title: Hamiltonian dynamics of thermostated systems: two-temperature heat-conducting phi4 chains.
abstract: We consider and compare four Hamiltonian formulations of thermostated mechanics, three of them kinetic, and the other one configurational. Though all four approaches "work" at equilibrium, their application to many-body nonequilibrium simulations can fail to provide a proper flow of heat. All the Hamiltonian formulations considered here are applied to the same prototypical two-temperature "phi4" model of a heat-conducting chain. This model incorporates nearest-neighbor Hooke's-Law interactions plus a quartic tethering potential. Physically correct results, obtained with the isokinetic Gaussian and Nose-Hoover thermostats, are compared with two other Hamiltonian results. The latter results, based on constrained Hamiltonian thermostats, fail to model correctly the flow of heat.
authors.affiliation: Highway Contract 60, Ruby Valley, Nevada 89833, USA. hooverwilliam@yahoo.com
authors.forename: Wm G
authors.initials: WG
authors.lastname: Hoover
authors.forename: Carol G
authors.initials: CG
authors.lastname: Hoover