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.

arXiv commentContribution 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 (4)

• 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
• Topological Non--connectivity Threshold in long-range spin systems

Cited by in corpus (5)

• Microcanonical quasi-stationarity of long-range interacting systems in contact with a heat bath
• Dynamical stability of systems with long-range interactions: application of the Nyquist method to the HMF model
• Kinetic theory of nonequilibrium stochastic long-range systems: Phase transition and bistability
• Kinetic theory for non-equilibrium stationary states in long-range interacting systems
• Physical interpretation of the canonical ensemble for long-range interacting systems in the absence of ensemble equivalence