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- W3101014750 abstract "We present a detailed physical analysis of the dynamical glass-jamming transition which occurs for the so called Knight models recently introduced and analyzed in a joint work with D.S.Fisher cite{letterTBF}. Furthermore, we review some of our previous works on Kinetically Constrained Models. The Knights models correspond to a new class of kinetically constrained models which provide the first example of finite dimensional models with an ideal glass-jamming transition. This is due to the underlying percolation transition of particles which are mutually blocked by the constraints. This jamming percolation has unconventional features: it is discontinuous (i.e. the percolating cluster is compact at the transition) and the typical size of the clusters diverges faster than any power law when $rhonearrowrho_c$. These properties give rise for Knight models to an ergodicity breaking transition at $rho_c$: at and above $rho_{c}$ a finite fraction of the system is frozen. In turn, this finite jump in the density of frozen sites leads to a two step relaxation for dynamic correlations in the unjammed phase, analogous to that of glass forming liquids. Also, due to the faster than power law divergence of the dynamical correlation length, relaxation times diverge in a way similar to the Vogel-Fulcher law." @default.
- W3101014750 created "2020-11-23" @default.
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- W3101014750 date "2006-09-06" @default.
- W3101014750 modified "2023-10-02" @default.
- W3101014750 title "Jamming Percolation and Glassy Dynamics" @default.
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- W3101014750 doi "https://doi.org/10.1007/s10955-006-9177-9" @default.
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