The probability distribution of the autocorrelation function of a single particle in a chain of anharmonically coupled oscillators reveals a sharp transition to a phase where ergodicity is 'broken'. The critical value of the control parameter is determined with a precision of 1% by numerical experiments. The phase of 'broken' ergodicity shows up with Poincaré recurrences on observable time scales.
Single particle correlation functions for chains of oscillators, in `Advances in Nonlinear Dynamics and Stochastic Processes II', (Roma, 27-29 Ottober 1986), G. Paladin and A. Vulpiani eds., World Scientific, 1987.
ISOLA, Stefano;
1987-01-01
Abstract
The probability distribution of the autocorrelation function of a single particle in a chain of anharmonically coupled oscillators reveals a sharp transition to a phase where ergodicity is 'broken'. The critical value of the control parameter is determined with a precision of 1% by numerical experiments. The phase of 'broken' ergodicity shows up with Poincaré recurrences on observable time scales.File in questo prodotto:
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