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Updated: Jun 5, 2026

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
Numerical simulation of free evolution in solid-state nuclear magnetic resonance using low-order correlations in
Jean-Nicolas Dumez1, Mark C Butler, Lyndon Emsley
1Université de Lyon (CNRS/ENS Lyon/UCB Lyon1), Centre de RMN à très hauts champs, 5 rue de la Doua, 69100 Villeurbanne, France.
Abstract:
The design of simulations of free evolution in dipolar-coupled nuclear-spin systems using low-order correlations in Liouville space (LCL) is discussed, and a computational scheme relying on the Suzuki-Trotter algorithm and involving minimal memory requirements is described. The unusual nature of the approximation introduced by Liouville-space reduction in a spinning solid is highlighted by considering the accuracy of LCL simulations at different spinning frequencies, the quasiequilibria achieved by spin systems in LCL simulations, and the growth of high-order coherences in the exact dynamics. In particular, it is shown that accurate LCL simulations of proton spin diffusion occur in a regime where the reduced space excludes the coherences that make the dominant contribution to ∥σ∥(2), the norm-squared of the density matrix.
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