Все выпуски

Список литературы:

1. С. Е. Курушина, Л. И. Громова, Е. А. Шаповалова. Нелинейное многомерное уравнение Фоккера–Планка в приближении среднего поля для многокомпонентных систем реакционнодиффузионного типа // Прикладная нелинейная динамика. — 2014. — Т. 22, № 5. — С. 27–42.
   • S. E. Kurushina, L. I. Gromova, E. A. Shapovalova. Nonlinear multivariate selfconsistent Fokker–Planck equation for multicomponent reaction-diffusion systems // Applied nonlinear dynamics. — 2014. — V. 22, no. 5. — P. 27–22. — in Russian.
2. M. A. M. Aguiar, E. Rauch, Y. Bar-Yam. Mean field approximation to a spatial host-pathogen model // Phys. Rev. E. — 2015. — V. 88. — P. 039901.
3. O. Akerlund, Ph. Forcrand, A. Georges, Ph. Werner. Dynamical mean field approximation applied to quantum field theory // Phys. Rev. D. — 2013. — V. 88. — P. 125006. — DOI: 10.1103/PhysRevD.88.125006.
4. M. S. Araújo, F. S. Vannucchi, A. M. Timpanaro, C. P. C. Prado. Mean-field approximation for the Sznajd model in complex networks // Phys. Rev. E. — 2015. — V. 91. — P. 022813. — MathSciNet: MR3418602.
5. S. Ayik. A stochastic mean-field approach for nuclear dynamics // Phys. Lett. B. — 2008. — V. 658. — P. 174–179. — DOI: 10.1016/j.physletb.2007.09.072. — MathSciNet: MR2380934. — zbMATH: Zbl 1246.81481.
6. G. Bighin, L. Salasnich. Gaussian fluctuations in the two-dimensional BCS-BEC crossover: finite temperature properties // J. Phys.: Conf. Ser. — 2014. — V. 691. — P. 012018.
7. J. Bricmont, H. Bosch. Intermediate model between majority voter PCA and its mean field model // J. Stat. Phys. — 2015. — V. 158. — P. 1090. — DOI: 10.1007/s10955-014-1037-4. — MathSciNet: MR3313619.
8. O. Carrillo, M. Ibañes, J. García-Ojalvo, J. Casademunt, J. M. Sancho. Intrinsic noise-induced phase transitions: Beyond the noise interpretation // Phys. Rev. E. — 2003. — V. 67. — P. 046110. — DOI: 10.1103/PhysRevE.67.046110.
9. O. Carrillo, M. Ibañes, J. M. Sancho. Noise induced phase transitions by nonlinear instability mechanism // Fluct. Noise Lett. — 2002. — V. 2. — P. L1. — DOI: 10.1142/S021947750200052X. — MathSciNet: MR1903926.
10. A. Cēbers. Poiseuille flow of a Quincke suspension // Phys. Rev. E. — 2014. — V. 90. — P. 032305.
11. P.-H. Chavanis. The Brownian mean field model // Eur. Phys. J. B. — 2014. — V. 87. — P. 120. — MathSciNet: MR3210154.
12. Sh. Chen, Q. Wu. Mean field theory of epidemic spreading with effective contacts on networks // Chaos, Solitons and Fractals. — 2015. — V. 81. — P. 359–364. — DOI: 10.1016/j.chaos.2015.10.023. — MathSciNet: MR3426049. — zbMATH: Zbl 1355.90013.
13. B. Deviren, M. Keskin. Dynamic phase transitions and compensation temperatures in a mixed spin-3/2 and spin-5/2 Ising System // J. Stat. Phys. — 2010. — V. 140. — P. 934–947. — DOI: 10.1007/s10955-010-0025-6. — MathSciNet: MR2673341. — zbMATH: Zbl 1197.82083.
14. E. M. Graefe, H. J. Korsch, A. E. Niederle. Mean-field dynamics of a non-hermitian Bose–Hubbard dimer // Phys. Rev. Lett. — 2008. — V. 101. — P. 150408. — DOI: 10.1103/PhysRevLett.101.150408.
15. S. Hayami, Yu. Motome. Topological semimetal-to-insulator phase transition between noncollinear and noncoplanar multiple-Q states on a square-to-triangular lattice // Phys. Rev. B. — 2015. — V. 91. — P. 012101. — DOI: 10.1103/PhysRevB.91.075104.
16. Y. Hinschberger, A. Dixit, Manfredi G.. ., Hervieux P.-A. Equivalence between the semirelativistic limit of the Dirac-Maxwell equations and the Breit-Pauli model in the mean-field approximation // Phys. Rev. A. — 2015. — V. 91. — P. 075104. — DOI: 10.1103/PhysRevA.91.012101. — MathSciNet: MR3402924.
17. B. Horvath, B. Lazarovits, O. Sauret, G. Zarand. Failure of mean-field approach in out-of-equilibrium Anderson model // Phys. Rev. B. — 2008. — V. 77. — P. 113108.
