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...

An analytic method of smearing link variables in lattice QCD is proposed and tested. The differentiability of the smearing scheme with respect to the link variables permits the use of modern Monte Carlo updating methods based on molecular dynamics evolution for gauge-field actions constructed using such smeared links. In examining the smeared mean plaquette and the static quark-antiquark potent...

We present a new hybrid lattice-Boltzmann and Langevin molecular dynamics scheme for simulating the dynamics of suspensions of spherical colloidal particles. The solvent is modelled on the level of the lattice-Boltzmann method whereas the molecular dynamics is done for the solute. The coupling between the two is implemented through a frictional force acting both on the solvent and on the solute...

In this note we give a characterization of meet-projections in simple atomistic lattices that generalizes results on the aggregation of partitions in cluster analysis. Documents de Travail du Centre d'Economie de la Sorbonne 2010.58 1 AGGREGATION and RESIDUATION Bruno LECLERC 1 and Bernard MONJARDET 2 Abstract In this note we give a characterization of meet-projections in simple atomistic latti...

Submitted for the MAR06 Meeting of The American Physical Society Geometrically induced nonlinear dynamics in one-dimensional lattices MERLE D. HAMILTON, O.F. DE ALCANTARA BONFIM, University of Portland — We present a lattice model consisting of a single one-dimensional chain, where the masses are interconnected by linear springs and allowed to move in a horizontal direction only, as in a monora...

Simulated tempering (ST) has attracted a great deal of attention in the last years, due to its capability to allow systems with complex dynamics to escape from regions separated by large entropic barriers. However its performance is strongly dependent on basic ingredients, such as the choice of the set of temperatures and their associated weights. Since the weight evaluations are not trivial ta...

In this note we give a characterization of meet-projections in simple atomistic lattices which generalizes previous results on the aggregation of partitions obtained in a cluster analysis framework. Mathematics Subject Classifications (2010). 06A5, 6207, 91B14.

Cellular automata are models for discrete lattice dynamics. In seminar I present some abstract theory of cellular automata with some interesting applications in several scientific fields. The seminar concludes with description of widely used Boltzmann lattice models.

The nonexistence of heteroclinic travelling waves in an atomistic model for martensitic phase transitions is the focus of this study. The elastic energy is assumed to be piecewise quadratic, with two wells representing two stable phases. We demonstrate that there is no travelling wave joining bounded strains in the different wells of this potential for a range of wave speeds significantly lower...

We describe how a natural lattice analogue of the abelian current algebra combined with free discrete time dynamics gives rise to the lattice Virasoro algebra and corresponding hierarchy of conservation laws.