When discussing research in physics and in science more generally, it is common to ascribe
equal importance to the three components of the scientific trinity: theoretical, experimental …

The swirling motion of fluids that occurs irregularly in space and time is called turbulence.
However, this randomness, apparent from a casual observation, is not without some order …

Recent progress on the anomalous scaling in models of turbulent heat and mass transport is
reviewed with the emphasis on the approach based on the field-theoretic renormalization …

A novel investigation of the nature of intermittency in incompressible, homogeneous, and
isotropic turbulence is performed by a numerical study of the Navier-Stokes equations …

This paper is the first in a series of papers that aim at understanding the scaling behavior of
hydrodynamic turbulence. We present in this paper a perturbative theory for the structure …

The field theoretic renormalization group is applied to the stochastic Navier–Stokes equation
that describes fully developed fluid turbulence in d> 2 dimensions. For the first time, the …

Tracy-Widom and Baik-Rains distributions appear as universal limit distributions for height
fluctuations in the one-dimensional Kardar-Parisi-Zhang (KPZ) stochastic partial differential …

We study the renormalization group flow of the average action of the stochastic Navier-
Stokes equation with power-law forcing. Using Galilean invariance, we introduce a …

The path integral for randomly forced incompressible fluids is shown to have an underlying
Becchi-Rouet-Stora (BRS) symmetry as a consequence of Galilean invariance. This …

A formulation of the Martin–Siggia–Rose (MSR) method for describing the statistical
dynamics of classical systems is presented. The present formulation is very similar in …