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Campisi, Zhan, Talkner, and Haenggi state, in promoting a new logarithmiccomputational thermostat [ arXiv 1203.5968 and 1204.4412 ], that (thermostated)Nose-Hoover mechanics is not Hamiltonian. First I point out that Dettmannclearly showed the Hamiltonian nature of Nose-Hoover mechanics. Thetrajectories {q(t)} generated by Dettmann's Hamiltonian are identical to thosegenerated by Nose-Hoover mechanics. I also observe that when the (Hamiltonian)Campisi thermostat is applied to "nonequilibrium" heat transfer problems somevery interesting, and somewhat paradoxical, phase portraits can result. See tooMarc Mel\'endez' nice arXiv 1205.3478 and our joint work 1206.0188 .

Another Hamiltonian "Thermostat" - Comments on arXiv Contributions 1203.5968, 1204.4412, 1205.3478, and 1206.0188