Viscosity, Reversibillity, Chaotic Hypothesis, Fluctuation Theorem and Lyapunov Pairing
arXiv:2102.10125 · doi:10.1007/s10955-021-02830-1
Abstract
Incompressible fluid equations are studied with UV cut-off and in periodic boundary conditions. Properties of the resulting ODEs holding uniformly in the cut-off are considered and, in particular, are conjectured to be equivalent to properties of other time reversible equations. Reversible equations with the same regularization and describing equivalently the fluid, and the fluctuations of large classes of observables, are examined in the context of the "Chaotic Hypothesis", "Axiom C" and the "Fluctuation Theorem".
arXiv commentVersion 3:Appendix C removed (together with reference to it following Eq. (A.7)) due to errors in an attempt to understand heuristically the apparent approximate symmetry of the Lyapunov exponents. Former Appendix D is now Appendix C
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