On the universality of jamming percolation: reply to the comment of Jeng and Schwarz

dc.creatorToninelli, Cristina
dc.creatorBiroli, Giulio
dc.creatorFisher, Daniel S.
dc.date2006-12-19
dc.date.accessioned2026-07-07T07:35:53Z
dc.date.available2026-07-07T07:35:53Z
dc.descriptionIn Phys. Rev. Lett. 96, 035702 (2006) we introduced a class of kinetically constrained models which display a dynamical glass transition. We focused on a particular example: the "knights" model. As correctly pointed out by Jeng and Schwarz cond-mat/0612484, we overlooked some additional directed frozen structures of the knights model which are not simple directed percolation (DP) paths: these "thicker" directed structures lower the critical density. Here we argue that, nevertheless, the full directed processes are in the DP universality class and the T-junctions between perpendicular segments of these give rise to a jamming percolation transition with the universal properties discussed in our previous work. Moreover, we present other models for which all our previous results, included the value of the critical density, hold rigorously.
dc.identifierhttps://arxiv.org/abs/cond-mat/0612485
dc.identifierhttp://arxiv.org/abs/cond-mat/0612485
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120246
dc.subjectStatistical Mechanics
dc.titleOn the universality of jamming percolation: reply to the comment of Jeng and Schwarz
dc.typetext

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