On Lossless Approximations, the Fluctuation- Dissipation Theorem, and Limitations of Measurements

In this paper, we take a control-theoretic approach to answering some standard questions in statistical mechanics, and use the results to derive limitations of classical measurements. A central problem is the relation between systems which appear macroscopically dissipative but are microscopically lossless. We show that a linear system is dissipative if… (More)