2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216763The relation between finite isokinetic thermostats and infinite Hamiltonian thermostats is studied and their equivalence is heuristically discussed.6 pages, 1 figure v2: several comments added thanks to the referees' suggestions; v3: collision rules with walls and influence on the form of the equations of motion precised (see acknowledgements). Two columns formatStatistical MechanicsOn Thermostats: Isokinetic or Hamiltonian? finite or infinite?text