Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Information Landscape and Flux, Mutual Information Rate Decomposition
  and Entropy Production   We explore the dynamics of information systems. We show that the driving
force for information dynamics is determined by both the information landscape
and information flux which determines the equilibrium time reversible and the
nonequilibrium time-irreversible behaviours of the system respectively. We
further demonstrate that the mutual information rate between the two subsystems
can be decomposed into the time-reversible and time-irreversible parts
respectively, analogous to the information landscape-flux decomposition for
dynamics. Finally, we uncover the intimate relation between the nonequilibrium
thermodynamics in terms of the entropy production rates and the
time-irreversible part of the mutual information rate. We demonstrate the above
features by the dynamics of a bivariate Markov chain.

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The categories of this paper are: cs
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The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