A pedagogical review of the historical development and current status (as of early 2000) of
systematic statistical theories of plasma turbulence is undertaken. Emphasis is on …

For the last several decades, renormalization group (RG, or RNG) methods have been
applied to a wide variety of problems of turbulence in hydrodynamics and plasma physics. A …

We discuss the general link between mode-coupling like equations (which serve as the
basis of some recent theories of supercooled liquids) and the dynamical equations …

We use the mapping between the Burgers equation and the problem of a directed polymer
in a random medium in order to study the fully developed turbulence in the N-dimensional …

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 type of eddy‐damped quasinormal Markovian (EDQNM) closure is shown to be potentially
nonrealizable in the presence of linear wave phenomena. This statistical closure results …

Abstract We generalize the Kardar-Parisi-Zhang (KPZ) equation to an O (3) N= 2j+ 1
component model. In the limit N→∞ we show that the mode coupling equations become …

A bstract We revisit the Amit-Roginsky (AR) model in the light of recent studies on Sachdev-
Ye-Kitaev (SYK) and tensor models, with which it shares some important features. It is a …

We study the off-equilibrium relaxational dynamics of the Amit-Roginsky φ 3 field theory, for
which the mode coupling approximation is exact. We show that complex phenomena such …

We point out that a classical analog of the Sachdev-Ye-Kitaev (SYK) model, a solvable
model of quantum many-body chaos, was studied long ago in the turbulence literature …