We introduce a simple ecological model describing the spatial organization of two interacting populations whose individuals are indifferent to conspecifics and avoid the proximity to heterospecifics. At small population densities Φ a nontrivial structure is observed where clusters of individuals arrange into a rhomboidal bipartite network with an average degree of 4. For Φ→0 the length scale, order parameter, and susceptibility of the network exhibit power-law divergences compatible with hyperscaling, suggesting the existence of a zero-density nontrivial critical point. At larger densities a critical threshold Φc is identified above which the evolution toward a partially ordered configuration is prevented and the system becomes jammed in a fully mixed state. © 2014 American Physical Society.

Geometry for a penguin-albatross rookery / F. Giavazzi, A. Vailati. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - 89:5(2014 May), pp. 052706.1-052706.6. [10.1103/PhysRevE.89.052706]

Geometry for a penguin-albatross rookery

F. Giavazzi;A. Vailati
2014-05

Abstract

We introduce a simple ecological model describing the spatial organization of two interacting populations whose individuals are indifferent to conspecifics and avoid the proximity to heterospecifics. At small population densities Φ a nontrivial structure is observed where clusters of individuals arrange into a rhomboidal bipartite network with an average degree of 4. For Φ→0 the length scale, order parameter, and susceptibility of the network exhibit power-law divergences compatible with hyperscaling, suggesting the existence of a zero-density nontrivial critical point. At larger densities a critical threshold Φc is identified above which the evolution toward a partially ordered configuration is prevented and the system becomes jammed in a fully mixed state. © 2014 American Physical Society.
Condensed Matter Physics ; Statistical and Nonlinear Physic s; Statistics and Probability
Settore FIS/03 - Fisica della Materia
Settore FIS/07 - Fisica Applicata(Beni Culturali, Ambientali, Biol.e Medicin)
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/243220
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