thermal fluctuations delay the appearance of local instability. Another difference from the case $T=0$ with a real roton minimum is the fact that to describe the complete region of stability at $T>0$ the single-loop approximation is inadequate. An additional metastable homogeneous phase at $T=0$ with “complex roton minimum” is found. 
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Yu. A. Nepomnyashchii; V. A. Podolskii. The role of thermal fluctuations in a Bose system in lowering the roton minimum. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 3, pp. 428-439. http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a10/

[1] Bogolyubov N. N., Izv. AN SSSR, ser. fiz., 11 (1947), 77–90 | MR

[2] Belyaev S. T., ZhETF, 34 (1958), 417–432 ; 433–446 | Zbl | Zbl

[3] Kirzhnits D. A., Nepomnyaschii Yu. A., ZhETF, 59:12 (1970), 2203–2214; Непомнящий Ю. А., ТМФ, 8:3 (1971), 413–427 ; Непомнящий Ю. А., Непомнящий А. А., ТМФ, 9:1 (1971), 137–149 | MR

[4] Nepomnyaschii Yu. A., ZhETF, 85:10 (1983), 1244–1276

[5] Nepomnyaschii Yu. A., Pisma v ZhETF, 15:4 (1972), 211–215; Непомнящий А. А., ТМФ, 9:1 (1971), 137–149

[6] Iordanskii S. V., ZhETF, 47:7 (1964), 167–174; Черникова Д. М., ЖЭТФ, 57:12 (1969), 2125–2136

[7] Nepomnyaschii Yu. A., Podolskii V. A., ZhETF, 69:2 (1975), 555–564

[8] Podolskii V. A., ZhETF, 83:6 (1982), 2102–2109

[9] Pitaevskii L. P., Pisma v ZhETF, 39:9 (1984), 423–425

[10] Sunakawa S., Yamasaki S., Kebukawa A. T., Progr. Theor. Phys., 41:4 (1969), 919–940 | DOI

[11] Fradkin E. S., Kvantovaya teoriya polya i gidrodinamika, Nauka, M., 1965, 7–138.