[HTML][HTML] Reaction–diffusion models of development with state-dependent chemical diffusion coefficients

CJ Roussel, MR Roussel - Progress in biophysics and molecular biology, 2004 - Elsevier
Reaction–diffusion models are widely used to model developmental processes. The great
majority of current models invoke constant diffusion coefficients. However, the diffusion of …

Thermodynamics of adatoms diffusing on a surface with two different sites: a new type of phase transition

Z Chvoj, H Conrad, V Cháb - Surface science, 1997 - Elsevier
The chemical surface diffusion coefficient D has been determined for a lattice-gas model
where diffusion proceeds through two non-equivalent lattice sites with different activation …

A lattice-gas cellular automaton to model diffusion in restricted geometries

P Demontis, FG Pazzona… - The Journal of Physical …, 2006 - ACS Publications
Topological constraints play a fundamental role in problems involving the transfer of heat,
matter, or information in a discrete network. Flows in microporous media are the most …

Thermodynamic properties of a system of interacting particles adsorbed on a lattice with two nonequivalent sites

AA Tarasenko, Z Chvoj, L Jastrabik, F Nieto, C Uebing - Physical Review B, 2001 - APS
We investigate the thermodynamic properties of a system of particles adsorbed on a lattice
with two nonequivalent sites, with different unit cell numbers and adsorption energies. We …

Pattern formation in excitable media with concentration-dependent diffusivities

MR Roussel, J Wang - The Journal of chemical physics, 2004 - pubs.aip.org
We study a model of pattern formation in an excitable medium with concentration-dependent
diffusivities. The reaction terms correspond to a two-variable Gray–Scott model in which the …

Diffusion in tight confinement: A lattice-gas cellular automaton approach. I. Structural equilibrium properties

P Demontis, FG Pazzona, GB Suffritti - The Journal of chemical physics, 2007 - pubs.aip.org
The thermodynamic and transport properties of diffusing species in microporous materials
are strongly influenced by their interactions with the confining framework, which provide the …

Diffusion in tight confinement: A lattice-gas cellular automaton approach. II. Transport properties

P Demontis, FG Pazzona, GB Suffritti - The Journal of chemical physics, 2007 - pubs.aip.org
In this second paper the authors study the transport properties of the lattice-gas cellular
automaton presented in Paper I [J. Chem. Phys. 126, 194709 (2007)] to model adsorption …

Connection between thermodynamic properties and diffusion coefficient for a system of non-interacting particles on a lattice with two non-equivalent sites

Z Chvoj, H Conrad, V Cháb - Surface science, 1996 - Elsevier
By calculating the jump diffusion rate (Г) and the thermodynamical factor (Kd) for a layer of
non-interacting particles on a lattice with the non-equivalent bond sites we show that the …

Surface diffusion on a lattice with two non-equivalent adsorption sites: repulsive interactions

Z Chvoj, V Cháb, H Conrad - Surface science, 1999 - Elsevier
We calculated the surface diffusion coefficient D as a function of coverage in the quasi-
chemical approximation of a system of particles on a square lattice with two non-equivalent …

Surface diffusion on a square lattice with two non-equivalent sites

NA Tarasenko, AA Tarasenko, Z Bryknar, L Jastrabik - Surface science, 2004 - Elsevier
We investigate surface diffusion in a system of particles adsorbed on a square lattice with
two non-equivalent sites. Analytical expression for the chemical diffusion coefficient have …