Chemical Physics Letters
Volume 128, Issues 5-6 , August 1986, Pages 545-550

Brownian motion and fractal geometry in the liquid state

Translation of linear molecules

J. Samios, P. PfeiferCorresponding Author Contact Information, U. Mittag, M. Obert and Th. Dorfmüller

Fakultät für Chemie, Universität Bielefeld, D-4800 Bielefeld 1, Federal Republic of Germany

Received 30 April 1986.  Available online 5 November 2001.


We have studied the fractal behavior in classical (MD) trajectories of liquid N2 and in continuous random walks using the "box counting method". For liquid N2, analysis of trajectories extending over a time of 60 ps gives a fractal dimen- sion D = 1.67, which is similar to previously results for liquid Ar. We find that for a continuous random walk with a com- parably small number of mean-free-path lengths the fractal dimension also falls below the theoretical value of two.

Corresponding Author Contact Information Permanent address: Physics Department, University of Missouri, Columbia, MO 65211, USA.

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