Simple models for strictly non-ergodic stochastic processes of macroscopic systems.
Journal
The European physical journal. E, Soft matter
ISSN: 1292-895X
Titre abrégé: Eur Phys J E Soft Matter
Pays: France
ID NLM: 101126530
Informations de publication
Date de publication:
11 Oct 2021
11 Oct 2021
Historique:
received:
07
07
2021
accepted:
21
09
2021
entrez:
11
10
2021
pubmed:
12
10
2021
medline:
12
10
2021
Statut:
epublish
Résumé
We investigate simple models for strictly non-ergodic stochastic processes [Formula: see text] (t being the discrete time step) focusing on the expectation value v and the standard deviation [Formula: see text] of the empirical variance [Formula: see text] of finite time series [Formula: see text]. [Formula: see text] is averaged over a fluctuating field [Formula: see text] ([Formula: see text] being the microcell position) characterized by a quenched spatially correlated Gaussian field [Formula: see text]. Due to the quenched [Formula: see text]-field [Formula: see text] becomes a finite constant, [Formula: see text], for large sampling times [Formula: see text]. The volume dependence of the non-ergodicity parameter [Formula: see text] is investigated for different spatial correlations. Models with marginally long-ranged [Formula: see text]-correlations are successfully mapped on shear stress data from simulated amorphous glasses of polydisperse beads.
Identifiants
pubmed: 34633552
doi: 10.1140/epje/s10189-021-00129-3
pii: 10.1140/epje/s10189-021-00129-3
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
125Informations de copyright
© 2021. The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature.
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