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Transient dynamics leading to the synchrony of pulse-coupled oscillators has previously been studied as an aggregation process of synchronous clusters, and a rate equation for the cluster size distribution has been proposed. However, the…

Statistical Mechanics · Physics 2023-03-06 Gangyong Gwon , Young Sul Cho

Populations of swimming microorganisms produce fluid motions that lead to dramatically enhanced diffusion of tracer particles. Using simulations of suspensions of swimming particles in a periodic domain, we capture this effect and show that…

Soft Condensed Matter · Physics 2008-07-22 Patrick T. Underhill , Juan P. Hernández-Ortiz , Michael D. Graham

Microswimmers are exposed in nature to crowded environments and their transport properties depend in a subtle way on the interaction with obstacles. Here, we investigate a model for a single ideal circle swimmer exploring a two-dimensional…

Biological Physics · Physics 2020-03-17 Oleksandr Chepizhko , Thomas Franosch

Percolation is a cornerstone concept in physics, providing crucial insights into critical phenomena and phase transitions. In this study, we adopt a kinetic perspective to reveal the scaling behaviors of higher-order gaps in the largest…

Statistical Mechanics · Physics 2024-11-01 Sheng Fang , Qing Lin , Jun Meng , Bingsheng Chen , Jan Nagler , Youjin Deng , Jingfang Fan

Fission and fusion processes of particles clusters occur in many areas of physics and chemistry from subnuclear to astronomic length scales. Here we study fission and fusion of magnetic microswimmer clusters as governed by their…

Soft Condensed Matter · Physics 2016-12-21 Francisca Guzmán-Lastra , Andreas Kaiser , Hartmut Löwen

We investigate the onset of the discontinuous percolation transition in small-world hyperbolic networks by studying the systems-size scaling of the typical largest cluster approaching the transition, $p\nearrow p_{c}$. To this end, we…

Statistical Mechanics · Physics 2014-08-01 Vijay Singh , Stefan Boettcher

Previous particle-based computer simulations have revealed a significantly more pronounced tendency of spontaneous global polar ordering in puller (contractile) microswimmer suspensions than in pusher (extensile) suspensions. We here…

Soft Condensed Matter · Physics 2018-10-23 Christian Hoell , Hartmut Löwen , Andreas M. Menzel

Cooperation between micro-organisms give rise to novel phenomena like clustering, swarming in suspension. We study the collective behavior of the artificial swimmer called Taylor line at low Reynolds number using multi-particle collision…

Soft Condensed Matter · Physics 2018-02-14 Adyant Agrawal , Sujin B. Babu

We use numerical simulations to probe the dynamics of concentrated suspensions of spherical microswimmers interacting hydrodynamically. Previous work in the dilute limit predicted orientational instabilities of aligned suspensions for both…

Soft Condensed Matter · Physics 2013-02-12 Arthur A. Evans , Takuji Ishikawa , Takami Yamaguchi , Eric Lauga

Cluster growth in a coagulating system of active particles (such as microswimmers in a solvent) is studied by theory and simulation. In contrast to passive systems, the net velocity of a cluster can have various scalings dependent on the…

Soft Condensed Matter · Physics 2014-03-21 P. Cremer , H. Löwen

Percolation refers to the emergence of a giant connected cluster in a disordered system when the number of connections between nodes exceeds a critical value. The percolation phase transitions were believed to be continuous until recently…

Disordered Systems and Neural Networks · Physics 2015-02-13 R. A. da Costa , S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

The finite-size scaling theory for continuous phase transition plays an important role in determining critical point and critical exponents from the size-dependent behaviors of quantities in the thermodynamic limit. For percolation phase…

Statistical Mechanics · Physics 2017-10-10 Yong Zhu , Xiaosong Chen

Microswimmers are active particles of microscopic size that self-propel by setting the surrounding fluid into motion. According to the kind of far-field fluid flow that they induce, they are classified into pushers and pullers. Many studies…

Soft Condensed Matter · Physics 2019-08-01 Giorgio Pessot , Hartmut Löwen , Andreas M. Menzel

We study the evolution of percolation with freezing. Specifically, we consider cluster formation via two competing processes: irreversible aggregation and freezing. We find that when the freezing rate exceeds a certain threshold, the…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

A striking feature of the collective behavior of spherical microswimmers is that for sufficiently strong self-propulsion they phase-separate into a dense cluster coexisting with a low-density dis- ordered surrounding. Extending our previous…

Soft Condensed Matter · Physics 2016-10-31 Johannes Blaschke , Maurice Maurer , Karthik Menon , Andreas Zöttl , Holger Stark

Suspensions of rear- and front-actuated microswimmers immersed in a fluid, known respectively as ``pushers'' and ``pullers'', display qualitatively different collective behaviours: beyond a characteristic density, pusher suspensions exhibit…

Soft Condensed Matter · Physics 2020-07-08 Dóra Bárdfalvy , Shan Anjum , Cesare Nardini , Alexander Morozov , Joakim Stenhammar

Swimming cells and microorganisms must often move though complex fluids that contain an immersed microstructure such as polymer molecules, or filaments. In many important biological processes, such as mammalian reproduction and bacterial…

Fluid Dynamics · Physics 2018-08-06 Arshad Kamal , Eric E Keaveny

Microorganisms living in microfluidic environments often form multi-species swarms, where they can leverage collective motions to achieve enhanced transport and spreading. Nevertheless, there is a general lack of physical understandings of…

Fluid Dynamics · Physics 2022-02-14 Bryce Palmer , Wen Yan , Tong Gao

Microorganisms ofter move in confined, disordered environments, where hydrodynamic couplings can modify their transport behavior. Using extensive finite-element simulations, we investigate the dynamics of microswimmers -- modeled as…

Soft Condensed Matter · Physics 2026-03-24 Mirko Residori , Sebastian Aland , Christina Kurzthaler

The basic notion of percolation in physics assumes the emergence of a giant connected (percolation) cluster in a large disordered system when the density of connections exceeds some critical value. Until recently, the percolation phase…

Disordered Systems and Neural Networks · Physics 2015-05-19 R. A. da Costa , S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes
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