Published 2007
| Published
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The Statistical Mechanics of Fluctuation-Dissipation and Measurement Back Action
Chicago
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Abstract
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.
Additional Information
© 2007 IEEE. Issue Date: 9-13 July 2007; Date of Current Version: 30 July 2007. H. Sandberg is supported by the Hans Werthén foundation and a postdoctoral grant from the Swedish Research Council. This research was partly supported by the FNRS and the Belgian Programme on Interuniversity Attraction Poles, initiated by the Belgian Federal Science Policy Office. The scientific responsibility rests with its authors. The authors would like to thank Ben Recht for many helpful suggestions and comments.Attached Files
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Additional details
- Eprint ID
- 20673
- Resolver ID
- CaltechAUTHORS:20101104-115927780
- Hans Werthén Foundation
- Swedish Research Council
- Fonds de la Recherche Scientifique (FNRS)
- Belgian Federal Science Policy Office
- Created
-
2010-11-04Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field
- Series Name
- Proceedings of the American Control Conference
- Other Numbering System Name
- INSPEC Accession Number
- Other Numbering System Identifier
- 9886778