Abstract
The concept of ‘coarse graining’ in statistical physics is reexamined in relation to the appearance of macroscopic chaos in dynamical systems. Two aspects are pointed out which seem to deserve due consideration.
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(i)
Concerning the formal aspect, the onset of chaos should be modelled after ‘intrinsic coarsening’, due essentially to the limitation in self-evaluation. This implies that the ‘kinematic’ many-body aspect is in fact irrelevant.
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(ii)
Concerning the physical aspect, the proper description of the macroscopic chaos should be bilateral, i.e.,covering the deterministic aspect as well as the stochastic. This leads naturally to the concept of ‘coherent randomness’.
The content of this paper was first reported on Jan. 7, 1983 at a Symposium on “Investigation and Control of Turbulent Phenomena” in Kyoto.
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© 1984 Springer-Verlag Berlin Heidelberg
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Tomita, K. (1984). Coarse Graining Revisited — The Case of Macroscopic Chaos. In: Kuramoto, Y. (eds) Chaos and Statistical Methods. Springer Series in Synergetics, vol 24. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69559-9_1
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