Simple models for strictly non-ergodic stochastic processes of macroscopic systems

We investigate simple models for strictly non-ergodic stochastic processes x t ( t being the discrete time step) focusing on the expectation value v and the standard deviation δ v of the empirical variance v [ x ] of finite time series x . x t is averaged over a fluctuating field σ r ( r being the m...

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Veröffentlicht in:	The European physical journal. E, Soft matter and biological physics Soft matter and biological physics, 2021-10, Vol.44 (10), p.125-125, Article 125
Hauptverfasser:	George, G., Klochko, L., Semenov, A. N., Baschnagel, J., Wittmer, J. P.
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Sprache:	eng
Schlagworte:	Beads Biological and Medical Physics Biophysics Complex Fluids and Microfluidics Complex Systems Condensed matter physics Correlation Ergodic processes Nanotechnology Physics Physics and Astronomy Polymer Sciences Quenching Regular Article – Flowing Matter Series (mathematics) Shear stress Soft and Granular Matter Stochastic models Stochastic processes Surfaces and Interfaces Thin Films
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container_end_page	125
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container_title	The European physical journal. E, Soft matter and biological physics
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creator	George, G. Klochko, L. Semenov, A. N. Baschnagel, J. Wittmer, J. P.
description	We investigate simple models for strictly non-ergodic stochastic processes x t ( t being the discrete time step) focusing on the expectation value v and the standard deviation δ v of the empirical variance v [ x ] of finite time series x . x t is averaged over a fluctuating field σ r ( r being the microcell position) characterized by a quenched spatially correlated Gaussian field g r . Due to the quenched g r -field δ v ( Δ τ ) becomes a finite constant, Δ ne > 0 , for large sampling times Δ τ . The volume dependence of the non-ergodicity parameter Δ ne is investigated for different spatial correlations. Models with marginally long-ranged g r -correlations are successfully mapped on shear stress data from simulated amorphous glasses of polydisperse beads.
doi_str_mv	10.1140/epje/s10189-021-00129-3
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subjects	Beads Biological and Medical Physics Biophysics Complex Fluids and Microfluidics Complex Systems Condensed matter physics Correlation Ergodic processes Nanotechnology Physics Physics and Astronomy Polymer Sciences Quenching Regular Article – Flowing Matter Series (mathematics) Shear stress Soft and Granular Matter Stochastic models Stochastic processes Surfaces and Interfaces Thin Films
title	Simple models for strictly non-ergodic stochastic processes of macroscopic systems
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