A lattice gas automaton approach to “turbulent diffusion”

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

The thermodynamic and transport properties of diffusing species in microporous materials are strongly influenced by their interactions with the confining framework, which provide the energy landscape for the transport process. The simple topology and the cellular nature of the alpha cages of a ZK4 zeolite suggest that it is appropriate to apply to the study of the problem of diffusion in tight ...

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

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 and dynamics of particles in a lattice of confining cells. Their work shows how a surprisingly simple parallel rule applied to a static network of cells joined by links set in space and time can generate a wide range o...

Spontaneous Nucleation in a Reactive Lattice Gas Automaton

Polymer gas approach to N - body lattice

We give a simple proof, based only on combinatorial arguments, of the Koteck y-Preiss condition for the convergence of the cluster expansion. Then we consider spin systems with long range, N body interactions. We prove directly, using polymer gas representation, that the pressure may be written in terms of an absolutely convergent series uniformely in the volume, when the interaction is summabl...

A New Approach to Buckling Analysis of Lattice Composite Structures

Buckling strength of composite latticed cylindrical shells is one of the important parameters for studying the failure of these structures. In this paper, new governing differential equations are derived for latticed cylindrical shells and their critical buckling axial loads. The nested structure under compressive axial buckling load was analyzed. Finite Element Method (FEM) was applied to mode...