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arXiv · 1705.11150

Information transmission and criticality in the contact process

Marzio Cassandro·Antonio Galves·Eva Löcherbach
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Abstract

In the present paper, we study the relation between criticality and information transmission in the one-dimensional contact process with infection parameter $\lambda .$ To do this we define the {\it sensitivity} of the process to its initial condition. This sensitivity increases for values of $\lambda < \lambda_c, $ the value of the critical parameter. The main point of the present paper is that we show that actually it continues increasing even after $ \lambda_c $ and only starts decreasing for sufficiently large values of $\lambda .$ This provides a counterexample to the common belief that associates maximal information transmission to criticality.

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Marzio Cassandro, Antonio Galves, Eva Löcherbach. 2017-05-31. Information transmission and criticality in the contact process. https://doi.org/10.1007/s10955-017-1854-3

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