AI Article Synopsis
- The study focuses on the diluted Ising ferromagnet using the cavity method to better understand Griffiths-McCoy singularities on the Bethe lattice.
- At infinite coupling, researchers computed the density of Lee-Yang zeros in the paramagnetic Griffiths region and analyzed the phase transition to the ferromagnetic state.
- The phase transition identified has Griffiths-McCoy characteristics, featuring a power law distribution of cluster sizes.
Article Abstract
We study the diluted Ising ferromagnet on the Bethe lattice as a case study for the application of the cavity method to problems with Griffiths-McCoy singularities. Specifically, we are able to make much progress at infinite coupling where we compute, from the cavity method, the density of Lee-Yang zeros in the paramagnetic Griffiths region as well as the properties of the phase transition to the ferromagnet. This phase transition is itself of a Griffiths-McCoy character albeit with a power law distribution of cluster sizes.
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| http://dx.doi.org/10.1103/PhysRevE.77.061139 | DOI Listing |
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