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The Statistical Mechanics of Fluctuation-Dissipation and Measurement Back Action
Caltech, Control and Dynamical Systems, California Institute of Technology.ORCID iD: 0000-0003-1835-2963
Caltech, Control and Dynamical Systems.
Caltech, Control and Dynamical Systems.
2007 (English)In: 2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, 1033-1038 p.Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we take a control-theoretic approach to answering some standard questions in statistical mechanics. A central problem is the relation between systems which appear macroscopically dissipative but are microscopically lossless. We show that a linear macroscopic system is dissipative if and only if it can be approximated by a linear lossless microscopic system, over arbitrarily long time intervals. As a by-product, we obtain mechanisms explaining Johnson-Nyquist noise as initial uncertainty in the lossless state, as well as measurement back action and a trade-off between process and measurement noise.

Place, publisher, year, edition, pages
2007. 1033-1038 p.
Series
Proceedings of the American Control Conference, ISSN 0743-1619
Keyword [en]
Johnson-Nyquist noise;control theory;fluctuation-dissipation;linear lossless microscopic system;linear macroscopic system;macroscopically dissipative system;measurement back action;microscopically lossless system;statistical mechanics;system interconnection;uncertainty;fluctuations;interconnected systems;linear systems;statistical mechanics;thermal noise;uncertain systems;
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-74671DOI: 10.1109/ACC.2007.4282774ISI: 000252258802162OAI: oai:DiVA.org:kth-74671DiVA: diva2:489794
Conference
26th American Control Conference. New York, NY. JUL 09-13, 2007
Note
QC 20120206Available from: 2012-02-03 Created: 2012-02-03 Last updated: 2012-02-06Bibliographically approved

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Sandberg, Henrik

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