Abstract
A two-dimensional, two-color, nonlinear, Galilean invariant, Boltzmann cellular automaton is used to study rupture and coalescence processes in two fluid systems. A Lyapunov distance is introduced to characterize the dynamics of rupture, and its dependence on the parameters of the system, such as the coefficient of the surface tension, is studied. Systematic trends are obtained. A comparison to molecular dynamics studies is made. Coalescence is studied in the context of a droplet in a background fluid falling in a gravitational field to the bottom of a container. Three cases have been studied: a ``bare'' wall, a shallow liquid of the same kind as the droplet, and a deeper liquid. In each case, detailed momentum and density fields are obtained and compared.
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