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


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Abstract

It is shown that continuously changing the effective number of interacting particles in p-spin-glass-like model allows describing 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 \({p_{{c_1}}} \cong 2.5\) is found.

About the authors

T. I. Schelkacheva

Institute for High Pressure Physics

Email: nms@itp.ac.ru
Russian Federation, Troitsk, Moscow, 142190

N. M. Chtchelkatchev

Institute for High Pressure Physics; Landau Institute for Theoretical Physics; Ural Federal University; Department of Theoretical Physics; All-Russia Research Institute of Automatics

Author for correspondence.
Email: nms@itp.ac.ru
Russian Federation, Troitsk, Moscow, 142190; Chernogolovka, Moscow region, 142432; Yekaterinburg, 620002; Dolgoprudnyi, Moscow region, 141700; Moscow, 127055

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