Abstract
For regimes of flame propagation and diffusion-limited aggregation in which cluster contact is rate limiting, we find that the propagation velocity exhibits a new form of scaling related to percolation. We compute a "propagation exponent" ψ and derive it in terms of static exponents. We also derive bounds on a "transport exponent" ψ governing the critical diffusivity of fast tracers in lattice gases and the critical conductivity of stirred binary mixtures.

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