FM 1-2020, arxiv:2001.08436

Authors : Giovanni Gallavotti

Title:: Equivalent Ensembles, Turbulence and Fluctuation Theorem

Abstract: Stationary states of Navier-Stokes fluids have been proposed to be described equivalently by several al- ternative equations, besides the NS equation itself. In particular equivalence between the NS evolution and a reversible. It is natural to test whether, assuming the Chaotic Hypothesis, the Fluctuation Theorem can be ap- plied to the reversible flows. Here an example is provided which also leads to the possibility of testing (for the first time) the prediction of the fluctuation theorem even in systems evolving irreversibly

Keywords: Nonequilibrium, Thermodynamics, Fluctuations, Entropy, Navier-Stokes equation, Nonequilibrium ensembles

Giovanni Gallavotti
INFN-Roma1 and Universit\`a "La Sapienza” Roma, Italy