dc.creator | Fernández, Roberto | |
dc.creator | Hollander, Frank den | |
dc.creator | Martínez Linares, Julián Facundo | |
dc.date.accessioned | 2017-06-23T19:12:36Z | |
dc.date.accessioned | 2018-11-06T15:25:43Z | |
dc.date.available | 2017-06-23T19:12:36Z | |
dc.date.available | 2018-11-06T15:25:43Z | |
dc.date.created | 2017-06-23T19:12:36Z | |
dc.date.issued | 2014-07 | |
dc.identifier | Fernández, Roberto; Hollander, Frank den; Martínez Linares, Julián Facundo; Variational Description of Gibbs-Non-Gibbs Dynamical Transitions for Spin-Flip Systems with a Kac-Type Interaction; Springer; Journal Of Statistical Physics; 156; 2; 7-2014; 203-220 | |
dc.identifier | 0022-4715 | |
dc.identifier | http://hdl.handle.net/11336/18775 | |
dc.identifier | 1572-9613 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1897019 | |
dc.description.abstract | We continue our study of Gibbs-non-Gibbs dynamical transitions. In the present paper we consider a system of Ising spins on a large discrete torus with a Kac-type interaction subject to an independent spin-flip dynamics (infinite-temperature Glauber dynamics). We show that, in accordance with the program outlined in van Enter et al. (Moscow Math. J. 10:687–711, 2010), in the thermodynamic limit Gibbs-non-Gibbs dynamical transitions are equivalent to bifurcations in the set of global minima of the large-deviation rate function for the trajectories of the empirical density conditional on their endpoint. More precisely, the time-evolved measure is non-Gibbs if and only if this set is not a singleton for some value of the endpoint. A partial description of the possible scenarios of bifurcation is given, leading to a characterization of passages from Gibbs to non-Gibbs and vice versa, with sharp transition times. Our analysis provides a conceptual step-up from our earlier work on Gibbs-non-Gibbs dynamical transitions for the Curie–Weiss model, where the mean-field interaction allowed us to focus on trajectories of the empirical magnetization rather than the empirical density. | |
dc.language | eng | |
dc.publisher | Springer | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10955-014-1004-0 | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10955-014-1004-0 | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1309.3667 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | Gibbs non Gibbs | |
dc.subject | Kac potential | |
dc.subject | Large deviations | |
dc.subject | Spin-flip dynamics | |
dc.title | Variational Description of Gibbs-Non-Gibbs Dynamical Transitions for Spin-Flip Systems with a Kac-Type Interaction | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |