Emergence of giant strongly connected components in continuum disk-spin percolation

Caravelli, Francesco, Bardoscia, Marco and Caccioli, Fabio (2016) Emergence of giant strongly connected components in continuum disk-spin percolation. Journal of Statistical Mechanics: Theory and Experiment, 2016 (May). ISSN 1742-5468

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Abstract

We propose a continuum model of percolation in two dimensions for overlapping disks with spin. In this model the existence of bonds is determined by the distance between the centers of the disks, and by the scalar product of the (randomly) directed spin with the direction of the vector connecting the centers of neighboring disks. The direction of a single spin is controlled by a "temperature", representing the amount of polarization of the spins in the direction of an external field. Our model is inspired by biological neuronal networks and aims to characterize their topological properties when axonal guidance plays a major role. We numerically study the phase diagram of the model observing the emergence of a giant strongly connected component, representing the portion of neurons that are causally connected. We provide strong evidence that the critical exponents depend on the temperature.

Item Type:	Article
Official URL:	http://iopscience.iop.org/journal/1742-5468
Additional Information:	© 2016 IOP Publishing Ltd and SISSA Medialab srl
Divisions:	Systemic Risk Centre
Subjects:	H Social Sciences > HA Statistics
Date Deposited:	16 Mar 2017 08:14
Last Modified:	12 Dec 2024 01:17
URI:	http://eprints.lse.ac.uk/id/eprint/69805

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