Particle kinetics in highly turbulent plasmas (renormalization and self-consistent field methods)

AM Bykov, IN Toptygin - Physics-Uspekhi, 1993 - iopscience.iop.org
This review presents methods available for calculating transport coefficients for impurity
particles in plasmas with strong long-wave MHD-type velocity and magnetic-field …

Quantum fluctuations of a nearly critical Heisenberg spin glass

A Georges, O Parcollet, S Sachdev - Physical Review B, 2001 - APS
We describe the interplay of quantum and thermal fluctuations in the infinite-range
Heisenberg spin glass. This model is generalized to SU (N) symmetry, and we describe the …

Classical diffusion of a particle in a one-dimensional random force field

JP Bouchaud, A Comtet, A Georges, P Le Doussal - Annals of Physics, 1990 - Elsevier
We present a comprehensive study of the motion of a damped Brownian particle evolving in
a static, one dimensional gaussian random force field. We provide both a clear physical …

Superdiffusion in random velocity fields

JP Bouchaud, A Georges, J Koplik, A Provata… - Physical review …, 1990 - APS
We discuss the superdiffusive motion of a random walk in a medium containing random
velocity fields. For a two-dimensional layered medium with y-dependent random velocities in …

Anomalous scaling regimes of a passive scalar advected by the synthetic velocity field

NV Antonov - Physical Review E, 1999 - APS
The field theoretic renormalization group (RG) is applied to the problem of a passive scalar
advected by the Gaussian self-similar velocity field with finite correlation time and in the …

Crossover between field theories with short-range and long-range exchange or correlations

J Honkonen, MY Nalimov - Journal of Physics A: Mathematical …, 1989 - iopscience.iop.org
The relation between scalar field theories with short-range and long-range exchange or
correlations is studied. It is shown to all orders in perturbation theory that the critical …

Lévy flights in quenched random force fields

HC Fogedby - Physical Review E, 1998 - APS
Lévy flights, characterized by the microscopic step index f, are for f< 2 (the case of rare
events) considered in short-range and long-range quenched random force fields with …

Anomalous scaling of a passive scalar advected by the synthetic compressible flow

NV Antonov - Physica D: Nonlinear Phenomena, 2000 - Elsevier
The field theoretic renormalization group and operator product expansion are applied to the
problem of a passive scalar advected by a Gaussian nonsolenoidal velocity field with finite …

Anomalous scaling of a passive scalar advected by the turbulent velocity field with finite correlation time: Two-loop approximation

LT Adzhemyan, NV Antonov, J Honkonen - Physical Review E, 2002 - APS
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 …

Diffusion in time-dependent random media and the Kardar-Parisi-Zhang equation

P Le Doussal, T Thiery - Physical Review E, 2017 - APS
Although time-dependent random media with short-range correlations lead to (possibly
biased) normal tracer diffusion, anomalous fluctuations occur away from the most probable …