Full replica symmetry breaking in p-spin-glass-like systems1)
T. I. Schelkachevaa, N. M. Chtchelkatcheva,b,c,d,e 2)
aInstitute for High Pressure Physics, Russian Academy of Sciences, 142190, Troitsk, Moscow, Russia
bL.D. Landau Institute for Theoretical Physics, Russian Academy of Sciences, 142432 Chernogolovka, Russia
cUral Federal University, 620002 Ekaterinburg, Russia
dDepartment of Theoretical Physics, Moscow Institute of Physics and Technology, 141700 Moscow, Russia
eAll-Russia Research Institute of Automatics, 127055 Moscow, Russia
Abstract
It is shown that continuously changing the effective number of interacting
particles in p-spin-glass-like model allows to describe the transition from
the full replica symmetry breaking glass solution to stable first replica
symmetry breaking glass solution in the case of non-reflective symmetry
diagonal operators used instead of Ising spins. As an example, axial
quadrupole moments in place of Ising spins are considered and the
boundary value is found.