Effective Interactions in Group Competition with Strategic Diffusive Dynamics

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dc.creatorAgliari, Elena
dc.creatorBarra, Adriano
dc.creatorBurioni, Raffaella
dc.creatorCamboni, Federico
dc.creatorContucci, Pierluigi
dc.date2009-05-23
dc.date.accessioned2026-07-07T13:17:47Z
dc.date.available2026-07-07T13:17:47Z
dc.descriptionWe analyze, on a random graph, a diffusive strategic dynamics with pairwise interactions, where nor Glauber prescription, neither detailed balance hold. We observe numerically that such a dynamics reaches a well defined steady state that fulfills a shift property: the critical temperature of the canonical ferromagnetic phase transition is higher with respect to the expected equilibrium one, known both numerically via Glauber relaxation or Monte Carlo simulations as well as analytically via cavity techniques or replica approaches. We show how the relaxed states of this kind of dynamics can be described by statistical mechanics equilibria of a diluted p-spin model, for a suitable non-integer real p. Several implications from both theoretical physics and quantitative sociology points of view are discussed.
dc.description13 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0905.3813
dc.identifierhttp://arxiv.org/abs/0905.3813
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231228
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleEffective Interactions in Group Competition with Strategic Diffusive Dynamics
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