Lyapunov exponent of many-particle systems: Testing the stochastic approach

摘要: The stochastic approach to the determination of largest Lyapunov exponent a many-particle system is tested in so-called mean-field $\mathrm{XY}$ Hamiltonians. In weakly chaotic regimes, relates few statistical properties Hessian matrix interaction, which can be calculated as suitable thermal averages. We have verified that there satisfactory quantitative agreement between theory and simulations disordered phases models, either with attractive or repulsive interactions. Part success due possibility predicting shape required correlation functions, because this permits calculation times