2013/10/31 by Fei Liu, Hongcheng Xie, Zhiyue Lu
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Applied mathematics #Brownian motion #Computer science #Control (management) #Diffusion #Economics #Einstein relation #Engineering #Entropy (arrow of time) #Feedback control #Field-Flow Fractionation Techniques #Mathematical economics #Mathematics #Physics #Quantum mechanics #Relation (database) #Statistical physics #Statistics #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/0253-6102/62/4/14
published as Comm. Theor. Phys. 62, 571 (2014) · 1 figure
arxiv created 2014/06/23 · openalex publication_date 2014/10/01 · arxiv updated 2015/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We extend a generalized integral fluctuation relation in diffusion processes that we obtained previously to the situation with feedback control. The general relation not only covers existing results but also predicts other unnoticed fluctuation relations. In addition, we find that its explanation of time-reversal automatically emerges in the derivation. This interesting observation leads into an alternative inequality about the entropy-like quantity with an improved lower bound. Two feedback-controlled Brownian models are used to verify the result.