For scaled Brownian motion, Riemann-Liouville fractional Brownian motion, and fractional Brownian motion, the fastest first passage time decays logarithmically with searcher number and subdiffusion can be faster than normal diffusion, though exact regimes are model-dependent.
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For one-sided absorbing boundaries on the semi-infinite line, the first-passage time density scales as t to the power of -1/(2α)-1 at long times, with an optimal α minimizing the mean first-passage time.
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Universality and ambiguity in extremes of anomalous diffusion
For scaled Brownian motion, Riemann-Liouville fractional Brownian motion, and fractional Brownian motion, the fastest first passage time decays logarithmically with searcher number and subdiffusion can be faster than normal diffusion, though exact regimes are model-dependent.
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First-Passage Times for the Space-Fractional Spectral Fokker-Planck Equation
For one-sided absorbing boundaries on the semi-infinite line, the first-passage time density scales as t to the power of -1/(2α)-1 at long times, with an optimal α minimizing the mean first-passage time.