We investigate violations of ergodicity in a chain of anharmonically coupled oscillators (Fermi-Pasta-Ulam model). We show that the statistical properties of the autocorrelation function of a single oscillator reveal a sharp transition at the value of the control parameter, the energy density, εc = 1.14 ± 0.01. The phase of broken ergodicity (ε < εc) reveals Poincaré recurrences on observable time scales.
Broken ergodicity and single-particle statistical properties
ISOLA, Stefano;
1987-01-01
Abstract
We investigate violations of ergodicity in a chain of anharmonically coupled oscillators (Fermi-Pasta-Ulam model). We show that the statistical properties of the autocorrelation function of a single oscillator reveal a sharp transition at the value of the control parameter, the energy density, εc = 1.14 ± 0.01. The phase of broken ergodicity (ε < εc) reveals Poincaré recurrences on observable time scales.File in questo prodotto:
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