467 citations · 527 across the 5 of their papers we have counts for
5 papers
A model for discussing entropy and time reversibility
Tommaso Castellani
In this article we discuss a model used to introduce the concept of entropy with secondary school students. It can be used to discuss with students the reversibility of time, the t…
Off-equilibrium confined dynamics in a glassy system with level-crossing states
Barbara Capone, Tommaso Castellani, Irene Giardina +1
We study analytically the dynamics of a generalized p-spin model, starting with a thermalized initial condition. The model presents birth and death of states, hence the dynamics (e…
Spin-Glass Theory for Pedestrians
Tommaso Castellani, Andrea Cavagna
In these notes the main theoretical concepts and techniques in the field of mean-field spin-glasses are reviewed in a compact and pedagogical way, for the benefit of the graduate a…
Spin glass models with ferromagnetically biased couplings on the Bethe lattice: analytic solutions and numerical simulations
Tommaso Castellani, Florent Krzakala, Federico Ricci-Tersenghi
We derive the zero-temperature phase diagram of spin glass models with a generic fraction of ferromagnetic interactions on the Bethe lattice. We use the cavity method at the level…
Bicoloring Random Hypergraphs
Tommaso Castellani, Vincenzo Napolano, Federico Ricci-Tersenghi +1
We study the problem of bicoloring random hypergraphs, both numerically and analytically. We apply the zero-temperature cavity method to find analytical results for the phase trans…