Reversibility, Coarse Graining and the Chaoticity Principle | Zendy

Federico Bonetto | Zendy; Giovanni Gallavotti | Zendy

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Reversibility, Coarse Graining and the Chaoticity Principle

Author(s) -

Federico Bonetto,

Giovanni Gallavotti

Publication year - 1997

Publication title -

communications in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.662

H-Index - 152

eISSN - 1432-0916

pISSN - 0010-3616

DOI - 10.1007/s002200050200

Subject(s) - axiom , chaotic , property (philosophy) , granularity , mathematics , symmetry (geometry) , attractor , pure mathematics , invariance principle , statistical physics , theoretical physics , mathematical analysis , physics , computer science , geometry , epistemology , philosophy , artificial intelligence , operating system

We describe a way of interpreting the chaotic principle of (ref. [GC1]) moreextensively than it was meant in the original works. Mathematically theanalysis is based on the dynamical notions of Axiom A and Axiom B and on thenotion of Axiom C, that we introduce arguing that it is suggested by theresults of an experiment (ref. [BGG]) on chaotic motions. Physically weinterpret a breakdown of the Anosov property of a time reversible attractor(replaced, as a control parameter changes, by an Axiom A property) as aspontaneous breakdown of the time reversal symmetry: the relation between timereversal and the symmetry that remains after the breakdown is analogous to thebreakdown of $T$-invariance while $TCP$ still holds.Comment: 15 pages, plain TeX, no figure

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