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Our theoretical understanding of glassy dynamics is notoriously incomplete,and it is even more so when the glassy systems are driven out of equilibrium.An extreme way to drive a system out of equilibrium is to introducenonequilibrium dynamics at the microscopic level, e.g., through active forcingof the constituent particles or by having nonreciprocal interactions among theparticles. While glassy dynamics under active forcing has been studied by many,the latter nonequilibrium scenario has received little attention. Here, I studythe glassy dynamics of the spherical $p$-spin model for $p\geq 3$ withantisymmetric interactions, which generalizes reciprocal interactions in 2-bodyinteractions. The spherical $p$-spin model is an integral tool in the study ofdynamical glass transition, and when antisymmetric interactions are added, Ishow analytically and numerically that glassy behavior is genericallysuppressed. Moreover, I obtain analytical expressions on the modified dynamicalglass transition point and the Edward-Anderson parameter (i.e., the asymptoticplateau height value of the spin-spin correlation function) in the smalldriving limit.

Nonequilibrium glass transitions in the spherical $p$-spin model with antisymmetric interactions