Scale-invariant universal crossing probability in one-dimensional diffusion-limited coalescence
نویسنده
چکیده
The crossing probability in the time direction, πt, is defined for an offequilibrium reaction-diffusion system as the probability that the system of size L is still active at time t, in the finite-size scaling limit. Exact results are obtained for the diffusion-limited coalescence problem in 1 + 1 dimensions with periodic and free boundary conditions using empty interval methods. πt is a scale-invariant universal function of an effective aspect ratio, L/Dt, which is the natural scaling variable for this strongly anisotropic system.
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