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 …

General aspects of the Fluctuation–Dissipation Relation (FDR), and Response Theory are
considered. After analyzing the conceptual and historical relevance of fluctuations in …

We review the general aspects of the concept of temperature in equilibrium and non-
equilibrium statistical mechanics. Although temperature is an old and well-established …

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 …

Deterministic and stochastic parameterisations with self-similar scaling laws are developed
to represent the subgrid eddy–eddy interactions in the large eddy simulation (LES) of …

In this paper, we review recently developed closure-based and stochastic model
approaches to subgrid scale modelling of eddy interactions motivated by advances in non …

In this paper error growth is examined using a family of inhomogeneous statistical closure
models based on the quasi-diagonal direct interaction approximation (QDIA), and the results …

Turbulence is the most important, ubiquitous, and difficult problem of classical physics.
Feynman viewed it as essentially unsolved, without a rigorous mathematical basis to …

Statistical dynamical closures for inhomogeneous turbulence described by multi‑field
equations are derived based on renormalized perturbation theory. Generalizations of the …

Maximum entropy states or statistical mechanical equilibrium solutions have played an
important role in the development of a fundamental understanding of turbulence and its role …