Hierarchical bounds on entropy production inferred from partial information. (28th September 2017)

• Record Type: Journal Article
• Authors: Bisker, Gili; Polettini, Matteo; Gingrich, Todd R; Horowitz, Jordan M
• Is Part Of: Journal of statistical mechanics. (2017:Sep.)
• Publication Date: 2017-09-28
• Subjects: 9 -- 12; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aa8c0d
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: Systems driven away from thermal equilibrium constantly deliver entropy to their environment. Determining this entropy production requires detailed information about the system's internal states and dynamics. However, in most practical scenarios, only a part of a complex experimental system is accessible to an external observer. In order to address this challenge, two notions of partial entropy production have been introduced in the literature as a way to assign an entropy production to an observed subsystem: one due to Shiraishi and Sagawa (2015 Phys. Rev . E91 012130) and another due to Polettini and Esposito (2017 arXiv:1703.05715). We show that although both of these schemes provide a lower bound on the total entropy production, the latter—which utilizes an effective thermodynamics description—gives a better estimate of the total dissipation. Using this effective thermodynamic framework, we establish a partitioning of the total entropy production into two contributions that individually verify integral fluctuation theorems: an observable partial entropy production and a hidden entropy production assigned to the unobserved subsystem. Our results offer broad implications for both theoretical and empirical systems when only partial information is available.