On entropy production for controlled Markovian evolution

F. Ticozzi; M. Pavon

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On entropy production for controlled Markovian evolution

M. Pavon, F. Ticozzi

Mathematical Physics · Submitted 8 Feb 2007

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We derive some basic results on the dependence of the relative entropy production rate on the controlling force.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,456 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.23 · human participants 0.02 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We consider thermodynamic systems with finitely many degrees of freedom and subject to an external control action. We derive some basic results on the dependence of the relative entropy production rate on the controlling force. Applications to macromolecular cooling and to controlling the convergence to equilibrium rate are sketched. Analogous results are derived for closed and open n-level quantum systems.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We consider thermodynamic systems with finitely many degrees of freedom and subject to an external control action.	background 0.91	0.18	0.03	asserted 0.83
s1	We derive some basic results on the dependence of the relative entropy production rate on the controlling force.	result 0.61	0.96	0.50	asserted 1.00
s2	Applications to macromolecular cooling and to controlling the convergence to equilibrium rate are sketched.	contribution 0.70	0.76	0.07	asserted 0.78
s3	Analogous results are derived for closed and open n-level quantum systems.	contribution 0.63	0.92	0.10	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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arXiv listing abstract v1

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We consider thermodynamic systems with finitely many degrees of freedom and subject to an external control action. We derive some basic results on the dependence of the relative entropy production rate on the controlling force. Applications to macromolecular cooling and to controlling the convergence to equilibrium rate are sketched. Analogous results are derived for closed and open n-level quantum systems.

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