Quantum field theory, Renormalization group, Critical phenomena, Fully developed hydrodynamical turbulence, Anomalous scaling.
UDC:
517.9, 539.12
Subject:
Application of field theoretic methods to statistical physics, theory of critical phenomena, and fully developed turbulence.
Biography
1985: Graduated from the Leningrad State University, Dpt of Physics, Chair of high energy physics and elementary particles.
1985–1990: Leningrad branch of V. A. Steklov Mathematical Institute, Researcher.
1989: Ph.D. Supervisor A. N. Vasiliev.
1990–2007: Institute of Physics of the St. Petersburg State University, Researcher.
2000: Doctor of Sciences.
2007: Dpt of Physics, St. Petersburg State University, Professor.
Main publications:
Антонов Н. В., Васильев А. Н., “Критическая динамика как теория поля”, ТМФ, 60:1 (1984), 59–71
Adzhemyan L. Ts., Antonov N. V., Vasil'ev A. N., “Renormalization group, operator product expansion, and anomalous scaling in a model of advected passive scalar”, Phys. Rev. E, 58 (1998), 1823–1835
N. V. Antonov, “Renormalization group, operator product expansion and anomalous scaling in models of turbulent advection”, J. Phys. A: Math. Gen., 39 (2006), 7825–7865
N. V. Antonov and A. A. Ignatieva, “Critical behaviour of a fluid in a random shear flow: Renormalization group analysis of a simplified model”, J. Phys. A: Math. Theor., 39 (2006), 13593-13620
L. Ts. Adzhemyan, N. V. Antonov et al., “Renormalization group in the infinite-dimensional turbulence: Third-order results”, J. Phys. A: Math. Theor., 41 (2008), 495002
N. V. Antonov, P. I. Kakin, A. Yu. Luchin, “Field theoretic renormalization group in a model of random walk on a random surface”, Zap. Nauchn. Sem. POMI, 548 (2025), 16–26
2021
2.
N. V. Antonov, M. M. Tumakova, “A general vector field coupled to a strongly compressible turbulent flow”, Zap. Nauchn. Sem. POMI, 509 (2021), 5–24
2019
3.
N. V. Antonov, N. M. Gulitskii, M. M. Kostenko, T. Lučivjanský, “Renormalization group analysis of models of advection of a vector admixture and a tracer field by a compressible turbulent flow”, TMF, 200:3 (2019), 429–451; Theoret. and Math. Phys., 200:3 (2019), 1294–1312
N. V. Antonov, M. Gnatich, A. S. Kapustin, T. Lučivjanský, L. Mižišin, “Directed-bond percolation subjected to synthetic compressible velocity fluctuations: Renormalization group approach”, TMF, 190:3 (2017), 377–390; Theoret. and Math. Phys., 190:3 (2017), 323–334
N. V. Antonov, M. V. Kompaniets, N. M. Lebedev, “Critical behavior of the $O(n)$$\phi^4$ model with an antisymmetric tensor order parameter: Three-loop approximation”, TMF, 190:2 (2017), 239–253; Theoret. and Math. Phys., 190:2 (2017), 204–216
N. V. Antonov, P. I. Kakin, “Scaling in landscape erosion: Renormalization group analysis of a model with infinitely many couplings”, TMF, 190:2 (2017), 226–238; Theoret. and Math. Phys., 190:2 (2017), 193–203
N. V. Antonov, P. I. Kakin, “Random interface growth in a random environment: Renormalization group analysis of a simple model”, TMF, 185:1 (2015), 37–56; Theoret. and Math. Phys., 185:1 (2015), 1391–1407
N. V. Antonov, N. M. Gulitskii, “Anomalous scaling in statistical models of passively advected vector fields”, TMF, 176:1 (2013), 22–34; Theoret. and Math. Phys., 176:1 (2013), 851–860
N. V. Antonov, A. S. Kapustin, A. V. Malyshev, “Effects of turbulent transfer on critical behavior”, TMF, 169:1 (2011), 124–136; Theoret. and Math. Phys., 169:1 (2011), 1470–1480
N. V. Antonov, A. V. Malyshev, “The effect of strongly anisotropic turbulent mixing on critical behavior: Renormalization group analysis of two nonstandard systems”, TMF, 167:1 (2011), 50–77; Theoret. and Math. Phys., 167:1 (2011), 444–467
L. Ts. Adzhemyan, N. V. Antonov, P. B. Goldin, T. L. Kim, M. V. Kompaniets, “Renormalization group in the theory of turbulence: Three-loop approximation as $d\to\infty$”, TMF, 158:3 (2009), 460–477; Theoret. and Math. Phys., 158:3 (2009), 391–405
N. V. Antonov, P. B. Goldin, “Exact Anomalous Dimensions of Composite Operators in the Obukhov–Kraichnan Model”, TMF, 141:3 (2004), 455–468; Theoret. and Math. Phys., 141:3 (2004), 1725–1736
N. V. Antonov, ““Toy models” of turbulent convection and the hypothesis of the local isotropy restoration”, Zap. Nauchn. Sem. POMI, 269 (2000), 79–91; J. Math. Sci. (N. Y.), 115:1 (2003), 1929–1934
