Self-propelled particles with soft-core interactions: patterns, stability, and collapse.

By M. R. D 'orsogna, Y. Chuang, Andrea L. Bertozzi, L. Chayes. Physical Review Letters, 2006

621 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Condensed Matter Physics, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/c3bd92845c302074194831260175596a01509ad2

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In Biomedical Engineering

In Condensed Matter Physics

In Mechanical Engineering

Citations in the corpus

Asymptotic Flocking Dynamics for the Kinetic Cucker-Smale Model (2010, background): “Patterns for discrete models have been classified in [19] for typical interaction potentials and studied by hydrodynamic [14] and kinetic equations [8].”
Dimensionality of Local Minimizers of the Interaction Energy (2012, background): “Analogously in applications to biological sciences [27, 26, 33, 4, 14], individuals in a social aggregate (e.”
From particle to kinetic and hydrodynamic descriptions of flocking (2008, background): “, biological organism [3, 8, 9, 10, 18, 19, 22, 25, 26], mobile network [2, 5, 11, 12] appears in many contexts of biological system, mobile and human network [6, 7].”
Double milling in self-propelled swarms from kinetic theory (2009, background): “We consider N interacting, self-propelled particles with Rayleigh friction in R, governed by the following equations of motion [20, 15, 7, 8]  ẋi = vi, v̇i = (α− β |vi|(2))vi −∇xi ∑”
Collective States, Multistability and Transitional Behavior in Schooling Fish (2013, background): “increase, and the system is catastrophic [4].”
Continuum limit of self-driven particles with orientation interaction (2007, background): “One can also refer to [16, 26] for related models.”
Cucker–Smale Flocking under Hierarchical Leadership (2006, background): “Discrete-to-continuum limits of interacting particle systems have also been investigated by the same group [1, 8] recently.”
Swarm dynamics and equilibria for a nonlocal aggregation model (2011, background): “A force that satisfies these conditions is the Morse function [8, 14, 2, 20], where the attraction and repulsion terms are both in the form of decaying exponentials, but of different signs, strengths and length scales.”
Ring patterns and their bifurcations in a nonlocal model of biological swarms (2015, methodology): “In [10], a solution consisting of a rotating ring was considered.”
Large Scale Dynamics of the Persistent Turning Walker Model of Fish Behavior (2007, methodology): “One previously proposed models to describe fish behavior is the discrete Vicsek model (VM) [1,14, 31,51] (see also [2,10,25,27,39,42,43] for related models).”
Active Brownian particles (2012, background): “The emergence of vortex-structures is in particular remarkable because so far they have only been reported for systems of self-propelled particles with confinement, or attracting potential, respectively [72,84,356].”
State Transitions and the Continuum Limit for a 2D Interacting, Self-Propelled Particle System (2006, methodology): “12 (a), we define significant neighbors of a particle as neighbors that exhibit a “significant interaction”.”
Particle, kinetic, and hydrodynamic models of swarming (2010, methodology): “On the one hand, the authors in [30] classify the different “zoology” of patterns: translational invariant flocks, rotating single and double mills, rings, and clumps; for different parameter values.”