干活性物质的动力学理论

陈雷鸣

doi:10.7498/aps.65.186401

摘要

活性物质是融合非平衡态统计物理、软物质物理和生命科学的新兴交叉学科，近几年取得了飞速的发展. 本文简短回顾了干活性物质的理论研究进展，从统计物理的角度，围绕有序性、有序-无序相变和粒子数涨落这几个问题对极性和非极性系统的连续体理论做了重点介绍，并讨论了理论预测和数值以及实验结果之间的关系.

关键词:

活性物质 /
流体动力学 /
相变

In this paper we shortly review theoretical progress in the field of active matter, focusing on the continuum theory of dry systems, in which momentum of active particles is not conserved due to the interaction between the particles and a substrate or medium. In particular, we review the phenomenological way of deriving hydrodynamic equations for both polar and apolar systems, and the predictions of these theories such as long-ranged orientational order in two-dimensional polar systems and giant number fluctuations. The comparisons among theoretical predictions, numerical results, and experimental evidence are also summarized.

Keywords:

作者及机构信息

陈雷鸣

1.
中国矿业大学理学院, 徐州 221116

通信作者: 陈雷鸣, leiming@cumt.edu.cn

基金项目: 国家自然科学基金（批准号：11474354）资助的课题.

Authors and contacts

Chen Lei-Ming

1.
College of Sciences, China University of Mining and Technology, Xuzhou 221116, China

Corresponding author: Chen Lei-Ming, leiming@cumt.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11474354).

参考文献

[1]	Schweitzer F 2003 Brownian Agents and Active Particles: Collective Dynamics in the Natural and Social Sciences (Berlin: Springer)
[2]	Surrey T, Ndlec F, Leibler S, Karsenti E 2001 Science 292 1167
[3]	Wolgemuth C, Hoiczyk E, Kaiser D, Oster G 2002 Curr. Biol. 12 369
[4]	Toner J, Tu Y 1998 Phys. Rev. E 58 4828
[5]	Ramaswamy S, Simha R A, Toner J 2003 Europhys. Lett. 62 196
[6]	Yamada D, Hondou T, Sano M 2003 Phys. Rev. E 67 040301
[7]	Aranson I S, Tsimring L S 2006 Phys. Rev. E 74 031915
[8]	Narayan V, Ramaswamy S, Menon N 2007 Science 317 105
[9]	Kudrolli A, Lumay G, Volfson D, Tsimring L S 2008 Phys. Rev. Lett. 100 058001
[10]	Deseigne J, Dauchot O, Chate H 2010 Phys. Rev. Lett. 105 098001
[11]	Drescher K, Dunkel J, Cisneros L H, Ganguly S, Goldstein R E 2011 Proc. Natl. Acad. Sci. USA 108 10940
[12]	Ballerini M, Cabibbo N, Candelier R 2008 Proc. Natl. Acad. Sci. USA 105 1232
[13]	Ginelli F, Chate H 2010 Phys. Rev. Lett. 105 168103
[14]	Bricard A, Caussin J B, Desreumaux N, Dauchot O, Bartolo D 2013 Nature 503 95
[15]	Vicsek T, Czirok A, Ben-Jacob E, Cohen I, Shochet O 1995 Phys. Rev. Lett. 75 1226
[16]	Gruler H, Dewald U, Eberhardt M 1999 Eur. Phys. J. B 11 187
[17]	Peruani F, Deutsch A, Bar M 2006 Phys. Rev. E 74 030904
[18]	Baskaran A, Marchetti M C 2008 Phys. Rev. E 77 011920
[19]	Yang Y, Marceau V, Gompper G 2010 Phys. Rev. E 82 031904
[20]	Toner J, Tu Y 1995 Phys. Rev. Lett. 75 4326
[21]	Toner J, Tu Y, S Ramaswamy 2005 Ann. Phys. 318 170
[22]	Mermin N D, Wagner H 1966 Phys. Rev. Lett. 17 1133
[23]	Bertin E, Droz M, Gregoire G 2006 Phys. Rev. E 74 022101
[24]	Bertin E, Droz M, Gregoire G 2009 J. Phys. A 42 445001.
[25]	Ihle T 2011 Phys. Rev. E 83 030901
[26]	Mishra S, Baskaran A, Marchetti M C 2010 Phys. Rev. E 81 061916
[27]	Gregoire G, Chate H 2004 Phys. Rev. Lett. 92 025702
[28]	Chate H, Ginelli F, Gregoire G, Raynaud F 2008 Phys. Rev. E 77 046113
[29]	Chen L, Toner J, Lee C F 2015 New J. Phys. 17 042002
[30]	Chate H, Ginelli F, Gregoire G, Peruani F, Raynaud F 2008 Eur. Phys. J. B 64 451
[31]	Zhang H P, Beer A, Florin E L, Swinney H L 2010 Proc. Natl. Acad. Sci. USA 107 13626
[32]	Chate H, Ginelli F, Montagne R 2006 Phys. Rev. Lett. 96 180602
[33]	Tailleur J, Cates M E 2008 Phys. Rev. Lett. 100 218103
[34]	Cates M E 2012 Rep. Prog. Phys. 75 042601
[35]	Fily Y, Baskaran A, Marchetti M C 2012 Soft Matter 8 3002
[36]	Tu Y, Ulm M, Toner J 1998 Phys. Rev. Lett. 80 4819
[37]	Toner J 2012 Phys. Rev. Lett. 108 088102
[38]	Chen L, Toner J, Lee C F 2016 Nature Communications 7 12215
[39]	Mishra S, Ramaswamy S 2006 Phys. Rev. Lett. 97 090602
[40]	Simha R A, Ramaswamy S 2002 Phys. Rev. Lett. 89 058101
[41]	Ahmadi A, Marchetti M C, Liverpool T B 2006 Phys. Rev. E 74 061913
[42]	Mishra S 2009 Ph. D. Dissertation (Bangalore: Indian Institute of Science)
[43]	Shi X, Chate H, Ma Y 2014 New J. Phys. 16 035003
[44]	Bertin E, Chate H, Ginelli F, Mishra S, Peshkov A, Ramaswamy S 2013 New J. Phys. 15 085032
[45]	Gruler H, Dewald U, Eberhardt M 1999 Eur. Phys. J. B 11 187
[46]	Aranson I S, Snezhko A, Olafsen J S, Urbach J S 2008 Science 320 612
[47]	Narayan V, Ramaswamy S, Menon N 2008 Science 320 612
[48]	Chen L, Toner J 2013 Phys. Rev. Lett. 111 088701
[49]	Adhyapak T C, Ramaswamy S, Toner J 2013 Phys. Rev. Lett. 110 118102
[50]	Romanczuk P, Chate H, Chen L, Ngo S, Toner J 2015 New J. Phys. 18 063015

