Abstract
We will introduce a lattice gas model with kinetic
constraints, the Spiral Model, for which a dynamical glass transition
occurs at a finite critical density, $\rho_c$.
Above $\rho_c$ ergodicity is broken due to the discontinuous
appearance of an infinite spanning cluster of jammed particles.
Furthermore, the crossover length diverges exponentially as
$\rho_c$ is approached from below and the dynamical correlations
display a two-step relaxation.
We will explain how the mechanism at the root of this peculiar
phenomena is related to the underlying occurrence of an unconventional percolation transition.
Finally, we will discuss the common features of the
Spiral Model transition with the liquid/glass and other jamming
transitions.
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