Persistent random walks with time-dependent reversal probabilities p(t) ~ t^{-α} undergo a super-diffusive to ballistic transition at α=1, characterized via correlations and scaling.
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Diffusive-to-Ballistic transition in a Persistent Random Walk
Persistent random walks with time-dependent reversal probabilities p(t) ~ t^{-α} undergo a super-diffusive to ballistic transition at α=1, characterized via correlations and scaling.