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Non-hyperuniformity of Gibbs point processes with short-range interactions
Published online by Cambridge University Press: 02 August 2024
Abstract
We investigate the hyperuniformity of marked Gibbs point processes that have weak dependencies among distant points whilst the interactions of close points are kept arbitrary. Various stability and range assumptions are imposed 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 the Widom–Rowlinson model with random radii and Gibbs point processes with interactions based on Voronoi tessellations and nearest-neighbour graphs.
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- © The Author(s), 2024. Published by Cambridge University Press on behalf of Applied Probability Trust