Fractal geometry of Ising magnetic patterns: signatures of criticality and diffusive dynamics

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dc.creatorAgliari, E.
dc.creatorBurioni, R.
dc.creatorCassi, D.
dc.creatorVezzani, A.
dc.date2008-10-01
dc.date.accessioned2026-07-07T10:06:43Z
dc.date.available2026-07-07T10:06:43Z
dc.descriptionWe investigate the geometric properties displayed by the magnetic patterns developing on a two-dimensional Ising system, when a diffusive thermal dynamics is adopted. Such a dynamics is generated by a random walker which diffuses throughout the sites of the lattice, updating the relevant spins. Since the walker is biased towards borders between clusters, the border-sites are more likely to be updated with respect to a non-diffusive dynamics and therefore, we expect the spin configurations to be affected. In particular, by means of the box-counting technique, we measure the fractal dimension of magnetic patterns emerging on the lattice, as the temperature is varied. Interestingly, our results provide a geometric signature of the phase transition and they also highlight some non-trivial, quantitative differences between the behaviors pertaining to the diffusive and non-diffusive dynamics.
dc.identifierhttps://arxiv.org/abs/0810.0216
dc.identifierhttp://arxiv.org/abs/0810.0216
dc.identifierThe European Physical Journal B 49 1 (2006) 119-125
dc.identifierdoi:10.1140/epjb/e2006-00025-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170421
dc.subjectStatistical Mechanics
dc.titleFractal geometry of Ising magnetic patterns: signatures of criticality and diffusive dynamics
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