@article{oai:nagoya.repo.nii.ac.jp:00007171,
 author = {Watanabe, Hiroshi and Kobayashi, Hiroto},
 issue = {4},
 journal = {PHYSICAL REVIEW E},
 month = {Apr},
 note = {One-variable thermostats are studied as a generalization of the Nosé-Hoover method, which is aimed at achieving Gibbs’ canonical distribution while conserving the time reversibility. A condition for equations of motion for the system with the thermostats is derived in the form of a partial differential equation. Solutions of this equation constitute a family of thermostats including the Nosé-Hoover method as the minimal solution. It is shown that the one-variable thermostat coupled with the one-dimensional harmonic oscillator loses its ergodicity with large enough relaxation time. The present result suggests that multivariable thermostats are required to assure the ergodicity and to work as a heat bath.},
 pages = {040102--040102},
 title = {Ergodicity of a thermostat family of the Nosé-Hoover type},
 volume = {75},
 year = {2007}
}