1997/10/27 by A. Fierro, Annalisa Fierro, A. de Candia +2 · 1 citation
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · Psychology · #Complex Systems and Time Series Analysis #Condensed matter physics #Critical exponent #Directed percolation #Exponential function #Ferromagnetism #Frustration #Geometrical frustration #Ising model #Ising spin #Mathematics #Percolation (cognitive psychology) #Percolation threshold #Phase transition #Physics #Potts model #Psychology #Quantum many-body systems #Quantum mechanics #Renormalization group #Spin glass #Statistical physics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.56.4990
published as Phys. Rev. E 56, 4990 (1997) · 7 pages, RevTeX, 11 figs, to appear on Physical Review E
arxiv created 1997/10/27 · openalex publication_date 1997/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the dynamical properties of the fully frustrated Ising model. Due to the absence of disorder the model, contrary to spin glass, does not exhibit any Griffiths phase, which has been associated to nonexponential relaxation dynamics. Nevertheless, we find numerically that the model exhibits a stretched exponential behavior below a temperature Tp corresponding to the percolation transition of the Kasteleyn-Fortuin clusters. We have also found that the critical behavior of these clusters for a fully frustrated q-state spin model at the percolation threshold is strongly affected by frustration. In fact while in the absence of frustration the q=1 limit gives random percolation, in the presence of frustration the critical behavior is in the same universality class of the ferromagnetic q=1/2-state Potts model.