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Analysis

This paper investigates the temperature-driven nonaffine rearrangements in amorphous solids, a crucial area for understanding the behavior of glassy materials. The key finding is the characterization of nonaffine length scales, which quantify the spatial extent of local rearrangements. The comparison of these length scales with van Hove length scales provides valuable insights into the nature of deformation in these materials. The study's systematic approach across a wide thermodynamic range strengthens its impact.
Reference

The key finding is that the van Hove length scale consistently exceeds the filtered nonaffine length scale, i.e. ξVH > ξNA, across all temperatures, state points, and densities we studied.

Optimizing Site Order in DMRG for Improved Accuracy

Published:Dec 26, 2025 12:59
1 min read
ArXiv

Analysis

This paper addresses a crucial aspect of DMRG, a powerful method for simulating quantum systems: the impact of site ordering on accuracy. By introducing and improving an algorithm for optimizing site order through local rearrangements, the authors demonstrate significant improvements in ground-state energy calculations, particularly by expanding the rearrangement range. This work is important because it offers a practical way to enhance the performance of DMRG, making it more reliable for complex quantum simulations.
Reference

Increasing the rearrangement range from two to three sites reduces the average relative error in the ground-state energy by 65% to 94% in the cases we tested.