Abstract
Using Monte Carlo molecular dynamics, a new, careful study is made of the approach of the trajectory of a typical particle in a hard sphere fluid to that of a Brownian particle, discussed before by Powles and Quirke and Rapaport. The apparent fractal dimension of the trajectory, as a function of reduced length scale,Δ(η), characterizes the transition from mechanical to Brownian motion and differs markedly from 2 in all present computer simulations.
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Erpenbeck, J.J., Cohen, E.G.D. Note on the fractal dimension of hard sphere trajectories. J Stat Phys 43, 343–347 (1986). https://doi.org/10.1007/BF01010586
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DOI: https://doi.org/10.1007/BF01010586