Non-hyperuniformity of Gibbs point processes with short range interaction

David Dereudre; Daniela Flimmel

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arXiv · 2306.17276

Non-hyperuniformity of Gibbs point processes with short range interaction

David Dereudre·Daniela Flimmel

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Abstract

We investigate the hyperuniformity of marked Gibbs point processes with weak dependencies among distant points whilst the interactions of close points are kept arbitrary. Some variants of stability and range assumptions are posed on the Papangelou intensity in order to prove that the resulting point process is not hyperuniform. The scope of our results covers many frequently used models including Gibbs point processes with a superstable, lower-regular, integrable pair potential as well as Widom--Rowlinson model with random radii or Gibbs point processes with interactions based on Voronoi tessellation and nearest neighbour graph.

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David Dereudre, Daniela Flimmel. 2023-06-29. Non-hyperuniformity of Gibbs point processes with short range interaction. https://arxiv.org/abs/2306.17276

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