Scaling of Relaxation and Entropy in Buckled Colloidal Monolayers.

The excess entropy scaling law is an empirical yet powerful structure-dynamics relationship for liquids and glasses. Here, we report the first experimental study that extends this entropy scaling concept to spin lattices, a fundamentally different class of disordered matter. We employ an in situ controlled buckled colloidal monolayer, which serves as a classical two-dimensional Ising lattice. Across isotropic compression, shear, and attraction-tuning experiments, the data reveal an exponential relationship, τ_{α}∝exp(cS_{em}), between the spin relaxation time τ_{α} and eigenmicrostate entropy S_{em}, both derived from effective spin configurations. The control protocol dependent factor c reflects the distinct ordering mechanisms and thermodynamic routes associated with each control experiment. This Letter identifies an entropy scaling framework for predicting dynamical properties of spin models using their spin configurations.