Geodesic
Microscopic justification of the~stochastic F-model of critical dynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 3, pp. 398-407

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We use a microscopic approach to derive the stochastic Langevin equations for a quantum Bose liquid near the phase transition to the superfluid state. These equations can be obtained in local form if either the finiteness of the system dimensions or the boundedness of the time interval under study is taken into account. We give the microscopic expressions for random forces in the stochastic equations and show that the white noise approximation holds only in the critical region. We prove that the model for properly describing the critical fluctuations is precisely the F-model.
Keywords: stochastic dynamical model, F-model, critical dynamics, Bose liquid, superfluidity, temporal Green's function.
Mots-clés : Langevin equation 
@article{TMF_2013_175_3_a7,
     author = {M. Gnatich and M. V. Komarova and M. Yu. Nalimov},
     title = {Microscopic justification of the~stochastic {F-model} of critical dynamics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {398--407},
     publisher = {mathdoc},
     volume = {175},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2013_175_3_a7/}
}
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M. Gnatich; M. V. Komarova; M. Yu. Nalimov. Microscopic justification of the~stochastic F-model of critical dynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 3, pp. 398-407. http://geodesic.mathdoc.fr/item/TMF_2013_175_3_a7/