A Theoretical Review of Area Production Rates as Test Statistics for Detecting Nonequilibrium Dynamics in Ornstein–Uhlenbeck Processes

A Theoretical Review of Area Production Rates as Test Statistics for Detecting Nonequilibrium Dynamics in Ornstein–Uhlenbeck Processes

A stochastic process is at thermodynamic equilibrium if it obeys time-reversal symmetry; forward and reverse time are statistically indistinguishable at a steady state. Nonequilibrium processes break time-reversal symmetry by maintaining circulating probability currents. In physical processes, these...

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Bibliographic Details
Main Author: Alexander Strang
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Axioms
Subjects:
nonequilibrium stochastic process
Ornstein–Uhlenbeck processes
area production rates
stochastic area
irreversible circulation of fluctuations
detailed balance
Online Access:https://www.mdpi.com/2075-1680/13/12/820

Internet

https://www.mdpi.com/2075-1680/13/12/820

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