Measuring disorder in irreversible decay processes

Abstract

Rate coefficients can fluctuate in statically and dynamically disordered kinetics. Here we relate the rate coefficient for an irreversibly decaying population to the Fisher information. From this relationship we define kinetic versions of statistical-length squared and divergence that measure cumulative fluctuations in the rate coefficient. We show the difference between these kinetic quantities measures the amount of disorder, and is zero when the rate coefficient is temporally and spatially unique.

6 pages, 2 figures

References in corpus (3)

• Measuring thermodynamic length
• Thermodynamic metrics and optimal paths
• Far-from-Equilibrium Measurements of Thermodynamic Length

Cited by in corpus (8)

• Time-information uncertainty relations in thermodynamics
• Unifying Quantum and Classical Speed Limits on Observables
• Fundamental Speed Limits to the Generation of Quantumness
• Nonequilibrium uncertainty principle from information geometry
• Chemical reactions induced by oscillating external fields in weak thermal environments
• Time-dependent probability density functions and information geometry in stochastic logistic and Gompertz models
• Order and disorder in irreversible decay processes
• Far-from-Equilibrium Time Evolution between two Gamma Distributions