Microscopic chaos from brownian motion?

Peter Grassberger and Thomas Schreiber
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Peter Grassberger: University of Wuppertal
Thomas Schreiber: University of Wuppertal

Nature, 1999, vol. 401, issue 6756, 875-876

Abstract: 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.

Date: 1999
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DOI: 10.1038/44762

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