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 understanding of fluid turbulence has considerably progressed in recent years. The
application of the methods of statistical mechanics to the description of the motion of fluid …

This volume provides a general field-theoretical picture of critical phenomena and stochastic
dynamics and helps readers develop a practical skill for calculations. This education on the …

Abstract Domain walls in magnets, vortex lattices in superconductors, contact lines at
depinning, and many other systems can be modeled as an elastic system subject to …

We investigate the regime of fully developed homogeneous and isotropic turbulence of the
Navier-Stokes (NS) equation in the presence of a stochastic forcing, using the …

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 …

The field theoretic renormalization group (RG) and the operator-product expansion are
applied to the model of a transverse (divergence-free) vector quantity, passively advected by …

Turbulence is a complex nonlinear and multi-scale phenomenon. Although the fundamental
underlying equations, the Navier–Stokes equations, have been known for two centuries, it …

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 …

The renormalization group and operator product expansion are applied to the model of a
passive scalar quantity advected by the Gaussian self-similar velocity field with finite, and …