Tag: Collective-coordinate optimization technique

“Realizable Hyperuniform and Nonhyperuniform Particle Configurations with Targeted Spectral Functions via Effective Pair Interactions” is published in Physical Review E

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Read the full paper: here Link to the jorunal: here The capacity to identify realizable many-body configurations associated with targeted functional forms for the pair correlation function \(g_2(r)\) or its corresponding structure factor \(S(k)\) is of great fundamental and practical importance. While there are obvious necessary conditions that a prescribed structure factor at number density … Continue Reading “Realizable Hyperuniform and Nonhyperuniform Particle Configurations with Targeted Spectral Functions via Effective Pair Interactions” is published in Physical Review E

“Inversion Problems for Fourier Transformation of Particle Distributions” is published in Journal of Statistical Mechanics: Theory and Experiment

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Read the full paper: here Link to the online version: here Collective coordinates in a many-particle system are complex Fourier components of the particle density \(n(\mathbf{x}) \equiv \sum_{j=1}^N \delta(\mathbf{x}-\mathbf{r}_j)\), and often provide useful physical insights. However, given collective coordinates, it is desirable to infer the particle coordinates via inverse transformations. In principle, a sufficiently large … Continue Reading “Inversion Problems for Fourier Transformation of Particle Distributions” is published in Journal of Statistical Mechanics: Theory and Experiment