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

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

2007-01-31

arxiv.org/abs/cond-mat/0701783v1

Int. Jour. Mod. Phys. B 21, 4000 (2007)

Physics

Condensed Matter

Statistical Mechanics

Contribution to the proceeding of the "International Conference on the Frontiers of Nonlinear and Complex Systems" in honor of

Scientific paper

10.1142/S0217979207045098

We compare simulations performed using the Nos\'e-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 Nos\'e-Hoover and the Langevin thermostats fail in reproducing the nonequilibrium behavior of such Hamiltonian.

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