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most citedRenormalization-group approach to the stochastic Navier--Stokes equation: Two-loop approximation

70 citations · 287 across the 6 of their papers we have counts for

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6 papers

nlin.CD2004★ 43 cited

An improved $\eps$ expansion for three-dimensional turbulence: two-loop renormalization near two dimensions

L. Ts. Adzhemyan, J. Honkonen, M. V. Kompaniets +1

An improved $\eps$ expansion in the -dimensional () stochastic theory of turbulence is constructed at two-loop order which incorporates the effect of pole singularities a…

nlin.CD2003★ 15 cited

An improved $\eps$ expansion for three-dimensional turbulence: summation of nearest dimensional singularities

L. Ts. Adzhemyan, J. Honkonen, M. V. Kompaniets +1

An improved $\eps$ expansion in the -dimensional () stochastic theory of turbulence is constructed by taking into account pole singularities at in coefficients…

nlin.CD2002★ 70 cited

Renormalization-group approach to the stochastic Navier--Stokes equation: Two-loop approximation

L. Ts. Adzhemyan, N. V. Antonov, M. V. Kompaniets +1

The field theoretic renormalization group is applied to the stochastic Navier--Stokes equation that describes fully developed fluid turbulence. The complete two-loop calculation of…

nlin.CD2001★ 59 cited

Calculation of the anomalous exponents in the rapid-change model of passive scalar advection to order

L. Ts. Adzhemyan, N. V. Antonov, V. A. Barinov +2

The field theoretic renormalization group and operator product expansion are applied to the model of a passive scalar advected by the Gaussian velocity field with zero mean and cor…

nlin.CD2000★ 57 cited

Anomalous exponents in the rapid-change model of the passive scalar advection in the order

L. Ts. Adzhemyan, N. V. Antonov, V. A. Barinov +2

Field theoretic renormalization group is applied to the Kraichnan model of a passive scalar advected by the Gaussian velocity field with the covariance $<{\bf v}(t,{\bf x}){\bf v}(…

hep-th1993★ 43 cited

On Calculation of $2+\veps$ RG Functions in the Gross Neveu Model from Large Expansions of Critical Exponents

N. A. Kivel, A. S. Stepanenko, A. N. Vasil'ev

Using knowledge of the explicit dependence of the RG functions and expressions of critical exponents in the framework of large expansion in the Gross Neveu model we derive…