Authors : Giovanni Gallavotti

Title:: Thermostats equivalence in the thermodynamic limit for particles system

Abstract: Talk at Errico Presutti memorial: Thermostats models in space dimension d = 1, 2, 3 for nonequilibrium statistical mechanics are consid- ered and it is shown that, in the thermodynamic limit, the motions of frictionless thermostats and isokinetic ther- mostats coincide (for smooth short range positive interaction potentials). And in the thermodynami limit, the evolutions admit infinitely many constants of motion: namely the intensive observables.

Keywords: thermostats, infinitely-many constants of motion, thermodynamic limit

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