Thermodynamic Uncertainty Relation for f-divergence Entropy Production

2025/04/16 by Yi C. Huang, Huang, Yi C., Xin T. Tong +1
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mathematical Inequalities and Applications #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.2504.11821

openalex publication_date 2025/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose an f-divergence extension of the Hasegawa-Nishiyama thermodynamic uncertainty relation. More precisely, we introduce the stochastic thermodynamic entropy production based on generalised f-divergences and derive corresponding uncertainty relations in connection with the symmetry entropy.

Related

• Thermodynamic entropic uncertainty relation
• Thermodynamic variational relation
• Thermodynamic uncertainty relation for quantum entropy production
• Quantum relative entropy uncertainty relation
• Classical uncertainty relations and entropy production in non-equilibrium statistical mechanics