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Despite major advances in the understanding of the formation and dynamics of nano-clusters in the past decades, theoretical bases for the control of their shape are still lacking. We investigate strategies for driving fluctuating…

Statistical Mechanics · Physics 2022-07-13 Francesco Boccardo , Olivier Pierre-Louis

Groups of cells, including clusters of cancerous cells, multicellular organisms, and developing organs, may both grow and break apart. What physical factors control these fractures? In these processes, what sets the eventual size of…

Biological Physics · Physics 2026-04-03 Wei Wang , Brian A. Camley

We study equilibrium configurations of infinitely many identical particles on the real line or finitely many particles on the circle, such that the (repelling) force they exert on each other depends only on their distance. The main question…

Classical Analysis and ODEs · Mathematics 2016-04-11 Agelos Georgakopoulos , Mihail N. Kolountzakis

The lowest adiabatic potential expressed in hyperspherical coordinates is estimated for two boson systems in an external harmonic trap. Corresponding conditions for stability are investigated and the related structures are extracted for…

Other Condensed Matter · Physics 2016-08-31 T. Sogo , O. Sørensen , A. S. Jensen , D. V. Fedorov

We discuss an algebraic treatment of four-body clusters which includes both continuous and discrete symmetries. In particular, tetrahedral configurations with T(d) symmetry are analyzed with respect to the energy spectrum, transition form…

Nuclear Theory · Physics 2017-11-02 R. Bijker , F. Iachello

We locate putative global minima for (C_60)_N clusters modelled by the potential of Pacheco and Prates-Ramalho up to N=105. These minima are based on icosahedral packing up to N=15, but above this size the lowest-energy structures are…

Condensed Matter · Physics 2007-05-23 Jonathan P. K. Doye , David J. Wales , Wolfgang Branz , Florent Calvo

Multi-component aggregates are being intensively researched in various fields because of their highly tunable properties and wide applications. Due to the complex configurational space of these systems, research would greatly benefit from a…

Atomic and Molecular Clusters · Physics 2025-02-26 Nicolò Canestrari , Diana Nelli , Riccardo Ferrando

Particle systems interacting with a soft repulsion, at thermal equilibrium and under some circumstances, are known to form cluster crystals, i.e. periodic arrangements of particle aggregates. We study here how these states are modified by…

Statistical Mechanics · Physics 2018-11-28 Lorenzo Caprini , Emilio Hernandez-Garcia , Cristobal Lopez

We model the stabilization of clusters and lattices of cuboidal particles with long-ranged magnetic dipolar and short-ranged surface interactions. Two realistic systems were considered: one with magnetization orientated in the [001]…

Soft Condensed Matter · Physics 2020-09-09 Igor Stankovic , Luis Lizardi , Carlos Garcia

The clustering of a data set is one of the core tasks in data analytics. Many clustering algorithms exhibit a strong contrast between a favorable performance in practice and bad theoretical worst-cases. Prime examples are least-squares…

Optimization and Control · Mathematics 2018-09-05 S. Borgwardt , F. Happach

Understanding polymorph selection in atomic and molecular systems and its control through thermodynamic conditions and external factors (such as seed characteristics) is fundamental to the design of targeted materials and holds great…

Soft Condensed Matter · Physics 2025-06-18 Abhilasha Kumari , Gadha Ramesh , Debasish Koner , Rakesh S. Singh , Mantu Santra

Structural organization and correlations are studied in very large packings of equally sized acrylic spheres, reconstructed in three-dimensions by means of X-ray computed tomography. A novel technique, devised to analyze correlations among…

Soft Condensed Matter · Physics 2007-09-19 Tomaso Aste

We study the stability, the clustering and the phase-diagram of free cooling granular gases. The systems consist of mono-disperse particles with additional non-contact (long-range) interactions, and are simulated here by the event-driven…

Soft Condensed Matter · Physics 2015-06-22 S. Gonzalez , A. R. Thornton , S. Luding

Star clusters - open and globulars - experience dynamical evolution on time scales shorter than their age. Consequently, open and globular clusters provide us with unique dynamical laboratories for learning about two-body relaxation, mass…

Astrophysics · Physics 2007-05-23 Georges Meylan

Correlations among the independently measured physical properties of globular clusters (GCs) can provide powerful tests for theoretical models and new insights into their dynamics, formation, and evolution. We review briefly some of the…

It is shown that the rotational band structure of the cluster states in 12C and 16O can be understood in terms of the underlying discrete symmetry that characterizes the geometrical configuration of the alpha-particles, i.e. an equilateral…

Nuclear Theory · Physics 2019-10-02 Roelof Bijker

The steady state reached by a system of particles sliding down a fluctuating surface has interesting properties. Particle clusters form and break rapidly, leading to a broad distribution of sizes and large fluctuations. The density-density…

Statistical Mechanics · Physics 2015-05-13 Apoorva Nagar , Mustansir Barma

Stochasticity of bright stars introduces uncertainty and bias into derived structural parameters of star clusters. We have simulated a grid of cluster $V$-band images, observed with Subaru Suprime-Cam with age, mass, and size representing a…

Astrophysics of Galaxies · Physics 2018-03-14 D. Narbutis , R. Stonkutė , P. de Meulenaer , T. Mineikis , V. Vansevičius

Non-equilibrium cluster-cluster aggregation of particles diffusing in or at the cell membrane has been hypothesized to lead to domains of finite size in different biological contexts such as lipid rafts, cell adhesion complexes, or…

Soft Condensed Matter · Physics 2023-08-30 Renaud Baillou , Jonas Ranft

The nuclear-matter liquid-gas phase transition induces instabilities against finite-size density fluctuations. This has implications for both heavy-ion-collision and compact-star physics. In this paper, we study the clusterization…

Nuclear Theory · Physics 2008-11-26 C. Ducoin , J. Margueron , Ph. Chomaz