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Title: Potts fully frustrated model: Thermodynamics, percolation and dynamics in two dimensions
Author: Franzese, Giancarlo
Keywords: Equacions d'estat
Transformacions de fase (Física estadística)
Percolació (Física estadística)
Equations of state
Phase transformations (Statistical physics)
Percolation (Statistical physics)
Issue Date: 2000
Publisher: The American Physical Society
Abstract: We consider a Potts model diluted by fully frustrated Ising spins. The model corresponds to a fully frustrated Potts model with variables having an integer absolute value and a sign. This model presents precursor phenomena of a glass transition in the high-temperature region. We show that the onset of these phenomena can be related to a thermodynamic transition. Furthermore, this transition can be mapped onto a percolation transition. We numerically study the phase diagram in two dimensions (2D) for this model with frustration and without disorder and we compare it to the phase diagram of (i) the model with frustration and disorder and (ii) the ferromagnetic model. Introducing a parameter that connects the three models, we generalize the exact expression of the ferromagnetic Potts transition temperature in 2D to the other cases. Finally, we estimate the dynamic critical exponents related to the Potts order parameter and to the energy.
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It is part of: Physical Review e, 2000, vol. 61, núm. 6, p. 6383-6390
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ISSN: 1063-651X
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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