Control of self-organization: From equilibrium to non-equilibrium

Shi Yan; Zhang Tian-Hui

doi:10.7498/aps.69.20200161

Abstract

Self-organization represents a ubiquitous transition from disorder to order. It plays a critical role in forming crystalline materials and functional structures in biology. Functional structures are generally hybrid on a multiple scale in which nano-structures are often organized in a specific way such that they can perform functions. There are two typical functional structures: static equilibrium structures and dynamic non-equilibrium structures. In this review, recent advances in understanding and mimicking functional structures are summarized. Although great advances have been achieved, it is still a big challenge to realize dynamic non-equilibrium structures. In this case, we suggest that the controlling of self-organization in active systems may be a route toward interactive and adaptive structures.

Keywords:

Authors and contacts

Center for Soft Condensed Matter Physics and Interdisciplinary Research, School of Physical Science and Technology, Soochow University, Suzhou 215006, China

Corresponding author: Zhang Tian-Hui, zhangtianhui@suda.edu.cn

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References

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Cited By

图 1 人工晶体　(a) K₃Ba₃Li₂Al₄B₆O₂₀F单晶^[1]; (b) NH₄B₄O₆F晶体^[3]

Figure 1. Artificial crystals: (a) Single crystal of K₃Ba₃Li₂Al₄B₆O₂₀F^[1]; (b) crystal of NH₄B₄O₆F^[3].

DownLoad: Full-Size Img PowerPoint

图 2 (a) 从蛋白分子的纳米结构到宏观多孔结构, 骨骼具有的多级分层结构使其具有很强的韧性和抗撞击特性^[4]; (b)−(e) 生物体中的微纳米和 (b' )−(e') 人工仿生结构^[5]: (b) 蝉翼的抗反射结构^[6]; (c) 芋头超疏水的叶子^[7]; (d) 阳遂足科动物皮肤中的透镜结构^[8]; (e) 孔雀蝶眼角膜中的乳头阵列^[9]; (b' ) 抗反射硅锥阵列^[10]; (c' ) 超疏水树莓状结构^[11]; (d' ) 碳酸钙的微透镜结构(插图为放大图)^[12]; (e' ) 超亲水自净二氧化钛纳米柱阵列^[13]

Figure 2. (a) From the nanoscale of protein molecules to the macroscopic scale of physiology, the hierarchical structure of bone has significant characters of strong toughness and impact resistance^[4]; structures found on surfaces of plants and animals (b)−(e) and biomimetic, particle-based microstructures (b' )−(e' )^[5]: (b) the antireflective wings of a cicada^[6]; (c) the superhydrophobic leaves of taro^[7]; (d) lenses in the peripheral layer of the dorsal arm plate of a brittle star^[8]; (e) the corneal nipple arrays of a peacock butterfly^[9]; (b' ) antireflective silicon cone arrays^[10]; (c' ) superhydrophobic, raspberry-like arrangements^[11]; (d' ) micro-lenses from calcium carbonate (that show the magnified letter “A” here)^[12]; (e' )superhydrophilic, self-cleaning titania nanocolumns^[13].

DownLoad: Full-Size Img PowerPoint

图 3 结构色与光子晶体　(a) 大闪蝶及其蓝色翅膀中的纳米结构(即生物光子晶体)的扫描电子显微镜(scanning electron microscopy, SEM)图; (b) 孔雀羽毛及其蓝色部分的二维纳米结构的透射电子显微镜(transmission electron microscopy, TEM)图; (c) 大紫蛱蝶的翅膀及其白色部分的三维微观结构的SEM图^[18]; (d) 从左到右分别是一维、二维、三维的光子晶体结构示意图^[19]

Figure 3. Structure color and photonic crystals: (a) The blue iridescence and SEM image of the 1D structure of the Morpho butterfly; (b) multi-coloured peacock feather and TEM image of transverse cross section of the 2D structure of the blue area of a wing; (c) wing of the male Sasakia Charonda butterfly and SEM image of the 3D structure of the white iridescent area^[18]; (d) schematic drawings of the structures of 1D, 2D, and 3D photonic crystals^[19].

