arXiv subjects

L. Sladkoff

Publications and source records attributed to L. Sladkoff.

2 recordsLinked to original sources

arXiv2008

Calculation of the dynamical critical exponent in the model A of critical dynamics to order ε^4

A new method based on the R'-operation of the renormalization theory is proposed for the numerical calculation of the renormalization constants in the theory of critical behaviour. The problem of finding residues of the poles of the Green's functions at ε= 0, where ε= 4 - d, is reduced to the evaluation of multiple UV-finite integrals, which can be performed by means of standard integration programs. The method is used to calculate the renormalization group functions of the model A of critical dynamics in four-loop approximation. Dynamical exponent z of the model A is calculated in the fourth order of the ε-expansion.

cond-mat.stat-mech↗

arXiv2004

Two-loop calculation of the turbulent Prandtl number

The turbulent Prandtl number has been calculated in the two-loop approximation of the $\eps$ expansion of the stochastic theory of turbulence. The strikingly small value obtained for the two-loop correction explains the good agreement of the earlier one-loop result with the experiment. This situation is drastically different from other available nontrivial two-loop results, which exhibit corrections of the magnitude of the one-loop term. The reason is traced to the mutual cancellation of additional divergences appearing in two dimensions which have had a major effect on the results of previous calculations of other quantities.

physics.flu-dyn↗