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arXiv · 0905.4878

Second-order dynamic transition in a p=2 spin-glass model

Kristina Van Duijvendijk·Robert L. Jack·Frédéric Van Wijland
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Abstract

We consider the dynamics of a disordered p-spin model with p=2, analyzing the dynamics within Ruelle's thermodynamic formalism, We use an indicator of the dynamical activity to construct the relevant dynamical Gibbs ensemble. We prove that the dynamics in the low-temperature (spin glass) phase of the model take place at a second-order phase transition between dynamically active and inactive trajectories. We also show that the same behaviour is found in a related model of a three-dimensional ferromagnet.

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Kristina Van Duijvendijk, Robert L. Jack, Frédéric Van Wijland. 2009-05-29. Second-order dynamic transition in a p=2 spin-glass model. https://doi.org/10.1103/physreve.81.011110

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