Non-hyperuniformity of Gibbs point processes with short-range interactions

Pub Date : 2024-08-02 DOI:10.1017/jpr.2024.21
David Dereudre, Daniela Flimmel
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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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具有短程相互作用的吉布斯点过程的非超均匀性
我们研究了标记吉布斯点过程的超均匀性,这种过程在远点之间具有弱依赖性,而近点之间的相互作用保持任意。为了证明所得到的点过程不是超均匀的,我们对帕潘吉洛强度施加了各种稳定性和范围假设。我们的结果涵盖了许多常用模型,包括具有超稳定、低规则、可整对势的吉布斯点过程,以及具有随机半径的 Widom-Rowlinson 模型和具有基于 Voronoi 网格和近邻图的相互作用的吉布斯点过程。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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