Abstract:
We describe a way of interpreting the chaotic principle of [GC1] more extensively than it was meant in the original works. Mathematically the analysis is based on the dynamical notions of Axiom A and Axiom B and on the notion of Axiom C, that we introduce arguing that it is suggested by the results of an experiment ([BGG]) on chaotic motions. Physically we interpret a breakdown of the Anosov property of a time reversible attractor (replaced, as a control parameter changes, by an Axiom A property) as a spontaneous breakdown of the time reversal symmetry: the relation between time reversal and the symmetry that remains after the breakdown is analogous to the breakdown of T-invariance while TCP still holds.
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Received: 28 February 1996 / Accepted: 12 February 1997
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Bonetto, F., Gallavotti, G. Reversibility, Coarse Graining and the Chaoticity Principle . Comm Math Phys 189, 263–275 (1997). https://doi.org/10.1007/s002200050200
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DOI: https://doi.org/10.1007/s002200050200