Dynamics of the Structural Glass Transition and the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi></mml:math>-Spin—Interaction Spin-Glass Model

Abstract

The mathematical structure of the dynamical theory for the soft-spin version of the $p$-spin-interaction ($p&gt;2$) spin-glass model is related to that for the dynamical theories of the structural glass transition. The phase transitions predicted by both theories are discussed. The spin-glass transition predicted by the dynamical theory is related to a broken-replica-symmetry equilibrium calculation.