Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Statistical Mechanics of Fluctuation-Dissipation and Measurement
  Back Action   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.

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The categories of this paper are: dg-ga
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The categories of this paper are: econ
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg