Hidden Markov models for stochastic thermodynamics

被引:37
作者
Bechhoefer, John [1 ]
机构
[1] Simon Fraser Univ, Dept Phys, Burnaby, BC V5A 1S6, Canada
来源
NEW JOURNAL OF PHYSICS | 2015年 / 17卷
基金
加拿大自然科学与工程研究理事会;
关键词
nonequilibrium thermodynamics; feedback; information theory; hidden Markov models; INFORMATION; TUTORIAL;
D O I
10.1088/1367-2630/17/7/075003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The formalism of state estimation and hidden Markov models can simplify and clarify the discussion of stochastic thermodynamics in the presence of feedback and measurement errors. After reviewing the basic formalism, we use it to shed light on a recent discussion of phase transitions in the optimized response of an information engine, for which measurement noise serves as a control parameter. The HMM formalism also shows that the value of additional information displays a maximum at intermediate signal-to-noise ratios. Finally, we discuss how systems open to information flow can apparently violate causality; the HMM formalism can quantify the performance gains due to such violations.
引用
收藏
页数:18
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