Brownian velocity fluctuations in liquids have fractal dimension 7/4 due to non-Markovian hydrodynamic thermal noise, establishing a new non-equilibrium universality class.
Langevin, Sur la theorie du mouvement brownien, CR Acad
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Equilibrium Brownian trajectories encode non-equilibrium hydrodynamic information through displacement moments, confirming a t^{5/2} scaling from fluid inertia and suggesting a possible t^4 scaling at shorter times due to velocity regularity.
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The fractal dimension of Brownian dynamics in liquids
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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Brownian motion: non-equilibrium states from equilibrium trajectories -- recovering hydrodynamic regimes from prepared displacement measurements
Equilibrium Brownian trajectories encode non-equilibrium hydrodynamic information through displacement moments, confirming a t^{5/2} scaling from fluid inertia and suggesting a possible t^4 scaling at shorter times due to velocity regularity.