401 citations · 524 across the 5 of their papers we have counts for
5 papers
Dynamical pinning and non-Hermitian mode transmutation in the Burgers equation
Hans C. Fogedby
We discuss the mode spectrum in both the deterministic and noisy Burgers equations in one dimension. Similar to recent investigations of vortex depinning in superconductors, the sp…
Canonical phase space approach to the noisy Burgers equation: Probability distributions
Hans C. Fogedby
We present a canonical phase space approach to stochastic systems described by Langevin equations driven by white noise. Mapping the associated Fokker-Planck equation to a Hamilton…
Canonical phase space approach to the noisy Burgers equation
Hans C. Fogedby
Presenting a general phase approach to stochastic processes we analyze in particular the Fokker-Planck equation for the noisy Burgers equation and discuss the time dependent and st…
Levy Flights in External Force Fields: Langevin and Fractional Fokker-Planck Equations, and their Solutions
Sune Jespersen, Ralf Metzler, Hans C. Fogedby
We consider Levy flights subject to external force fields. This anomalous transport process is described by two approaches, a Langevin equation with Levy noise and the correspondin…
Continuum limit, Galilean invariance, and solitons in the quantum equivalent of the noisy Burgers equation
Hans C. Fogedby, Anders B. Eriksson, Lev V. Mikheev
A continuum limit of the non-Hermitian spin-1/2 chain, conjectured recently to belong to the universality class of the noisy Burgers or, equivalently, Kardar-Parisi-Zhang equation,…