Non-ergodic Stochastic Processes
A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Statistical Physics".
Deadline for manuscript submissions: closed (20 September 2021) | Viewed by 6127
Special Issue Editor
Interests: statistical physics of complex systems and networks; stochastic processes; biological physics; information theory and cell sensing; non-equilibrium statistical mechanics
Special Issue Information
Dear Colleagues,
The ergodic hypothesis that ensemble averages and time averages are equal in the limit of infinite measurement time, is a cornerstone of statistical mechanics. In the past decades, with the emergence of many complex physical, biological, and socio-economic systems violating this condition, the challenge of modelling the statistics and dynamics of this regime has become of paramount importance, especially in conjunction with advanced experimental techniques, such as single particle tracing in cells or the spectroscopy of nanomolecules, heavily dependent on single trajectory analysis.
From the anomalous diffusion of molecules and tracers in cells, to fluctuations in the spectra of nanomolecules from glasses relaxation to market fluctuations, to name a few, a plethora of systems characterized by non-ergodic fluctuations have highlighted the importance of extending theoretical models based on stochastic processes to non-ergodic regimes.
It is especially important to reconcile experimental observations that are usually bound to the time domain with the underlying correct model of fluctuations.
The purpose of this Special Issue is to give an opportunity to publish papers on non-ergodic stochastic processes and their application to the modelling of complex systems. We welcome overviews and original papers using theory, simulations, and experiments.
Dr. Gerardo Aquino
Guest Editor
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Keywords
- Renewal processes and continuous time random walk
- Fractional Brownian motion
- Linear response and fluctuation-dissipation relations
- Information and entropy of non-ergodic stochastic processes
- Diffusion in internal protein states
- Anomalous diffusion in cells, time vs. ensemble average
- Record dynamics
- Spectral diffusion in macromolecules and nanocrystals
- Non-ergodicity and non-ergodic fluctuations in market and economic models
- Non-ergodicity in brain activity
- Time series analysis, theory and applications
- Applications in physics, biology, and economics
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