Full replica symmetry breaking in p-spin-glass-like systems

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 pc 1 ∼ = 2.5 is found.Introduction The basis of understanding glasses is the Sherrington -Kirkpatrick (SK) model [1]: the Ising model with random links. A stable solution for SK model was obtained by Parisi [2, 3] with a full replica symmetry breaking (FRSB) scheme. Later it was realised that replica symmetry is not abstract and academic question but it corresponds to formation of the specific hierarchy of basins in the energy landscape of the glass forming system.