Hamiltonian dynamics of the two-dimensional lattice phi^4 model

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dc.creatorCaiani, Lando
dc.creatorCasetti, Lapo
dc.creatorPettini, Marco
dc.date1998-04-21
dc.date.accessioned2026-07-07T10:51:42Z
dc.date.available2026-07-07T10:51:42Z
dc.descriptionThe Hamiltonian dynamics of the classical $ϕ^4$ model on a two-dimensional square lattice is investigated by means of numerical simulations. The macroscopic observables are computed as time averages. The results clearly reveal the presence of the continuous phase transition at a finite energy density and are consistent both qualitatively and quantitatively with the predictions of equilibrium statistical mechanics. The Hamiltonian microscopic dynamics also exhibits critical slowing down close to the transition. Moreover, the relationship between chaos and the phase transition is considered, and interpreted in the light of a geometrization of dynamics.
dc.descriptionREVTeX, 24 pages with 20 PostScript figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9804227
dc.identifierhttp://arxiv.org/abs/cond-mat/9804227
dc.identifierJ.Phys.A31:3357-3382,1998
dc.identifierdoi:10.1088/0305-4470/31/15/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184909
dc.subjectStatistical Mechanics
dc.titleHamiltonian dynamics of the two-dimensional lattice phi^4 model
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