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 …

Subsurface fluid flow and solute transport take place in a multiscale heterogeneous
environment. Neither these phenomena nor their host environment can be observed or …

Complex multiscale systems are ubiquitous in many areas. This research expository article
discusses the development and applications of a recent information-theoretic framework as …

In this paper we present a self-consistent cumulant expansion (SC-CE) and investigate its
accuracy for the one-dimensional Holstein model with and without phonon dispersion. We …

Modelling extreme events is a central issue in climate science and engineering. The
capacity of imperfect models to capture intermittent behavior with fat-tailed probability …

Numerical modelling of solute dispersion in natural heterogeneous porous media is facing
several challenges. Amongst these we highlight the challenge of accounting for high …

In this paper, we apply a recently developed nonparametric modeling approach, the
“diffusion forecast”, to predict the time-evolution of Fourier modes of turbulent dynamical …

Ensemble averaging of advection-dispersion equations describing transport of a passive
scalar in incompressible random velocity fields requires a closure approximation. Commonly …

Perturbation-based moment equations for advection-diffusion equations with random
advection have been shown to produce physically unrealistic multimodality. Despite …

Turbulent diffusion of a passive tracer caused by a random wavefield is believed to be
quadratic with respect to the energy spectrum ε k of the velocity field (ie proportional to …