✍ Scribed by Zhiming Li; Angela Borrmann; Craig C. Martens
No coin nor oath required. For personal study only.
A novel application of wavelet analysis to the characterization of many-body dynamics is described. In this approach, the velocities of particles in a molecular dynamics simulation are decomposed into contributions from a hierarchy of time scales. A scale spectrum is defined, in analogy with conventional spectral densities, which gives the effective average "temperature" of the resulting scales of motion. The method is applied to simulations of solid and liquid argon, and the signatures of liquid-solid phase transition in the results of the wavelet analysis are investigated.
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