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Entropy production in systems with random transition rates close to equilibrium
Daniel M Busiello1, Jorge Hidalgo1, Amos Maritan1
1Department of Physics and Astronomy "G. Galilei" and INFN, Universitá di Padova, Via Marzolo 8, 35131 Padova, Italy.
Physical Review. E
|January 20, 2018
Summary
This study uses random networks to analyze entropy production in systems near equilibrium. It provides a baseline estimation for entropy production, useful for comparing real-world systems.
Area of Science:
- Statistical mechanics
- Non-equilibrium thermodynamics
- Network theory
Background:
- Understanding entropy production is crucial for characterizing systems out of equilibrium.
- Master equations describe the dynamics of systems with a finite number of states near equilibrium.
Purpose of the Study:
- To investigate entropy production in systems out of equilibrium using a random network framework.
- To identify key parameters influencing entropy production in such systems.
- To establish a null-model for entropy production estimation.
Main Methods:
- Mapping system dynamics to a network of states (nodes) and transition rates (links).
- Analyzing entropy production in ensembles of randomly generated networks under specific constraints (e.g., size, symmetries).
Main Results:
- Identified key parameters that significantly determine entropy production values.
- Developed a framework for estimating entropy production based on random network properties.
Conclusions:
- Random network analysis provides a valuable null-model for entropy production.
- This approach aids in the comparative analysis of entropy production in diverse physical systems.
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