Spin glasses are disordered magnetic systems that have led to the development of
mathematical tools with an array of real-world applications, from airline scheduling to neural …

We describe Janus, a massively parallel FPGA-based computer optimized for the simulation
of spin glasses, theoretical models for the behavior of glassy materials. FPGAs (as …

We study numerically the nonequilibrium dynamics of the Ising spin glass, for a time
spanning 11 orders of magnitude, thus approaching the experimentally relevant scale (ie …

Using the special-purpose computer Janus, we follow the nonequilibrium dynamics of the
Ising spin glass in three dimensions for eleven orders of magnitude. The use of integral …

We introduce a diluted version of the one-dimensional spin-glass model with interactions
decaying in probability as an inverse power of the distance. In this model, varying the power …

We present a massive equilibrium simulation of the three-dimensional Ising spin glass at low
temperatures. The Janus special-purpose computer has allowed us to equilibrate, using …

While the analysis of mean-field spin glass models has seen tremendous progress in the
last twenty years, lattice spin glasses have remained largely intractable. This article presents …

Parallel tempering, also known as replica exchange Monte Carlo, is studied in the context of
two simple free-energy landscapes. The first is a double-well potential defined by two …

Presenting and developing the theory of spin glasses as a prototype for complex systems,
this book is a rigorous and up-to-date introduction to their properties. The book combines a …

We present results from Monte Carlo simulations to test for ultrametricity and clustering
properties in spin-glass models. By using a one-dimensional Ising spin glass with random …