Exploring the diluted ferromagnetic p-spin model with a cavity master equation.
作者： Erik Aurell , Eduardo Domínguez , David Machado , Roberto Mulet
DOI: 10.1103/PHYSREVE.97.050103
关键词: Monte Carlo method 、 Computational complexity theory 、 Statistical physics 、 Glauber 、 Random graph 、 Computational mathematics 、 Physics 、 Master equation 、 Cavity method 、 Spin model
摘要: We introduce an alternative solution to Glauber multispin dynamics on random graphs. The is based the recently introduced cavity master equation (CME), a time-closure turning the, in principle, exact dynamic method into practical of analysis and fast simulation. Running CME once comparable computational complexity as one Monte Carlo run same problem. show that correctly models ferromagnetic p-spin from high temperatures down below spinoidal transition. also allows exploration low-temperature spin-glass phase model.
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