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

Reference:

van Duijvendijk, K., Jack, R. L. and van Wijland, F., 2010. Second-order dynamic transition in a p=2 spin-glass model. Physical Review E, 81 (1).

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Official URL:

http://dx.doi.org/10.1103/PhysRevE.81.011110

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 behavior is found in a related model of a three-dimensional ferromagnet.

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