DownLoad: Full-Size Img PowerPoint

图 4 人工结构色　(a)直径为850 nm的二氧化硅大颗粒形成的二元胶体晶体薄膜的SEM图像^[21]; (b) 直径为150 nm的聚苯乙烯小颗粒形成的二元胶体晶体薄膜的SEM图像^[21]; (c) 二氧化硅微球形成的二维胶体晶体; (d) 白光照射下, 晶圆级尺寸的胶体晶体(图(c))薄膜呈现出的结构色^[22]

Figure 4. Artificial structure color: (a) SEM images of binary opal films formed by large 850 nm silica spheres packed in interstices^[21]; (b) SEM images of binary opal films formed by small 150 nm polystyrene latex spheres packed in interstices^[21]; (c) SEM image of two-dimensional colloidal crystal formed by silica microspheres; (d) wafer-scale colloidal crystal film shown in figure (c)^[22].

DownLoad: Full-Size Img PowerPoint

图 5 活性结构　(a) 豹变色龙在受到外部刺激时, 通过调控皮肤表面的微纳米结构, 会发生可逆色变; (b) 豹变色龙皮肤中光子晶体的微观结构图像及其三维面心立方结构模型(两个方向), 标尺为20 μm^[23]; (c) 细胞膜是由磷脂分子构成的双层膜结构, 具有很强的形变和适应能力^[25]

Figure 5. Active structure: (a) Reversible color change is shown for the leopard chameleon exposed to external stimuli (white arrow) through adjustments of micro-nano structures on skin surface; (b) TEM images of guanine nanocrystals in S-iridophores in the excited state and three-dimensional model of an FCC (face-centered cubic) lattice (shown in two orientations). Scale bar: 20 μm^[23]; (c) cell membrane is a double-layer membrane structure composed of phospholipid molecules, which is highly deformable and adaptable^[25]

DownLoad: Full-Size Img PowerPoint

图 6 自然界中的非平衡自组织结构　(a) Benard对流花纹^[26]; (b) 细胞骨架^[27]

Figure 6. Non-equilibrium self-organizations in nature: (a) The formation of Bernard convection pattern^[26]; (b) cytoske-leton^[27]

DownLoad: Full-Size Img PowerPoint

图 7 自然界和胶体体系中的集体运动　(a) 鱼群; (b)鸟群^[32]; (c) 细菌菌落^[33]; (d) 圆形受限边界内自驱动胶体的涡旋运动, 箭头表示粒子的瞬时速度的方向^[49]; (e) 环形腔内自驱动胶体的定向集体运动, 箭头表示粒子瞬时速度方向^[50]

Figure 7. Collective motions in natural and colloidal systems: (a) Schooling of fishes; (b) flocking of birds^[32]; (c) swimming bacillus subtilis bacteria^[33]; (d) a roller vortex with circular restricted boundary. The blue vectors represent instantaneous speed of the rollers^[49]; (e) directed collective motion of colloidal rollers. The blue arrows represent the instantaneous particle velocities^[50].

DownLoad: Full-Size Img PowerPoint

图 8 自驱动胶体体系中的动态结构　(a) 垂直交变磁场中, 尺寸可变的多节蛇形结构^[53]; (b) 蓝光照射下粒子自组装形成活性晶体; (c) 关闭光源后, 晶体溶解^[32]; (d)交变电场中, Janus粒子在不同粒子浓度条件下形成的交错链(56 V·cm^–1 at 40 kHz); (e)交变电场中, Janus粒子在不同粒子浓度条件下形成的密集交错链(27 V·cm^–1 at 40 kHz)^[54]

Figure 8. Dynamic self-assembly in the colloidal systems: (a) Self-assembled multi-segment snake-like structures generated by a vertical alternating magnetic field. The size of the segments is determined by the magnetic field frequency^[53]; (b) living crystals assembled from a homogeneous distribution under illumination by blue light; (c) living crystals melt by thermal diffusion when light is extinguished^[32]; (d) optical micrographs of staggered chains (56 V·cm^–1 at 40 kHz) of Janus particles in an alternating-electric field^[54]; (e) optical micrographs of concentrated staggered chains (27 V·cm^–1 at 40 kHz) of Janus particles in an alternating-electric field^[54].

DownLoad: Full-Size Img PowerPoint

图 9 (a)−(h) 振动颗粒表面形成的形态各异的斑图, 实验和模拟结果对比(Γ为加速度, $ f^* $为约化振动频率)^[55]

Figure 9. (a)−(h) Spot diagrams of vibration granular surface forms: Experiment and simulation results (Γ is acceleration and $ f^* $ is frequency)^[55].

