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We offer a solution to a long-standing problem in the physics of networks, the creation of a plausible, solvable model of a network that displays clustering or transitivity -- the propensity for two neighbors of a network node also to be…

Statistical Mechanics · Physics 2009-08-13 M. E. J. Newman

We demonstrate particle clustering on macroscopic scales in a coupled nonequilibrium system where two species of particles are advected by a fluctuating landscape and modify the landscape in the process. The phase diagram generated by…

Statistical Mechanics · Physics 2016-05-24 Shauri Chakraborty , Sukla Pal , Sakuntala Chatterjee , Mustansir Barma

We present a novel probabilistic clustering model for objects that are represented via pairwise distances and observed at different time points. The proposed method utilizes the information given by adjacent time points to find the…

Machine Learning · Computer Science 2015-04-16 Julia E. Vogt , Marius Kloft , Stefan Stark , Sudhir S. Raman , Sandhya Prabhakaran , Volker Roth , Gunnar Rätsch

The open quantum system eigenstate in the vicinity of low-energy decay channel may mimic its features, in particular the characteristic clustering properties of the decay channel. This generic mechanism of clusterization, the so-called…

Nuclear Theory · Physics 2024-11-08 J. P. Linares Fernandez , N. Michel , M. Płoszajczak

A cluster theory based mathematical model was developed and used to simulate the dynamics of a system composed of a large number of interacting agents-clusters with different size. The case of a system formed by a constant total number of…

Physics and Society · Physics 2007-05-23 Vitalie Eremeev , Ion Rasca , Florentin Paladi

Observations have revealed that most stars are born in clusters. These systems, containing from tens to thousands of stars and typically significant mass in gas in the youngest systems, evolve due to a combination of stellar and star-gas…

Astrophysics · Physics 2007-05-23 Ian A. Bonnell

It is well known that bees cluster together in cold weather, in the process of swarming (when the ``old'' queen leaves with part of the colony) or absconding (when the queen leaves with all the colony) and in defense against intruders such…

Biological Physics · Physics 2011-12-26 Zhengwei Wang , Lei Wang , Ken Tan , Zengru Di , Bertrand M. Roehner

We analyze a simple model for growing tree networks and find that although it never percolates, there is an anomalously large cluster at finite size. We study the growth of both the maximal cluster and the cluster containing the original…

Statistical Mechanics · Physics 2007-05-23 David Lancaster

A review is given on the studies of formation of light clusters and heavier fragments in heavy-ion collisions at incident energies from several tens of MeV/nucleon to several hundred MeV/nucleon, focusing on dynamical aspects and on…

Nuclear Theory · Physics 2019-03-05 Akira Ono

The emergence of order in collective dynamics is a fascinating phenomenon that characterizes many natural systems consisting of coupled entities. Synchronization is such an example where individuals, usually represented by either linear or…

Adaptation and Self-Organizing Systems · Physics 2022-01-26 Malbor Asllani , Bram A. Siebert , Alex Arenas , James P. Gleeson

Universality in the behavior of complex systems often reveals itself in the form of scale-invariant distributions that are essentially independent of the details of the microscopic dynamics. A representative paradigm of complex behavior in…

Statistical Mechanics · Physics 2007-05-23 G. Malescio , N. V. Dokholyan , S. V. Buldyrev , H. Eugene Stanley

Perturbing fluids of neutrons and protons (nuclear matter) may lead, as the most catastrophic effect, to the rearrangement of the fluid into clusters of nucleons. A similar process may occur in a single atomic nucleus undergoing a violent…

Nuclear Theory · Physics 2018-05-23 P. Napolitani , M. Colonna , C. Mancini-Terracciano

We study conserved one-dimensional models of particle diffusion, attachment and detachment from clusters, where the detachment rates decrease with increasing cluster size as gamma(m) ~ m^{-k}, k>0. Heuristic scaling arguments based on…

Statistical Mechanics · Physics 2009-11-13 F. D. A. Aarao Reis , R. B. Stinchcombe

Collective behaviour is a widespread phenomenon in biology, cutting through a huge span of scales, from cell colonies up to bird flocks and fish schools. The most prominent trait of collective behaviour is the emergence of global order:…

Statistical Mechanics · Physics 2015-06-16 A. Attanasi , A. Cavagna , L. Del Castello , I. Giardina , S. Melillo , L. Parisi , O. Pohl , B. Rossaro , E. Shen , E. Silvestri , M. Viale

In a series of three papers, we introduced a novel cluster formation model that describes the formation, growth, and disruption of star clusters in high-resolution cosmological simulations. We tested this model on a Milky Way-sized galaxy…

Astrophysics of Galaxies · Physics 2020-03-18 Hui Li , Oleg Gnedin

Recent studies aimed at investigating artificial analogs of bacterial colonies have shown that low-density suspensions of self-propelled particles confined in two dimensions can assemble into finite aggregates that merge and split, but have…

Soft Condensed Matter · Physics 2015-06-17 B. M. Mognetti , A. Šarić , S. Angioletti-Uberti , A. Cacciuto , C. Valeriani , D. Frenkel

One way of getting a better view of data is using frequent patterns. In this paper frequent patterns are subsets that occur a minimal number of times in a stream of itemsets. However, the discovery of frequent patterns in streams has always…

Artificial Intelligence · Computer Science 2007-05-23 Edgar H. de Graaf , Joost N. Kok , Walter A. Kosters

We consider an ensemble of coupled oscillators whose individual states, in addition to the phase, are characterized by an internal variable with autonomous evolution. The time scale of this evolution is different for each oscillator, so…

Statistical Mechanics · Physics 2009-11-10 Damian H. Zanette , Alexander S. Mikhailov

Dissipation in granular media leads to interesting phenomena as there are cluster formation and crystallization in non-equilibrium dynamical states. The freely cooling system is examined concerning the energy decay and the cluster evolution…

Statistical Mechanics · Physics 2009-11-10 S. Miller , S. Luding

Community assembly is studied using individual-based multispecies models. The models have stochastic population dynamics with mutation, migration, and extinction of species. Mutants appear as a result of mutation of the resident species,…

Populations and Evolution · Quantitative Biology 2010-05-18 Yohsuke Murase , Takashi Shimada , Nobuyasu Ito , Per Arne Rikvold