Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session B24: Systems Far from Equilibrium
11:15 AM–2:03 PM,
Monday, March 2, 2020
Sponsoring Unit: GSNP
Chair: John Bechhoefer, Simon Fraser University
Abstract: B24.00001 : Thermodynamic uncertainty relations and fluctuation theorems for Bayes nets*
(Santa Fe Inst)
(Santa Fe Inst)
Here I derive a detailed fluctuation theorem (DFT) for an arbitrary subset of the systems in S (including the full set). I then derive an IFT for an arbitrary subset of the systems in S, extending the IFT in . I also derive thermodynamic uncertainty relations for the precision of probability currents among joint states of the systems, and for the precision of the work performed by the full set of systems. Rather than the EP generated by a single system in S and the transfer entropy from it to the other systems, these results involve the sum of the EPs generated by all of the systems in S and the change in the multi-information of the joint system as it evolves.
 - S. Ito and T. Sagawa, "Information thermodynamics on causal networks", PRL, 111 (2013), no. 18, 180603
*This work was supported by the Santa Fe Institute and Grant No. CHE-1648973 from the NSF.
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