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Updated: Jun 23, 2026

Experimental Methods for Investigation of Shape Memory Based Elastocaloric Cooling Processes and Model Validation
Published on: May 2, 2016
Critical scaling and aging in cooling systems near the jamming transition
1Institute of Industrial Science, University of Tokyo, Meguro-ku, Tokyo 153-8505, Japan.
Abstract:
We conduct athermal simulations of freely cooling, viscous soft spheres around the jamming transition density varphi(J) and find evidence for a growing length xi(t) that governs relaxation to mechanical equilibrium. xi(t) is manifest in both the velocity correlation function and the spatial correlations in a scalar measure of local force balance which we define. Data for different densities varphi can be collapsed onto two master curves by scaling xi(t) and t by powers of |varphi-varphi(J)|, indicative of critical scaling. Furthermore, particle transport for varphi>varphi(J) exhibits aging and superdiffusion similar to a range of soft matter experiments, suggesting a common origin. Finally, we explain how xi(t) at late times maps onto known behavior away from varphi(J).
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