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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cond-mat.stat-mech 2years
2026 2verdicts
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Monte Carlo study of the Edwards-Anderson model finds that disorder modifies some critical exponents while a subgroup of exponents and fractal dimensions stays invariant, defining a strong universality class.
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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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Strong universality class in disordered systems
Monte Carlo study of the Edwards-Anderson model finds that disorder modifies some critical exponents while a subgroup of exponents and fractal dimensions stays invariant, defining a strong universality class.