Classifying minimum energy states for interacting particles: regular simplices (Q2699068)

scientific article; zbMATH DE number 7678855

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English	Classifying minimum energy states for interacting particles: regular simplices	scientific article; zbMATH DE number 7678855

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instance of

scholarly article

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title

Classifying minimum energy states for interacting particles: regular simplices (English)

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Communications in Mathematical Physics

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publication date

26 April 2023

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full work available at URL

https://arxiv.org/abs/2109.07091

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zbMATH Keywords

attractive-repulsive power-law potential

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MaRDI profile type

Publication

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cites work

Stability Analysis of Flock and Mill Rings for Second Order Models in Swarming

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Nonlocal interactions by repulsive-attractive potentials: radial ins/stability

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Dimensionality of local minimizers of the interaction energy

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Ring patterns and their bifurcations in a nonlocal model of biological swarms

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On the strong attraction limit for a class of nonlocal interaction energies

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Reverse Hardy-Littlewood-Sobolev inequalities

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Geometry of minimizers for the interaction energy with mildly repulsive potentials

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Explicit equilibrium solutions for the aggregation equation with power-law potentials

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The ellipse law: Kirchhoff meets dislocations

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On minimizers of interaction functionals with competing attractive and repulsive potentials

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A walk through energy, discrepancy, numerical integration and group invariant measures on measurable subsets of Euclidean space

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Energy functionals, numerical integration and asymptotic equidistribution on the sphere.

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Energies, group-invariant kernels and numerical integration on compact manifolds

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On point energies, separation radius and mesh norm for s-extremal configurations on compact sets in \(\mathbb R^n\)

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Classifying Minimum Energy States for Interacting Particles: Spherical Shells

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Equilibria of biological aggregations with nonlocal repulsive-attractive interactions

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Swarm dynamics and equilibria for a nonlocal aggregation model

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Minimizers for a one-dimensional interaction energy

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Proof of spherical flocking based on quantitative rearrangement inequalities

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Formation of clumps and patches in self-aggregation of finite-size particles

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Uniqueness and characterization of local minimizers for the interaction energy with mildly repulsive potentials

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Cardinality estimation of support of the global minimizer for the interaction energy with mildly repulsive potentials

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Initiation of slime mold aggregation viewed as an instability

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Uniqueness and radial symmetry of minimizers for a nonlocal variational problem

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Geometrical Bounds for Variance and Recentered Moments

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Isodiametry, variance, and regular simplices from particle interactions

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Maximizing expected powers of the angle between pairs of points in projective space

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Q5480353

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Random walk with persistence and external bias

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Stability and clustering of self-similar solutions of aggregation equations

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Q4805362

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Predicting pattern formation in particle interactions

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Identifiers

Mathematics Subject Classification ID

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10.1007/S00220-022-04564-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:2699068