Flow-Induced First-Order Transition of the Aggregation in a Lattice Gas

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Abstract
The effect of flow on the aggregation from a finite-density lattice gas has been investigated theoretically and by Monte Carlo simulation, and a dynamical phase transition of the first order is found. For a drift velocity U smaller than a critical value Uc, the aggregate grows steadily, whereas for U > Uc the aggregate stops growing. At U = Uc, the growth velocity and other physical quantities remain finite. The ratio of the critical drift velocity to the growth rate of the aggregate without the drift takes a universal constant, determined only by the fractal dimension of the diffusion-limited aggregation.