Explicit generation of the branching tree of states in spin glasses
arXiv:1409.8438 · doi:10.1088/1742-5468/2015/05/P05002
Abstract
We present a numerical method to generate explicit realizations of the tree of states in mean-field spin glasses. The resulting study illuminates the physical meaning of the full replica symmetry breaking solution and provides detailed information on the structure of the spin-glass phase. A cavity approach ensures that the method is self-consistent and permits the evaluation of sophisticated observables, such as correlation functions. We include an example application to the study of finite-size effects in single-sample overlap probability distributions, a topic that has attracted considerable interest recently.
Version accepted for publication in JSTAT
References in corpus (8)
- Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model
- Diluted one-dimensional spin glasses with power law decaying interactions
- Nonequilibrium spin glass dynamics from picoseconds to 0.1 seconds
- Evidence of non-mean-field-like low-temperature behavior in the Edwards-Anderson spin-glass model
- Reconfigurable computing for Monte Carlo simulations: results and prospects of the Janus project
- The cumulative overlap distribution function in realistic spin glasses
- Low-temperature behavior of the statistics of the overlap distribution in Ising spin-glass models
- Glasses, replicas and all that