Self tuning phase separation in a model with competing interactions inspired by biological cell polarization

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dc.creatorFerraro, T.
dc.creatorConiglio, A.
dc.creatorZannetti, M.
dc.date2008-12-15
dc.date2009-03-12
dc.date.accessioned2026-07-07T12:59:48Z
dc.date.available2026-07-07T12:59:48Z
dc.descriptionWe present a theoretical study of a system with competing short-range ferromagnetic attraction and a long-range anti-ferromagnetic repulsion, in the presence of a uniform external magnetic field. The interplay between these interactions, at sufficiently low temperature, leads to the self-tuning of the magnetization to a value which triggers phase coexistence, even in the presence of the external field. The investigation of this phenomenon is performed using a Ginzburg-Landau functional in the limit of an infinite number of order parameter components (large $N$ model). The scalar version of the model is expected to describe the phase separation taking place on a cell surface when this is immersed in a uniform concentration of chemical stimulant. A phase diagram is obtained as function of the external field and the intensity of the long-range repulsion. The time evolution of order parameter and of the structure factor in a relaxation process are studied in different regions of the phase diagram.
dc.descriptionnew title and largely revised version, to be published in Phys.Rev. E
dc.identifierhttps://arxiv.org/abs/0812.2807
dc.identifierhttp://arxiv.org/abs/0812.2807
dc.identifierPhys. Rev. E 79, 031125 (2009) [7 pages]
dc.identifierdoi:10.1103/PhysRevE.79.031125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225681
dc.subjectStatistical Mechanics
dc.titleSelf tuning phase separation in a model with competing interactions inspired by biological cell polarization
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