arXiv subjects

Peter Gillin

Publications and source records attributed to Peter Gillin.

4 recordsLinked to original sources

arXiv2001

Multispin Ising spin glasses with ferromagnetic interactions

We consider the thermodynamics of an infinite-range Ising p-spin glass model with an additional r-spin ferromagnetic interaction. For r=2 there is a continuous transition to a ferromagnetic phase, while for r>2 the transition is first order. We find both glassy and non-glassy ferromagnetic phases, with replica symmetry breaking of both the one step and full varieties. We obtain new results for the case where r=p>2, demonstrating the existence of a non-glassy ferromagnetic phase, of significance to error-correcting codes.

cond-mat.dis-nn↗

arXiv2001

Comment on `Replica analysis of the p-spin interaction Ising spin-glass model'

We demonstrate that the analytic calculation of the 1RSB break point parameter in a paper by de Oliveira and Fontanari[1] is erroneous, due to the omission of a higher order term in a lengthy perturbative calculation, and provide a refinement of the accompanying numerical results. [1] V. M. de Oliveira and J. F. Fontanari, J. Phys. A 32, 2285 (1998)

cond-mat.dis-nn↗

arXiv2000

Comment on "Phase Diagram of the Random Energy Model with Higher-Order Ferromagnetic Term and Error Correcting Codes due to Sourlas"

In a recent Physics Review Letter, Dorlas and Wedagedera have studied the random energy model with an additional p-spin ferromagnetic interaction. Here we note that (i) we have solved the corresponding problem of a spherical spin system with p-spin glass interactions and r-spin ferromagnetic interactions, and (ii) a simple mapping yields the results of DW and generalizations. Reference: http://arXiv.org/abs/cond-mat/9912201

cond-mat.dis-nn↗

arXiv2000

p>2 spin glasses with first order ferromagnetic transitions

We consider an infinite-range spherical p-spin glass model with an additional r-spin ferromagnetic interaction, both statically using a replica analysis and dynamically via a generating functional method. For r>2 we find that there are first order transitions to ferromagnetic phases. For r =p only the replica symmetric phase exists.

cond-mat.dis-nn↗