Deterministic Soluble Model of Coarsening
arXiv:cond-mat/9607167 · doi:10.1103/PhysRevE.55.252
Abstract
We investigate a 3-phase deterministic one-dimensional phase ordering model in which interfaces move ballistically and annihilate upon colliding. We determine analytically the autocorrelation function A(t). This is done by computing generalized first-passage type probabilities P_n(t) which measure the fraction of space crossed by exactly n interfaces during the time interval (0,t), and then expressing the autocorrelation function via P_n's. We further reveal the spatial structure of the system by analyzing the domain size distribution.
5 pages, RevTeX file
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Cited by in corpus (7)
- Domain Statistics in Coarsening Systems
- Ballistic Annihilation
- Domain Number Distribution in the Nonequilibrium Ising Model
- Aging and its Distribution in Coarsening Processes
- Fraction of uninfected walkers in the one-dimensional Potts model
- Kinetics of ballistic annihilation and branching
- Schrödinger-invariance in the voter model