483 citations · 3.9k across the 134 of their papers we have counts for
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The Nearest and Next Nearest Neighbor Sherrington-Kirkpatrick Model
D. S. Dean, F. Ritort
The mean field theory of a spin glass with a specific form of nearest and next nearest neighbor interactions is investigated. Depending on the sign of the interaction matrix chosen…
Phase transitions in the steady state behavior of mechanically perturbed spin glasses and ferromagnets
A. Lefèvre, D. S. Dean
We analyze the steady state regime of systems interpolating between spin glasses and ferromagnets under a tapping dynamics recently introduced by analogy with the dynamics of mecha…
Distribution of the Oscillation Period in the Underdamped One Dimensional Sinai Model
David S. Dean, Satya N. Majumdar
We consider the Newtonian dynamics of a massive particle in a one dimemsional random potential which is a Brownian motion in space. This is the zero temperature nondamped Sinai mod…
Dynamic spin-glass behavior in a disorder-free, two-component model of quantum frustrated magnets
Frederic Mila, David Dean
Motivated by the observation of a spin-glass transition in almost disorder-free Kagome antiferromagnets, and by the specific form of the effective low-energy model of the S=1/2, tr…
Steady State Behavior of Mechanically Perturbed Spin Glasses and Ferromagnets
David S. Dean, Alexandre Lefèvre
A zero temperature dynamics of Ising spin glasses and ferromagnets on random graphs of finite connectivity is considered, like granular media these systems have an extensive entrop…
Extreme Value Statistics of Hierarchically Correlated Variables: Deviation from Gumbel Statistics and Anomalous Persistence
D. S. Dean, Satya N. Majumdar
We study analytically the distribution of the minimum of a set of hierarchically correlated random variables , , , where represents the energy of the …