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Dissipation and Kullback–Leibler Divergence

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Irreversibility and Dissipation in Microscopic Systems

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Abstract

In this chapter, we introduce the theoretical framework of the first part of our work, in which we study of the relationship between dissipation and irreversibility quantitatively in microscopic systems in the stationary state.

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Notes

  1. 1.

    However, a recent work shows that, if the neglected information contains an external driving, the entropy production estimated in the coarse grained system can be bigger than the real entropy production [8].

  2. 2.

    A sequence of a random variable \(X\), given by \(X_1,X_2,\ldots \), is said to converge almost surely to \(x\) when the probability that the sequence satisfies \(\lim _{n\rightarrow \infty } X_n = x\) is equal to \(1\).

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Authors and Affiliations

  1. Departamento de Física Atómica Molecular y Nuclear and GISC, Universidad Complutense de Madrid, Madrid, Spain

    Édgar Roldán

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  1. Édgar Roldán
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Correspondence to Édgar Roldán .

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Roldán, É. (2014). Dissipation and Kullback–Leibler Divergence. In: Irreversibility and Dissipation in Microscopic Systems. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-07079-7_2

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