DownLoad: Full-Size Img PowerPoint

map

[1]	Zhao S, Kang L, Shen Y, Wang X, Asghar M A, Lin Z, Xu Y, Zeng S, Hong M, Luo J 2016 J. Am. Chem. Soc. 138 2961 Google Scholar
[2]	Chen W, Jiang A, Wang G 2003 J. Cryst. Growth 256 383 Google Scholar
[3]	Shi G, Wang Y, Zhang F, Zhang B, Yang Z, Hou X, Pan S, Poeppelmeier K R 2017 J. Am. Chem. Soc. 139 10645 Google Scholar
[4]	Libonati F, Buehler M J 2017 Adv. Eng. Mater. 19 1600787 Google Scholar
[5]	Kraus T, Brodoceanu D, Pazos-Perez N, Fery A 2013 Adv. Funct. Mater. 23 4529 Google Scholar
[6]	Zhang G, Zhang J, Xie G, Liu Z, Shao H 2006 Small 2 1440 Google Scholar
[7]	Yan Y Y, Gao N, Barthlott W 2011 Adv. Colloid Interface Sci. 169 80 Google Scholar
[8]	Aizenberg J, Tkachenko A, Weiner S, Addadi L, Hendler G 2001 Nature 412 819 Google Scholar
[9]	Stavenga D G, Foletti S, Palasantzas G, Arikawa K 2006 Proc. R. Soc. B-Biol. Sci. 273 661 Google Scholar
[10]	Zhang X, Zhang J, Ren Z, Li X, Zhang X, Zhu D, Wang T, Tian T, Yang B 2009 Langmuir 25 7375 Google Scholar
[11]	Tsai H J, Lee Y L 2007 Langmuir 23 12687 Google Scholar
[12]	Lee K, Wagermaier W, Masic A, Kommareddy K P, Bennet M, Manjubala I, Lee S W, Park S B, Cölfen H, Fratzl P 2012 Nat. Commun. 3 725 Google Scholar
[13]	Li Y, Sasaki T, Shimizu Y, Koshizaki N 2008 J. Am. Chem. Soc. 130 14755 Google Scholar
[14]	Wegst U G K, Bai H, Saiz E, Tomsia A P, Ritchie R O 2015 Nat. Mater. 14 23 Google Scholar
[15]	Morikawa J, Ryu M, Seniutinas G, Balčytis A, Maximova K, Wang X, Zamengo M, Ivanova E P, Juodkazis S 2016 Langmuir 32 4698 Google Scholar
[16]	Zhu J, Hsu C M, Yu Z, Fan S, Cui Y 2010 Nano Lett. 10 1979 Google Scholar
[17]	Nishimoto S, Bhushan B 2013 RSC Adv. 3 671 Google Scholar
[18]	Armstrong E, O'Dwyer C 2015 J. Mater. Chem. C 3 6109 Google Scholar
[19]	Seeboth A, Lötzsch D, Ruhmann R, Muehling O 2014 Chem. Rev. 114 3037 Google Scholar
[20]	Saranathan V, Forster J D, Noh H, Liew S F, Mochrie S G J, Cao H, Dufresne E R, Prum R O 2012 J. R. Soc. Interface 9 2563 Google Scholar
[21]	Wong S, Kitaev V, Ozin G A 2003 J. Am. Chem. Soc. 125 15589 Google Scholar
[22]	Jiang P, Prasad T, McFarland M J, Colvin V L 2006 Appl. Phys. Lett. 89 011908 Google Scholar
[23]	Teyssier J, Saenko S V, van der Marel D, Milinkovitch M C 2015 Nat. Commun. 6 6368 Google Scholar
[24]	Clapham D E, Runnels L W, Strübing C 2001 Nat. Rev. Neurosci. 2 387
[25]	Nicolson G L 2014 Biochim. Biophys. Acta-Biomembr. 1838 1451 Google Scholar
[26]	Richter F M 1978 J. Fluid Mech. 89 553 Google Scholar
[27]	Liu Y, Mollaeian K, Ren J 2018 Electronics 7
[28]	Mohammed J S, Murphy W L 2009 Adv. Mater. 21 2361 Google Scholar
[29]	Cui Y, Li D, Bai H 2017 Ind. Eng. Chem. Res. 56 4887 Google Scholar
[30]	Roy N, Bruchmann B, Lehn J M 2015 Chem. Soc. Rev. 44 3786 Google Scholar
[31]	Grzybowski B A, Fitzner K, Paczesny J, Granick S 2017 Chem. Soc. Rev. 46 5647 Google Scholar
