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Phase separation, the spontaneous segregation of density, is a ubiquitous phenomenon observed across diverse physical and biological systems. Within a crowd of motile elements, active phase separation emerges from the interplay of activity…

Soft Condensed Matter · Physics 2026-01-26 Kyosuke Adachi

The distinct timescales of synaptic plasticity and neural activity dynamics play an important role in the brain's learning and memory systems. Activity-dependent plasticity reshapes neural circuit architecture, determining spontaneous and…

Neurons and Cognition · Quantitative Biology 2023-06-30 Heather L Cihak , Zachary P Kilpatrick

We analyze the effects of spatiotemporal noise on stationary pulse solutions (bumps) in neural field equations on planar domains. Neural fields are integrodifferential equations whose integral kernel describes the strength and polarity of…

Pattern Formation and Solitons · Physics 2015-04-21 Daniel Poll , Zachary P. Kilpatrick

Active Brownian particles (ABPs), when subject to purely repulsive interactions, are known to undergo activity-induced phase separation broadly resembling an equilibrium (attraction-induced) gas-liquid coexistence. Here we present an…

Soft Condensed Matter · Physics 2013-10-04 Joakim Stenhammar , Adriano Tiribocchi , Rosalind J. Allen , Davide Marenduzzo , Michael E. Cates

We investigate the influence of a self-propelling, out-of-equilibrium active particle on generalized elastic systems, including flexible and semiflexible polymers, fluid membranes, and fluctuating interfaces, while accounting for…

Soft Condensed Matter · Physics 2024-01-25 Alessandro Taloni

The long time dynamics of large particles trapped in two inhomogeneous turbulent shear flows is studied experimentally. Both flows present a common feature, a shear region that separates two colliding circulations, but with different…

Fluid Dynamics · Physics 2016-03-02 N Machicoane , M López-Caballero , L Fiabane , J-F Pinton , M Bourgoin , J Burguete , R Volk

Liquid-liquid phase separation is key to understanding aqueous two-phase systems (ATPS) arising throughout cell biology, medical science, and the pharmaceutical industry. Controlling the detailed morphology of phase-separating compound…

Soft Condensed Matter · Physics 2023-10-27 Eric W. Hester , Sean P. Carney , Vishwesh Shah , Alyssa Arnheim , Bena Patel , Dino Di Carlo , Andrea L. Bertozzi

We carry out a comprehensive linear stability analysis of active Brownian particle systems around a constant homogeneous state. These scalar models, being important prototypes for the continuous description of active matter, are…

Analysis of PDEs · Mathematics 2025-12-22 Michele Coti Zelati , Lucas Ertzbischoff , David Gerard-Varet

We use inelastic hard sphere molecular dynamics simulations and laboratory experiments to study patterns in vertically oscillated granular layers. The simulations and experiments reveal that {\em phase bubbles} spontaneously nucleate in the…

Soft Condensed Matter · Physics 2009-11-07 Sung Joon Moon , M. D. Shattuck , C. Bizon , Daniel I. Goldman , J. B. Swift , Harry L. Swinney

The spatio-temporal dynamics of separation bubbles induced to form in a fully-developed turbulent boundary layer (with Reynolds number based on momentum thickness of the boundary layer of 490) over a flat plate are studied via direct…

Fluid Dynamics · Physics 2019-12-04 Wen Wu , Charles Meneveau , Rajat Mittal

Many physical systems characterized by nonlinear multiscale interactions can be effectively modeled by treating unresolved degrees of freedom as random fluctuations. However, even when the microscopic governing equations and qualitative…

Statistical Mechanics · Physics 2021-06-07 Jared L. Callaham , Jean-Christophe Loiseau , Georgios Rigas , Steven L. Brunton

We introduce a model of long-range interacting particles evolving under a stochastic Monte Carlo dynamics, in which possible increase or decrease in the values of the dynamical variables is accepted with preassigned probabilities. For…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , Thierry Dauxois , Stefano Ruffo

In this work, we report a new method to simulate active Brownian particles (ABPs) in molecular dynamics (MD) simulations. Immersed in a fluid, each ABP consists of a head particle and a spherical phantom region of fluid where the flagellum…

Soft Condensed Matter · Physics 2019-02-15 Liya Wang , Xinpeng Xu , Zhigang Li , Tiezheng Qian

Cell proliferation and cell movement are fundamentally stochastic processes which lead to variability in the growth and spatial structure of cell populations in many biological settings, such as cell invasion, wound healing, and tumour…

Cell Behavior · Quantitative Biology 2026-04-23 John Carlo Dimaculangan , Cameron A. Smith , Christian A. Yates

We extend the phase field crystal model to accommodate exact atomic configurations and vacancies by requiring the order parameter to be non-negative. The resulting theory dictates the number of atoms and describes the motion of each of…

Computational Physics · Physics 2009-02-10 Pak Yuen Chan , Nigel Goldenfeld , Jon Dantzig

Localized contractile configurations or asters spontaneously appear and disappear as emergent structures in the collective stochastic dynamics of active polar actomyosin filaments. Passive parti- cles which (un)bind to the active filaments…

Soft Condensed Matter · Physics 2016-02-17 Amit Das , Anirban Polley , Madan Rao

Real scalar field models incorporating asymmetric double well potentials will decay to the state of lowest energy. While the eventual nature of the system can be discerned, the determination of the dynamics of the bubble wall provides many…

High Energy Physics - Phenomenology · Physics 2010-11-19 Richard M. Haas

The dynamics of phase separation in multi-component bilayer fluid vesicles is investigated by means of large-scale dissipative particle dynamics. The model explicitly accounts for solvent particles, thereby allowing for the very first…

Soft Condensed Matter · Physics 2009-11-10 Mohamed Laradji , P. B. Sunil Kumar

In Bhattacharya et al. (Science Advances, 2020), a set of chemical reactions involved in the dynamics of actin waves in cells was studied. Both at the microscopic level, where the individual chemical reactions are directly modelled using…

Analysis of PDEs · Mathematics 2023-02-01 Christian Hamster , Peter van Heijster

A novel theoretical model for bubble dynamics is established that simultaneously accounts for the liquid compressibility, phase transition, oscillation, migration, ambient flow field, etc. The bubble dynamics equations are presented in a…

Fluid Dynamics · Physics 2024-11-05 A-Man Zhang , Shi-Min Li , Run-Ze Xu , Shao-Cong Pei , Shuai Li , Yun-Long Liu
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