Kristina Van Duijvendijk, Robert L. Jack, Frédéric Van Wijland
Published 2009-05-29Version 1
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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An inference problem in a mismatched setting as a spin-glass model with Mattis interaction
Comment on ``Spherical 2 + p spin-glass model: An analytically solvable model with a glass-to-glass transition''
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