Statistical mechanics

Microscopic chaos from brownian motion?

Abstract

Gaspard et al.1 have shown that the position of a brownian particle behaves like a Wiener process with positive resolution-dependent entropy2. More surprisingly3,4,5, they claim that this observation provides proof of ‘microscopic chaos’, a term they illustrate by examples of finite dimensional dynamical systems which are intrinsically unstable. We do not believe that they have provided evidence for microscopic chaos in the sense in which they use the term.

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Grassberger, P., Schreiber, T. Microscopic chaos from brownian motion?. Nature 401, 875–876 (1999). https://doi.org/10.1038/44762

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