| Autor: |
J P, Wittmer, A N, Semenov, J, Baschnagel |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
The European physical journal. E, Soft matter. 45(8) |
| ISSN: |
1292-895X |
| Popis: |
Focusing on non-ergodic macroscopic systems, we reconsider the variances [Formula: see text] of time averages [Formula: see text] of time-series [Formula: see text]. The total variance [Formula: see text] (direct average over all time series) is known to be the sum of an internal variance [Formula: see text] (fluctuations within the meta-basins) and an external variance [Formula: see text] (fluctuations between meta-basins). It is shown that whenever [Formula: see text] can be expressed as a volume average of a local field [Formula: see text] the three variances can be written as volume averages of correlation functions [Formula: see text], [Formula: see text] and [Formula: see text] with [Formula: see text]. The dependences of the [Formula: see text] on the sampling time [Formula: see text] and the system volume V can thus be traced back to [Formula: see text] and [Formula: see text]. Various relations are illustrated using lattice spring models with spatially correlated spring constants. . |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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