62 citations · 347 across the 26 of their papers we have counts for
26 papers
Temporal Fokker-Planck Equations
Jean Pierre Boon, James F. Lutsko
The temporal Fokker-Plank equation [{\it J. Stat. Phys.}, {\bf 3/4}, 527 (2003)] or propagation-dispersion equation was derived to describe diffusive processes with temporal disper…
Molecular theory of anomalous diffusion - Application to Fluorescence Correlation Spectroscopy
Jean Pierre Boon, James F. Lutsko
The nonlinear theory of anomalous diffusion is based on particle interactions giving an explicit microscopic description of diffusive processes leading to sub-, normal, or super-di…
New comments on "Possible divergences in Tsallis' thermostatistics''
James F. Lutsko, Jean Pierre Boon
In a recent letter ({\it{EPL}}, {\bf{104}} (2013) 60003; see also {\it {arXiv:1309.5645}}), Plastino and Rocca suggest that the divergences inherent to the formulation of nonextens…
Comment on "Possible divergences in Tsallis' thermostatistics"
Jean Pierre Boon, James F. Lutsko
The problematic divergence of the -partition function of the harmonic oscillator recently considered in \cite{plastino} is a particular case of the non-normalizabilty of the dis…
Molecular theory of anomalous diffusion
James F. Lutsko, Jean Pierre Boon
We present a Master Equation formulation based on a Markovian random walk model that exhibits sub-diffusion, classical diffusion and super-diffusion as a function of a single param…
A microscopic approach to nonlinear Reaction-Diffusion: the case of morphogen gradient formation
Jean Pierre Boon, James F. Lutsko, Christopher Lutsko
We develop a microscopic theory for reaction-difusion (R-D) processes based on a generalization of Einstein's master equation with a reactive term and we show how the mean field fo…