[32]	Zhang J, Guo J, Mou F, Guan J 2018 Micromachines 9 88 Google Scholar
[33]	Marchetti M C, Joanny J F, Ramaswamy S, Liverpool T B, Prost J, Rao M, Simha R A 2013 Rev. Mod. Phys. 85 1143 Google Scholar
[34]	Vicsek T, Czirók A, Ben-Jacob E, Cohen I, Shochet O 1995 Phys. Rev. Lett. 75 1226 Google Scholar
[35]	Zhang H P, Be’er A, Florin E L, Swinney H L 2010 Proc. Natl. Acad. Sci. USA 107 13626 Google Scholar
[36]	Chen C, Liu S, Shi X Q, Chaté H, Wu Y 2017 Nature 542 210 Google Scholar
[37]	Vedula S R K, Leong M C, Lai T L, Hersen P, Kabla A J, Lim C T, Ladoux B 2012 Proc. Nat. Acad. Sci. USA 109 12974 Google Scholar
[38]	Minati G (Urbani Ulivi L Ed.) 2019 The Systemic Turn in Human and Natural Sciences: A Rock in The Pond (Cham: Springer International Publishing) pp1−39
[39]	Rubenstein M, Cornejo A, Nagpal R 2014 Science 345 795 Google Scholar
[40]	Wang W, Duan W, Ahmed S, Sen A, Mallouk T E 2015 Acc. Chem. Res. 48 1938 Google Scholar
[41]	Zhang J, Luijten E, Grzybowski B A, Granick S 2017 Chem. Soc. Rev. 46 5551 Google Scholar
[42]	Tretiakov K V, Szleifer I, Grzybowski B A 2013 Angew. Chem., Int. Ed. 52 10304 Google Scholar
[43]	Snezhko A, Aranson I S 2011 Nat. Mater. 10 698 Google Scholar
[44]	Bricard A, Caussin J B, Desreumaux N, Dauchot O, Bartolo D 2013 Nature 503 95 Google Scholar
[45]	Palacci J, Sacanna S, Steinberg A P, Pine D J, Chaikin P M 2013 Science 339 936 Google Scholar
[46]	Narayan V, Ramaswamy S, Menon N 2007 Science 317 105 Google Scholar
[47]	Wang W, Duan W, Sen A, Mallouk T E 2013 Proc. Nat. Acad. Sci. USA 110 17744 Google Scholar
[48]	Wioland H, Woodhouse F G, Dunkel J, Kessler J O, Goldstein R E 2013 Phys. Rev. Lett. 110 268102 Google Scholar
[49]	Bricard A, Caussin J-B, Das D, Savoie C, Chikkadi V, Shitara K, Chepizhko O, Peruani F, Saintillan D, Bartolo D 2015 Nat. Commun. 6 7470 Google Scholar
[50]	Morin A, Bartolo D 2018 Phys. Rev. X 8 021037
[51]	Lin Z, Gao C, Chen M, Lin X, He Q 2018 Curr. Opin. Colloid Interface Sci. 35 51 Google Scholar
[52]	Snezhko A 2011 J. Phys. Condes. Matter 23 153101 Google Scholar
[53]	Belkin M, Glatz A, Snezhko A, Aranson I S 2010 Phys. Rev. E 82 015301 Google Scholar
[54]	Gangwal S, Cayre O J, Velev O D 2008 Langmuir 24 13312 Google Scholar
[55]	Bizon C, Shattuck M D, Swift J B, McCormick W D, Swinney H L 1998 Phys. Rev. Lett. 80 57 Google Scholar
[56]	Eshuis P, van der Weele K, van der Meer D, Bos R, Lohse D 2007 Phys. Fluids 19 123301 Google Scholar
[57]	Zhang J, Hess P W, Kyprianidis A, Becker P, Lee A, Smith J, Pagano G, Potirniche I D, Potter A C, Vishwanath A, Yao N Y, Monroe C 2017 Nature 543 217 Google Scholar
[58]	Sacha K, Zakrzewski J 2017 Rep. Prog. Phys. 81 016401

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Vol. 69, Issue 14 - 2020-07-20

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