The addition of wealth-attained advantage (WAA) to the Yard-Sale Model (YSM) of asset exchange has been demonstrated to induce wealth condensation. In a model of WAA for which the bias is a continuous function of the wealth difference of the transacting agents, the condensation was shown to arise from a second-order phase transition to a coexistence regime. In this paper, we present the first analytic time-dependent results for this model, by showing that the condensed wealth obeys a logistic equation in time.

We review the class of cellular automata known as lattice gases, and their applications to problems in physics and materials science. The presentation is self-contained, and assumes very little prior knowledge of the subject. Hydrodynamic lattice gases are emphasized, and non-lattice-gas cellular automata – even those with physical applications – are not treated at all. We begin with a review of lattice gases as the term is understood in equilibrium statistical physics. We then discuss the various methods that have been proposed to simulate hydrodynamics with a lattice gas, leading up to the 1986 discovery of a lattice gas for the isotropic Navier–Stokes equations. Finally, we discuss variants of lattice-gas models that have been used for the simulation of complex fluids.

We discuss different approaches to the short -range variab le-neighbor Molecular Dynamlcs problem on parallel mach ines and in particular the Connection Machzne CM-2. Tradltwnal Molecular Dynamics methods are reviewed and the computational require­ ments of parallel algorithms are analyzed. Three ap­ proaches based on parallel extensions of lznked lists, Verlet neighbor lzsts and coarse-grained cells are p­ resented and their advantages and disadvantages dis­ cussed. Performance evaluation and comparisons with other algorithms and machines are provided.