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Giampaolo Folena

As seen in: Physical Review B
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Articles by Giampaolo Folena

Glasslike caging with random planes

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By Gilles Bonnet Verified, Patrick Charbonneau, Giampaolo Folena
| Physical Review B
The richness of the mean-field solution of simple glasses leaves many of its features challenging to interpret. A minimal model that illuminates glass physics in the same way that the random energy model clarifies spin glass behavior would therefore be beneficial. Here we propose such a real-space model that is amenable to infinite-dimensional d→∞ analysis and is exactly solvable in finite d in some regimes.
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Rethinking Mean-Field Glassy Dynamics and Its Relation with the Energy Landscape: The Surprising Case of the Spherical Mixed $p$-Spin Model

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By Dipartimento di Fisica, Giampaolo Folena, Università “La Sapienza”
| Physical Review B
Abstract The spherical p-spin model is a fundamental model in statistical mechanics of a disordered system with a random first-order transition. The dynamics of this model is interesting both for the physics of glasses and for its implications on hard optimization problems. Here, we revisit the out-of-equilibrium dynamics of the spherical mixed p-spin model, which differs from the pure p-spin model by the fact that the Hamiltonian is not a homogeneous function of its variables.
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