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Thus L [ 1 − C(n) vv (t) ] ≃ ˆk(s) m s2 ∼ 1 s3/ 2 (28) and therefore, at short time scales 1 − C(n) vv (t) ∼ t1/ 2 (29) that implies ⟨(v(t + ∆ t) − v(t))2⟩eq ∼ ∆ t1/ 2 (30) i.e

is ˆ k(s) while the denominator is controlled by m s2

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The fractal dimension of Brownian dynamics in liquids

cond-mat.stat-mech · 2026-05-15 · unverdicted · novelty 7.0

Brownian velocity fluctuations in liquids have fractal dimension 7/4 due to non-Markovian hydrodynamic thermal noise, establishing a new non-equilibrium universality class.

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  • The fractal dimension of Brownian dynamics in liquids cond-mat.stat-mech · 2026-05-15 · unverdicted · none · ref 50

    Brownian velocity fluctuations in liquids have fractal dimension 7/4 due to non-Markovian hydrodynamic thermal noise, establishing a new non-equilibrium universality class.