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arXiv · 1212.4644

Mutual Information as a Two-Point Correlation Function in Stochastic Lattice Models

Ulrich Müller·Haye Hinrichsen
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Abstract

In statistical physics entropy is usually introduced as a global quantity which expresses the amount of information that would be needed to specify the microscopic configuration of a system. However, for lattice models with infinitely many possible configurations per lattice site it is also meaningful to introduce entropy as a local observable that describes the information content of a single lattice site. Likewise, the mutual information can be interpreted as a two-point correlation function. Studying a particular growth model we demonstrate that the mutual information exhibits scaling properties that are consistent with the established phenomenological scaling picture.

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Ulrich Müller, Haye Hinrichsen. 2012-12-19. Mutual Information as a Two-Point Correlation Function in Stochastic Lattice Models. https://doi.org/10.1088/1742-5468%2F2013%2F04%2Fp04021

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