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Diffusion of a two component fluid is studied in the framework of differential equations, but where these equations are systematically derived from a well-defined microscopic model. The model has a finite carrying capacity imposed upon it…

Statistical Mechanics · Physics 2015-06-04 D. Fanelli , A. J. McKane , G. Pompili , B. Tiribilli , M. Vassalli , T. Biancalani

Droplet-fiber interactions, prevalent in nature and widely applied across various engineering fields, have garnered significant research interest. Many works have focused on the interactions between droplets and single or two fibers.…

Fluid Dynamics · Physics 2025-05-29 Yi Zhang , Zhao Pan

The advent of experimental science facilities-instruments and observatories, such as the Large Hadron Collider, the Laser Interferometer Gravitational Wave Observatory, and the upcoming Large Synoptic Survey Telescope-has brought about…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-12 E. A. Huerta , Roland Haas , Shantenu Jha , Mark Neubauer , Daniel S. Katz

Combining data has become an indispensable tool for managing the current diversity and abundance of data. But, as data complexity and data volume swell, the computational demands of previously proposed models for combining data escalate…

Methodology · Statistics 2024-06-13 Mario Figueira , David Conesa , Antonio López-Quílez , Iosu Paradinas

Imbibition is a commonly encountered multiphase problem in various fields, and exact prediction of imbibition processes is a key issue for better understanding capillary flow in heterogeneous porous media. In this work, a numerical…

Soft Condensed Matter · Physics 2018-05-22 Si Suo , Mingchao Liu , Yixiang Gan

Networks effectively capture interactions among components of complex systems, and have thus become a mainstay in many scientific disciplines. Growing evidence, especially from biology, suggest that networks undergo changes over time, and…

Methodology · Statistics 2020-03-10 Ali Shojaie

Recent applications of machine learning and statistical inference provide case studies demonstrating how such approaches can accelerate the discovery process in physical chemistry and related fields. Examples discussed in this review…

Chemical Physics · Physics 2017-06-20 Ryan B. Jadrich , Beth A. Lindquist , Thomas M. Truskett

In recent years modelling crowd and evacuation dynamics has become very important, with increasing huge numbers of people gathering around the world for many reasons and events. The fact that our global population grows dramatically every…

Physics and Society · Physics 2015-01-28 Mohamed H. Dridi

The structure of ecological interactions is commonly understood through analyses of interaction networks. However, these analyses may be sensitive to sampling biases in both the interactors (the nodes of the network) and interactions (the…

The persistence of biodiversity of species is a challenging proposition in ecological communities in the face of Darwinian selection. The present article investigates beyond the pairwise competitive interactions and provides a novel…

Populations and Evolution · Quantitative Biology 2022-11-09 Sourin Chatterjee , Sayantan Nag Chowdhury , Dibakar Ghosh , Chittaranjan Hens

Personalized models of the gut microbiome are valuable for disease prevention and treatment. For this, one requires a mathematical model that predicts microbial community composition and the emergent behavior of microbial communities. We…

Populations and Evolution · Quantitative Biology 2019-10-29 James D. Brunner , Nicholas Chia

Microbial ecology serves as a foundation for a wide range of scientific and biomedical studies. Rapidly-evolving high-throughput sequencing technology enables the comprehensive search for microbial biomarkers using longitudinal experiments.…

In this study we present an interferometric technique based on multiple wavelengths to capture the transient free surface contour of nanoliter drops spreading on a wettable surface, in particular close to the three-phase contact line.…

Fluid Dynamics · Physics 2024-12-24 Timo Richter , Mathis Fricke , Peter Stephan , Cameron Tropea , Jeanette Hussong

We consider statistical inference in factor analysis for ergodic and non-ergodic diffusion processes from discrete observations. Factor model based on high frequency time series data has been mainly discussed in the field of high…

Statistics Theory · Mathematics 2022-02-04 Shogo Kusano , Masayuki Uchida

Walking droplets -- millimetric oil droplets that self-propel across the surface of a vibrating fluid bath -- exhibit striking emergent statistics that remain only partially understood. In particular, in a variety of experiments, a robust…

Fluid Dynamics · Physics 2026-01-28 Skyler Mao , David Darrow

Capturing both the structural and temporal aspects of interactions is crucial for many real world datasets like contact between individuals. Using the link stream formalism to capture the dynamic of the systems, we tackle the issue of…

Social and Information Networks · Computer Science 2018-04-13 Thibaud Arnoux , Lionel Tabourier , Matthieu Latapy

It has become increasingly common to collect high-dimensional binary response data; for example, with the emergence of new sampling techniques in ecology. In smaller dimensions, multivariate probit (MVP) models are routinely used for…

Methodology · Statistics 2022-10-26 Antik Chakraborty , Rihui Ou , David B. Dunson

Statisticians increasingly face the problem to reconsider the adaptability of classical inference techniques. In particular, divers types of high-dimensional data structures are observed in various research areas; disclosing the boundaries…

Statistics Theory · Mathematics 2017-06-09 Paavo Sattler , Markus Pauly

The human body consists of microbiomes associated with the development and prevention of several diseases. These microbial organisms form several complex interactions that are informative to the scientific community for explaining disease…

Methodology · Statistics 2024-04-16 Tejasv Bedi , Bencong Zhu , Michael L. Neugent , Kevin C. Lutz , Nicole J. De Nisco , Qiwei Li

Motivated by experiments on cell segregation, we present a two-species model of interacting particles, aiming at a quantitative description of this phenomenon. Under precise scaling hypothesis, we derive from the microscopic model a…

Analysis of PDEs · Mathematics 2019-06-04 J. Barré , P. Degond , D. Peurichard , E. Zatorska