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Particle tracking is commonly used to study time-dependent behavior in many different types of physical and chemical systems involving constituents that span many length scales, including atoms, molecules, nanoparticles, granular particles,…

Computational Physics · Physics 2024-08-06 Brandon L. Butler , Domagoj Fijan , Sharon C. Glotzer

Dynamical behavior of the clusters during relaxation is studied in two-dimensional Potts model using cluster algorithm. Average cluster size and cluster formation velocity are calculated on two different lattice sizes for different number…

High Energy Physics - Lattice · Physics 2015-06-25 Yigit Gunduc , Meral Aydin

We observed a phase transition-like behavior that is marked by the onset of the realization of the connectivity between two sites on a two-dimensional cross-section of a three-dimensional percolation cluster. This was found using…

Disordered Systems and Neural Networks · Physics 2009-11-07 Nira Shimoni , Doron Azulai , Isaac Balberg , Oded Millo

A cluster expansion is proposed, that applies to both continuous and discrete systems. The assumption for its convergence involves an extension of the neat Kotecky-Preiss criterion. Expressions and estimates for correlation functions are…

Mathematical Physics · Physics 2007-05-23 Daniel Ueltschi

The evolution, regulation and sustenance of biological complexity is determined by protein-protein interaction network that is filled with dynamic events. Recent experimental evidences point out that clustering of proteins has a vital role…

Tissues and Organs · Quantitative Biology 2007-05-23 RV Krishnan

Spatial cluster analysis, the detection of localized patterns of similarity in geospatial data, has a wide-range of applications for scientific discovery and practical decision making. One way to detect spatial clusters is by using local…

Human-Computer Interaction · Computer Science 2024-04-10 Lee Mason , Blánaid Hicks , Jonas S. Almeida

Star cluster formation in giant molecular clouds involves the local collapse of the cloud into small gas-rich subclusters, which can then subsequently collide and merge to build up the final star cluster(s). In this paper, we simulate…

Astrophysics of Galaxies · Physics 2022-05-25 Jeremy Karam , Alison Sills

We investigated the viscoelastic response of model interphase chromosomes by tracking the three-dimensional motion of hundreds of dispersed Brownian particles of sizes ranging from the thickness of the chromatin fiber up to slightly above…

Biomolecules · Quantitative Biology 2015-01-06 Manon Valet , Angelo Rosa

Galaxy clusters are the largest gravitationally bound systems, and they continue their growth through mergers in a hierarchical {\Lambda}CDM Universe. Therefore, we can describe the merger stage of a cluster as the dynamical state of…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-12 Hyowon Kim , Marco Canducci , Rory Smith , Peter Tino , Yara Jaffe , Ho Seong Hwang , Jihye Shin , Kyungwon Chun

Closure modeling - the statistical modeling of missing dynamics in the natural sciences and engineering - is a growing and active area of research. Existing methods for closure modeling are often computationally prohibitive, lack…

Methodology · Statistics 2025-11-27 Eric Crislip , Mohammad Khalil , Teresa Portone , Oksana Chkrebtii , Kyle Neal

Using the APM cluster data we investigate whether the dynamical status of clusters is related to the large-scale structure of the Universe. We find that cluster substructure is strongly correlated with the tendency of clusters to be aligned…

Astrophysics · Physics 2009-11-06 Manolis Plionis

We present a new reduced-order computational method for the molecular dynamics simulation of entangled polymer systems. The polymer chains are modeled as continuous Gaussian chains. Our algorithm is based on the application of the molecular…

Soft Condensed Matter · Physics 2020-09-02 Aruna Mohan , GH Fredrickson

We present a methodology for simulating dilute suspensions of particles settling under gravity, with the main purpose of overcoming limitations of triply periodic configurations, mainly the strong vertical correlation that hinders the study…

Fluid Dynamics · Physics 2026-04-24 M. Moriche , M. García-Villalba , M. Uhlmann

Thermal comfort is essential for well-being in urban spaces, especially as cities face increasing heat from urbanization and climate change. Existing thermal comfort models usually overlook temporal dynamics alongside spatial dependencies.…

Applications · Statistics 2024-11-19 Federico P. Cortese , Antonio Pievatolo

Merging galaxy clusters may provide a unique window into the behavior of dark matter and the evolution of member galaxies. To interpret these natural collider experiments we must account for how much time has passed since pericenter passage…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-04 David Wittman

During the past two decades, methods for identifying groups with different trends in longitudinal data have become of increasing interest across many areas of research. To support researchers, we summarize the guidance from the literature…

Methodology · Statistics 2021-11-11 Niek Den Teuling , Steffen Pauws , Edwin van den Heuvel

We study the collective behaviour of an ensemble of coupled motile elements whose interactions depend on time and are alternatively attractive or repulsive. The evolution of interactions is driven by individual internal variables with…

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

Active polymers are ubiquitous in nature, and often kicked by persistent noises that break detailed balance. In order to capture the out-of-equilibrium dynamics of such active polymers, we propose a simple yet reliable analytical framework…

Soft Condensed Matter · Physics 2026-03-10 Takahiro Sakaue , Enrico Carlon

Statistical node clustering in discrete time dynamic networks is an emerging field that raises many challenges. Here, we explore statistical properties and frequentist inference in a model that combines a stochastic block model (SBM) for…

Methodology · Statistics 2016-06-23 Catherine Matias , Vincent Miele

We perform high resolution simulations of forming star clusters as they merge inside giant molecular clouds (GMCs) using hydrodynamics coupled to N-body dynamics to simultaneously model both the gas and stars. We zoom in to previously run…

Astrophysics of Galaxies · Physics 2024-04-11 Jeremy Karam , Alison Sills