par Dorfman, Jonathan Robert;Gilbert, Thomas 
Référence Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 73, 2, page (026221)
Publication Publié, 2006
Référence Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 73, 2, page (026221)
Publication Publié, 2006
Article révisé par les pairs
| Résumé : | We discuss the fluctuation properties of equilibrium chaotic systems with constraints such as isokinetic and Nosé-Hoover thermostats. Although the dynamics of these systems does not typically preserve phase-space volumes, the average phase-space contraction rate vanishes, so that the stationary states are smooth. Nevertheless, finite-time averages of the phase-space contraction rate have nontrivial fluctuations which we show satisfy a simple version of the Gallavotti-Cohen fluctuation theorem, complementary to the usual fluctuation theorem for nonequilibrium stationary states and appropriate to constrained equilibrium states. Moreover, we show that these fluctuations are distributed according to a Gaussian curve for long enough times. Three different systems are considered here: namely, (i) a fluid composed of particles interacting with Lennard-Jones potentials, (ii) a harmonic oscillator with Nosé-Hoover thermostatting, and (iii) a simple hyperbolic two-dimensional map. © 2006 The American Physical Society. |
