## Abstract (may include machine translation)

We consider two fully frustrated Ising models: the antiferromagnetic triangular model in a field of strength h = HTk_{B}, as well as the Villain model on the square lattice. After a quench from a disordered initial state to T = 0 we study the nonequilibrium dynamics of both models by Monte Carlo simulations. In a finite system of linear size, L, we define and measure sample-dependent 'first passage time', t_{r}, which is the number of Monte Carlo steps until the energy is relaxed to the ground state value. The distribution of t_{r}, in particular its mean value, 〈t _{r}(L)〉, is shown to obey the scaling relation, 〈t _{r}(L)〉∼L^{2}ln(L/L_{0}), for both models. Scaling of the autocorrelation function of the antiferromagnetic triangular model is shown to involve logarithmic corrections, both at H = 0 and at the field-induced Kosterlitz-Thouless transition: however, the autocorrelation exponent is found to be H-dependent.

Original language | English |
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Article number | P07044 |

Journal | Journal of Statistical Mechanics: Theory and Experiment |

Volume | 2009 |

Issue number | 7 |

DOIs | |

State | Published - 2009 |

Externally published | Yes |

## Keywords

- Classical Monte Carlo simulations
- Coarsening processes (theory)
- Correlation functions (theory)
- Critical exponents and amplitudes (theory)