18. M. Ibañes, J. García-Ojalvo, R. Toral, J. M. Sancho. Noise-induced phase separation: Mean-field results // Phys. Rev. E. — 1999. — V. 60. — P. 3597.
19. S. Ishihara, J. Nasu. Resonating valence-bond state in an orbitally degenerate quantum magnet with dynamical Jahn–Teller effect // Phys. Rev. B. — 2015. — V. 91. — P. 045117.
20. N. V. Karetkina. An unconditionally stable difference scheme for parabolic equations containing first derivatives // USSR Computational Mathematics and Mathematical Physics. — 1980. — V. 20. — P. 257. — DOI: 10.1016/0041-5553(80)90078-6. — Math-Net: Mi eng/zvmmf9278. — MathSciNet: MR0564793. — zbMATH: Zbl 0461.65072.
21. J. Kudrnovsky, V. Drchal, L. Bergqvist, I. Vincze. Unified approach to electronic, thermodynamical, and transport properties of Fe3Si and Fe3Al alloys // Phys. Rev. B. — 2014. — V. 90. — P. 134408. — DOI: 10.1103/PhysRevB.90.134408.
22. S. E. Kurushina, V. V. Maximov, Yu. M. Romanovskii. Weiss mean-field approximation for multicomponent stochastic spatially extended systems // Phys. Rev. E. — 2014. — V. 90. — P. 022135. — DOI: 10.1103/PhysRevE.90.022135.
23. A.-W. Leeuw, O. Onishchenko, R. A. Duine, H. T. C. Stoof. Effects of dissipation on the superfluid–Mott-insulator transition of photons // Phys. Rev. A. — 2015. — V. 91. — P. 033609. — DOI: 10.1103/PhysRevA.91.033609.
24. B. Lindnera, J. García -Ojalvo, A. Neimand, L. Schimansky-Geier. Effects of noise in excitable systems // Physics Reports. — 2004. — V. 392. — P. 321.
25. I. Prigogine, R. Lefever. Symmetry Breaking Instabilities in Dissipative Systems. II // J. Chem. Phys. — 1968. — V. 48. — P. 1695. — DOI: 10.1063/1.1668896.
26. R. Rosati, R. C. Iotti, F. Dolcini, F. Rossi. Derivation of nonlinear single-particle equations via many-body Lindblad superoperators: A density-matrix approach // Phys. Rev. B. — 2014. — V. 90. — P. 125140. — DOI: 10.1103/PhysRevB.90.125140.
27. A. A. Samarskii. Homogeneous difference schemes on non-uniform nets for equations of parabolic type // USSR Computational Mathematics and Mathematical Physics. — 1963. — V. 3. — P. 351. — MathSciNet: MR0162366. — zbMATH: Zbl 0128.36801.
28. A. A. Samarskii. Local one dimensional difference schemes on non-uniform nets // USSR Computational Mathematics and Mathematical Physics. — 1963. — V. 3. — P. 572. — MathSciNet: MR0223116.
29. A. A. Samarskii. On an economical difference method for the solution of a multidimensional parabolic equation in an arbitrary region // USSR Computational Mathematics and Mathematical Physics. — 1963. — V. 2. — P. 894. — MathSciNet: MR0183127.
30. J. Serreau, C. Volpe. Neutrino-antineutrino correlations in dense anisotropic media // Phys. Rev. D. — 2014. — V. 90. — P. 125040. — DOI: 10.1103/PhysRevD.90.125040.
31. T. Sowinski, R. W. Chhajlany. Mean-field approaches to the Bose-Hubbard model with three-body local interaction // Phys. Scr. — 2014. — V. 160. — P. 014038.
32. R. L. Stratonovich. Topics in the Theory of Random Noise. — New York: Gordon and Breach, 1963; 1967. — V. 1;2. — MathSciNet: MR0158437.
33. B. Vermersch, J. C. Garreau. Emergence of nonlinear behavior in the dynamics of ultracold bosons // Phys. Rev. A. — 2015. — V. 91. — P. 043603.
34. R. Williams-García, M. Moore, J. Beggs, G. Ortiz. Quasicritical brain dynamics on a nonequilibrium Widom line // Phys. Rev. E. — 2014. — V. 90. — P. 062714.
35. B. Yilmaz, D. Lacroix, R. Curebal. Importance of realistic phase-space representations of initial quantum fluctuations using the stochastic mean-field approach for fermions // Phys. Rev. C. — 2014. — V. 90. — P. 054617.
36. O. Yilmaz, S. Ayik, F. Acar, A. Gokalp. Growth of spinodal instabilities in nuclear matter // Phys. Rev. C. — 2015. — V. 91. — P. 014605. — DOI: 10.1103/PhysRevC.91.014605.
37. A. A. Zaikin, J. García-Ojalvo, L. Schimansky-Geier. Nonequilibrium first-order phase transition induced by additive noise // Phys. Rev. E. — 1999. — V. 60. — P. R6275. — DOI: 10.1103/PhysRevE.60.R6275.