This paper presents a new lattice-gas method for molecular dynamics modeling. A mean field treatment is given and is applied to a linear stability analysis. Exact numerical simulations of the solid-phase crystallization is presented, as is a finite-temperature multiphase liquid-gas system. The lattice-gas method, a discrete dynamical method, is therefore capable of representing a variety of col...

Mark Alber ∗, Maria Kiskowski ∗, Yi Jiang †, and Stuart Newman + ∗ Department of Mathematics, 255 Hurley Building, University of Notre Dame, Notre Dame, IN 46556-4618, USA E-mail: [email protected] † Theoretical Division, Los Alamos National Laboratory Los Alamos, NM 87545, USA E-mail: [email protected] + Department of Cell Biology & Anatomy, Basic Science Building New York Medical College, Valhalla, ...

Cellular automata can model natural phenomena on many diierent levels of detail. Often, one speciic level of detail is appropriate for the problem under investigation. But in some cases a connection between the diierent levels of detail is necessary. One such case is the catalytic reaction on a surface. The homogeneous crystallographic surface can reasonably well be described by mesoscopic appr...

A class of fermionic quantum field theories with interactions is shown to be equivalent probabilistic cellular automata, namely automata a probability distribution for the initial states. Probabilistic on one-dimensional lattice are two-dimensional fermions. They can viewed as generalized Ising models square and therefore classical statistical systems. As they Thus mechanics emerges from statis...

[2] Karsten Lehmann and Rafael Peñaloza. The complexity of computing the behaviour of lattice automata on infinite trees. On the decidability status of fuzzy ALC with general concept inclusions. [4] Stefan Borgwardt and Rafael Peñaloza. Consistency reasoning in lattice-based fuzzy description logics. Context-dependent views to axioms and consequences of semantic web ontologies. Classifying soft...

We use a lattice gas cellular automata model in the presence of random dynamic scattering sites and quenched disorder in the two-phase immiscible model with the aim of producing an interface dynamics similar to that observed in Hele-Shaw cells. The dynamics of the interface is studied as one fluid displaces the other in a clean lattice and in a lattice with quenched disorder. For the clean syst...

Exact results are obtained for a lattice gas on the 3-12 lattice with twoand three-site interactions. By using a decoration transformation, we map the lattice gas into one on the honeycomb lattice with pure two-site interactions. This procedure permits us to draw exact results for the original 3-12 lattice gas. In particular, we obtain its exact two-phase boundary, and confirm the fact that an ...

We perform Monte Carlo simulations of the hard-sphere lattice gas on the body-centred cubic lattice with nearest neighbour exclusion. We get the critical exponents, β/ν = 0.311(8) and γ/ν = 2.38(2), where β, γ, and ν are the critical exponents of the staggered density, the staggered compressibility, and the correlation length, respectively. The values of the hard-sphere lattice gas on the simpl...

A cellular automata (CA) approach is proposed for simulating a fluid flow through the porous material with tortuous channels and different wetting properties of pore walls. The approach aims to combine CA methods both for construction the structure of porous material model and to simulate the fluid flow through it. It is shown that any kind of tortuous structure may be obtained by pattern forma...