Ensemble dependence of information-theoretic contributions to the
entropy production
- URL: http://arxiv.org/abs/2301.13061v2
- Date: Mon, 17 Apr 2023 08:26:55 GMT
- Title: Ensemble dependence of information-theoretic contributions to the
entropy production
- Authors: Krzysztof Ptaszynski, Massimiliano Esposito
- Abstract summary: entropy production of an open system coupled to a reservoir in a canonical state can be expressed as a sum of two microscopic information-theoretic contributions.
We show that while in such a case the entropy production can still be expressed as a sum of the mutual information between the system and the bath, the relative weight of those contributions depends on the initial state of the reservoir.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The entropy production of an open system coupled to a reservoir initialized
in a canonical state can be expressed as a sum of two microscopic
information-theoretic contributions: the system-bath mutual information and the
relative entropy measuring the displacement of the environment from
equilibrium. We investigate whether this result can be generalized to
situations where the reservoir is initialized in a microcanonical or in a
certain pure state (e.g., an eigenstate of a nonintegrable system), such that
the reduced dynamics and thermodynamics of the system are the same as for the
thermal bath. We show that while in such a case the entropy production can
still be expressed as a sum of the mutual information between the system and
the bath and a properly redefined displacement term, the relative weight of
those contributions depends on the initial state of the reservoir. In other
words, different statistical ensembles for the environment predicting the same
reduced dynamics for the system give rise to the same total entropy production
but to different information-theoretic contributions to the entropy production.
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