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Landscape theory for the generalised capacitance matrix

Authors: Davies, Bryn; Lou, Yiqi;

Landscape theory for the generalised capacitance matrix

Abstract

Matlab code used to compute the capacitance matrix for a collection of spherical particles, which can have arbitrary positions in three-dimensional space. A multipole expansion is used, in terms of a basis consisting of spherical harmonics. After generating the capacitance matrix with the routine MakeC_mn.m, the eigenvectors are computed. Then, the landscape and the upper landscape, as defined in the reference [Landscape of wave localisation at low frequencies, Davies & Lou, 2023], are computed. The code can be executed by running the file RUN_example.m in Matlab, which distributes 15 unit spheres on the z=0 plane, as a demonstrative example.

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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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