Giovanni Gallavotti, Roma Sapienza,

Title: Thermostats equivalence in the thermodynamic limit for particles systems

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