A dynamical model of capital exchange is introduced in which a specified amount of capital is exchanged between two individuals when they meet. The resulting time dependent wealth distributions are determined for a variety of exchange rules. For ``greedy'' exchange, an interaction between a rich...

The multi-particle potential of mean force between interstitial solute molecules in Ben-Naim's one-dimensional, many-state lattice model is calculated. The solution is a direct extension of an earlier calculation of the two-particle interaction by Kolomeisky and Widom (Faraday Dis. 112 (1999)...

We study statistical properties of a one-dimensional infinite system of interacting particles. Each particle moves with constant velocity towards its closest neighbor and particles coalesce upon collisions. We propose a mean-field theory that predicts a t−1 concentration decay, confirmed by...