# Understanding spin glass transition as a dynamic phenomenon - Condensed Matter > Disordered Systems and Neural Networks

Abstract: Existing theories explain spin glass transition in terms of a phasetransition and order parameters, and assume the existence of a distinct spinglass phase. In addition to problems related to clarifying the nature of thisphase, the common challenge is to explain profound dynamic effects. Here, wepropose that the main experimental results of spin glass transition can beunderstood in an entirely dynamic picture, without a reference to a distinctspin glass phase, phase transition and order parameters. In this theory, thesusceptibility cusp at the glass transition temperature is due to the dynamiccrossover between the high-temperature relaxational and low-temperature spinwave, or elastic, regime. The crossover takes place when $t=\tau$, where $t$ isobservation time and $\tau$ is relaxation time. Time-dependent effects,inconsistent with the phase transition approach, and the logarithmic increaseof $T g$ with field frequency in particular, originate as the immediateconsequence of the proposed picture. We comment on the behavior of non-linearsusceptibility. In our discussion, we explore similarities between the spin andstructural glass transitions.

Author: Kostya Trachenko

Source: https://arxiv.org/