2012
DOI: 10.1038/nature11591
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Spontaneous motion in hierarchically assembled active matter

Abstract: With exquisite precision and reproducibility, cells orchestrate the cooperative action of thousands of nanometer-sized molecular motors to carry out mechanical tasks at much larger length scales, such as cell motility, division and replication1. Besides their biological importance, such inherently non-equilibrium processes are an inspiration for developing biomimetic active materials from microscopic components that consume energy to generate continuous motion2–4. Being actively driven, these materials are not… Show more

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Cited by 1,339 publications
(1,876 citation statements)
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References 40 publications
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“…We do not observe experimentally or numerically the swarming behaviour predicted theoretically by many authors [62][63][64][65] for nematic self-propelled particles similar in spirit to the Vicsek model [66]: transition to a flocking behaviour with coherent groups of particles moving in the same direction, swarming or formation of travelling bands otherwise recently observed experimentally by the group of Bausch [67] or more recently the large-scale vortices observed by Sumino et al [68] or by the group of Bartolo with self-propelled rollers colloids [69], or active nematics [70]. In all those works, the self-propelled particles are polar with nematic interactions, i.e.…”
Section: (D) Living Crystals Versus Swarming and Flocks Behaviourmentioning
confidence: 94%
“…We do not observe experimentally or numerically the swarming behaviour predicted theoretically by many authors [62][63][64][65] for nematic self-propelled particles similar in spirit to the Vicsek model [66]: transition to a flocking behaviour with coherent groups of particles moving in the same direction, swarming or formation of travelling bands otherwise recently observed experimentally by the group of Bausch [67] or more recently the large-scale vortices observed by Sumino et al [68] or by the group of Bartolo with self-propelled rollers colloids [69], or active nematics [70]. In all those works, the self-propelled particles are polar with nematic interactions, i.e.…”
Section: (D) Living Crystals Versus Swarming and Flocks Behaviourmentioning
confidence: 94%
“…The decay/growth of fluctuations is governed by the eigenvalues of Eqs. (10). The stability is controlled by the eigenvalue s + (q), with dispersion relation For small wave vectors, the dispersion relation can be approximated as…”
Section: A Mean-field Theory and Phase Separationmentioning
confidence: 99%
“…This hypothesis has been supported by agent-based simulations 1,5,6 . However, more complex collective behaviors have been systematically found in experiments including the formation of vortices 7-9 , fluctuating swarms 7, 10 , clustering 11,12 , and swirling [13][14][15][16] . All these (living and man-made) model systems (bacteria 9,10, 16 , biofilaments and molecular motors 7,8,13 , shaken grains 14, 15 and reactive colloids 11,12 ) predominantly rely on actual collisions to display collective motion.…”
mentioning
confidence: 99%