L. Ts. Adzhemyan, N. V. Antonov, A. N. Vasil'ev, “Renormalization group, operator expansion, and anomalous scaling in a simple model of turbulent diffusion”, TMF, 120:2 (1999), 309–314; Theoret. and Math. Phys., 120:2 (1999), 1074–1078
L. Ts. Adzhemyan, N. V. Antonov, “Renormalization group in turbulence theory: Exactly solvable Heisenberg model”, TMF, 115:2 (1998), 245–262; Theoret. and Math. Phys., 115:2 (1998), 562–574
N. V. Antonov, A. V. Runov, “Renormalization group in the theory of the two-dimensional turbulence: Instability of the fixed point with respect to weak anisotropy”, TMF, 112:3 (1997), 417–427; Theoret. and Math. Phys., 112:3 (1997), 1131–1139
N. V. Antonov, M. Yu. Nalimov, A. A. Udalov, “Renormalization group in the problem of the fully developed turbulence of a compresible fluid”, TMF, 110:3 (1997), 385–398; Theoret. and Math. Phys., 110:3 (1997), 305–315
N. V. Antonov, A. N. Vasil'ev, “Renormalization group in the theory of developed turbulence. The problem of justifying the Kolmogorov hypotheses for composite operators”, TMF, 110:1 (1997), 122–136; Theoret. and Math. Phys., 110:1 (1997), 97–108
N. V. Antonov, S. V. Borisenok, V. I. Girina, “Renormalization group in the theory of fully developed turbulence. Problem of the infrared relevant corrections to the Navier–Stokes equation”, TMF, 107:1 (1996), 47–63; Theoret. and Math. Phys., 107:1 (1996), 456–468
N. V. Antonov, S. V. Borisenok, V. I. Girina, “Renormalization group in the theory of fully developed turbulence. Composite operators of canonical dimension eight”, TMF, 106:1 (1996), 92–101; Theoret. and Math. Phys., 106:1 (1996), 75–83
L. Ts. Adzhemyan, N. V. Antonov, A. N. Vasil'ev, “Quantum field renormalization group in the theory of fully developed turbulence”, UFN, 166:12 (1996), 1257–1284; Phys. Usp., 39:12 (1996), 1193–1219
N. V. Antonov, “On the infra-red asymptotic behavior of the pair correlator of the energy dissipation rate for well-developed turbulence”, Zap. Nauchn. Sem. POMI, 224 (1995), 81–86; J. Math. Sci. (New York), 88:2 (1998), 159–161
24.
L. Ts. Adzhemyan, N. V. Antonov, A. N. Vasiliev, M. M. Perekalin, “The problem of justifying Kolmogorov's conjectures in the stochastic theory of turbulence”, Zap. Nauchn. Sem. POMI, 224 (1995), 43–54; J. Math. Sci. (New York), 88:2 (1998), 134–141
L. Ts. Adzhemyan, N. V. Antonov, T. L. Kim, “Composite operators, short–distance expansion and Galilean invariance in the theory of fully developed turbulence. Infrared corrections to the Kolmogorov's scaling”, TMF, 100:3 (1994), 382–401; Theoret. and Math. Phys., 100:3 (1994), 1086–1099
N. V. Antonov, A. N. Vasil'ev, M. M. Stepanova, “Infrared asymptotics of the Feynman propagator in a simple non-Abellian model”, TMF, 96:2 (1993), 313–320; Theoret. and Math. Phys., 96:2 (1993), 989–993
1991
27.
N. V. Antonov, A. N. Vasil'ev, A. S. Stepanenko, “Scaling function $\tau\to 0$ asymptotics of the correlation function in the
$O_n-\varphi^4$ model”, TMF, 88:1 (1991), 149–152; Theoret. and Math. Phys., 88:1 (1991), 779–781
28.
N. V. Antonov, “On the infrared asymptotics of the velocity-velocity correlator in the theory of the turbulence”, Zap. Nauchn. Sem. LOMI, 189 (1991), 15–23; J. Soviet Math., 62:5 (1992), 2950–2955
N. V. Antonov, V. E. Korepin, “Critical properties of completely integrable spin models in quasicrystals”, TMF, 77:3 (1988), 402–411; Theoret. and Math. Phys., 77:3 (1988), 1282–1288
N. V. Antonov, “Renormalizing approach to the theory of developed turbulence: Infrared asymptotic of scaling functions”, Zap. Nauchn. Sem. LOMI, 169 (1988), 18–28
N. V. Antonov, “Scaling function for the velocity correlator in the theory of isotropic developed turbulence”, Zap. Nauchn. Sem. LOMI, 164 (1987), 3–9
34.
N. V. Antonov, V. E. Korepin, “Critical properties and correlation functions of the eight-vertex model on a quasicrystal”, Zap. Nauchn. Sem. LOMI, 161 (1987), 13–23
1985
35.
N. V. Antonov, V. E. Korepin, “Cancellation of infrared divergences in quantum theory of solitons”, TMF, 64:3 (1985), 339–346; Theoret. and Math. Phys., 64:3 (1985), 873–877
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