Slow dynamics in the 3--D gonihedric model

Details Slow dynamics in the 3--D gonihedric model Slow dynamics in the 3--D gonihedric model

2002-04-18

arxiv.org/abs/cond-mat/0204403v1

Phys.Rev. E66 (2002) 056112

Physics

Condensed Matter

13 pages, 12 figures

Scientific paper

10.1103/PhysRevE.66.056112

We study dynamical aspects of three--dimensional gonihedric spins by using Monte--Carlo methods. The interest of this family of models (parametrized by one self-avoidance parameter $\kappa$) lies in their capability to show remarkably slow dynamics and seemingly glassy behaviour below a certain temperature $T_g$ without the need of introducing disorder of any kind. We consider first a hamiltonian that takes into account only a four--spin term ($\kappa=0$), where a first order phase transition is well established. By studying the relaxation properties at low temperatures we confirm that the model exhibits two distinct regimes. For $T_g< T < T_c$, with long lived metastability and a supercooled phase, the approach to equilibrium is well described by a stretched exponential. For $T

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