229 citations · 1.9k across the 71 of their papers we have counts for
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Approximate calculation of multidimensional first passage times
James F. Lutsko
The general, multidimensional barrier crossing problem for diffusive processes under the action of conservative forces is studied with the goal of developing tractable approximatio…
The use of open boundaries in stochastic hydrodynamic models of nucleation
James F. Lutsko
Stochastic hydrodynamics is a central tool in the study of first order phase transitions at a fundamental level. Combined with sophisticated free energy models, e.g. as developed i…
Classical Density Functional Theory in the Canonical Ensemble
James F. Lutsko
Classical density functional theory for finite temperatures is usually formulated in the grand-canonical ensemble where arbitrary variations of the local density are possible. Howe…
Explicitly stable Fundamental Measure Theory models for classical density functional theory
James F. Lutsko
The derivation of the state of the art tensorial versions of Fundamental Measure Theory (a form of classical Density Functional Theory for hard spheres) are re-examined in the ligh…
Long-wavelength density fluctuations as nucleation precursors
James F. Lutsko, Julien Lam
Recent theories of nucleation that go beyond Classical Nucleation Theory predict that diffusion-limited nucleation of both liquid droplets and of crystals from a low-density vapor…
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…
Direct correlation function from the consistent fundamental-measure free energies for hard-sphere mixtures
James F. Lutsko
In a recent publication[PRE 86, 04012 (2012)], Santos has presented a self-consistency condition that can be used to limit the possible forms of Fundamental Measure Theory. Here, t…
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…
Questioning the validity of non-extensive thermodynamics for classical Hamiltonian systems
J. F. Lutsko, J. P. Boon
We examine the non-extensive approach to the statistical mechanics of Hamiltonian systems with where is the classical kinetic energy. Our analysis starts from the basic…
The low-density/high-density liquid phase transition for model globular proteins
Patrick Grosfils, James F. Lutsko
The effect of molecule size (excluded volume) and the range of interaction on the surface tension, phase diagram and nucleation properties of a model globular protein is investigat…
Is nonextensive statistics applicable to continuous Hamiltonian systems?
J. P. Boon, J. F. Lutsko
The homogeneous entropy for continuous systems in nonextensive statistics reads , where is the phase space variable. O…
Is the Tsallis entropy stable?
James F. Lutsko, Jean Pierre Boon, Patrick Grosfils
The question of whether the Tsallis entropy is Lesche-stable is revisited. It is argued that when physical averages are computed with the escort probabilities, the correct applicat…
Density Functional Theory of Inhomogeneous Liquids: III. Liquid-Vapor Nucleation
James F. Lutsko
The process of nucleation of vapor bubbles from a superheated liquid and of liquid droplets from a supersaturated vapor is investigated using the Modified-Core van der Waals model…
Theoretical description of the nucleation of vapor bubbles in a superheated fluid
James F. Lutsko
The nucleation of vapor bubbles within a superheated fluid is studied using density functional theory. The nudged elastic band technique is used to find the minimum energy pathway…
Dependence of the liquid-vapor surface tension on the range of interaction: a test of the law of corresponding states
Patrick Grosfils, James F. Lutsko
The planar surface tension of coexisting liquid and vapor phases of a fluid of Lennard-Jones atoms is studied as a function of the range of the potential using both Monte Carlo sim…
Density Functional Theory of Inhomogeneous Liquids: II. A Fundamental Measure Approach
James F. Lutsko
Previously, it has been shown that the direct correlation function for a Lennard-Jones fluid could be modeled by a sum of that for hard-spheres, a mean-field tail and a simple line…
Generalized Diffusion
James F. Lutsko, Jean Pierre Boon
The Fokker-Planck equation for the probability to find a random walker at position at time is derived for the case that the the probability to make jumps depends n…
Density functional theory of inhomogeneous liquids. I. The liquid-vapor interface in Lennard-Jones fluids
James F. Lutsko
A simple model is proposed for the direct correlation function (DCF) for simple fluids consisting of a hard-core contribution, a simple parametrized core correction, and a mean-fie…
Nonlinear diffusion from Einstein's master equation
J. P. Boon, J. F. Lutsko
We generalize Einstein's master equation for random walk processes by considering that the probability for a particle at position to make a jump of length lattice sites, $P…
Properties of non-FCC hard-sphere solids predicted by density functional theory
James F. Lutsko
The free energies of the FCC, BCC, HCP and Simple Cubic phases for hard spheres are calculated as a function of density using the Fundamental Measure Theory models of Rosenfeld et…