F P Mancini and D Sherrington 2006 J. Phys. A: Math. Gen. 39 13393 doi:10.1088/0305-4470/39/43/001
F P Mancini1 and D Sherrington2
Show affiliationsWe consider the quadrupolar glass model with infinite-range random interaction. Introducing a simple one-step replica symmetry breaking ansatz we investigate the para-glass continuous (discontinuous) transition which occurs below (above) a critical value of the quadrupole dimension m*. By using a mean-field approximation we study the stability of the one-step replica symmetry breaking solution and show that for m > m* there are two transitions. The thermodynamic transition at a temperature TD is discontinuous but there is no latent heat. At a higher temperature we find the dynamical or glass transition temperature TG and the corresponding discontinuous jump qG of the order parameter.
75.10.Nr Spin-glass and other random models
75.30.Kz Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)
82D30 Random media, disordered materials (including liquid crystals and spin glasses)
Issue 43 (27 October 2006)
Received 5 July 2006, in final form 12 September 2006
Published 11 October 2006
F P Mancini and D Sherrington 2006 J. Phys. A: Math. Gen. 39 13393
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