Nosé-Hoover and Langevin thermostats do not reproduce the nonequilibrium behavior of long-range Hamiltonians

Abstract

We compare simulations performed using the Nosé-Hoover and the Langevin thermostats with the Hamiltonian dynamics of a long-range interacting system in contact with a reservoir. We find that while the statistical mechanics equilibrium properties of the system are recovered by all the different methods, the Nosé-Hoover and the Langevin thermostats fail in reproducing the nonequilibrium behavior of such Hamiltonian.

Contribution to the proceeding of the "International Conference on the Frontiers of Nonlinear and Complex Systems" in honor of Prof. Bambi Hu, Hong Kong, May 2006

References in corpus (3)

• Generalized canonical ensembles and ensemble equivalence
• Hamiltonian dynamics reveals the existence of quasi-stationary states for long-range systems in contact with a reservoir
• Incomplete equilibrium in long-range interacting systems

Cited by in corpus (1)

• Microcanonical quasi-stationarity of long-range interacting systems in contact with a heat bath