施引文献

[1]	Schweitzer F 2003 Brownian Agents and Active Particles: Collective Dynamics in the Natural and Social Sciences (Berlin: Springer)
[2]	Surrey T, Ndlec F, Leibler S, Karsenti E 2001 Science 292 1167
[3]	Wolgemuth C, Hoiczyk E, Kaiser D, Oster G 2002 Curr. Biol. 12 369
[4]	Toner J, Tu Y 1998 Phys. Rev. E 58 4828
[5]	Ramaswamy S, Simha R A, Toner J 2003 Europhys. Lett. 62 196
[6]	Yamada D, Hondou T, Sano M 2003 Phys. Rev. E 67 040301
[7]	Aranson I S, Tsimring L S 2006 Phys. Rev. E 74 031915
[8]	Narayan V, Ramaswamy S, Menon N 2007 Science 317 105
[9]	Kudrolli A, Lumay G, Volfson D, Tsimring L S 2008 Phys. Rev. Lett. 100 058001
[10]	Deseigne J, Dauchot O, Chate H 2010 Phys. Rev. Lett. 105 098001
[11]	Drescher K, Dunkel J, Cisneros L H, Ganguly S, Goldstein R E 2011 Proc. Natl. Acad. Sci. USA 108 10940
[12]	Ballerini M, Cabibbo N, Candelier R 2008 Proc. Natl. Acad. Sci. USA 105 1232
[13]	Ginelli F, Chate H 2010 Phys. Rev. Lett. 105 168103
[14]	Bricard A, Caussin J B, Desreumaux N, Dauchot O, Bartolo D 2013 Nature 503 95
[15]	Vicsek T, Czirok A, Ben-Jacob E, Cohen I, Shochet O 1995 Phys. Rev. Lett. 75 1226
[16]	Gruler H, Dewald U, Eberhardt M 1999 Eur. Phys. J. B 11 187
[17]	Peruani F, Deutsch A, Bar M 2006 Phys. Rev. E 74 030904
[18]	Baskaran A, Marchetti M C 2008 Phys. Rev. E 77 011920
[19]	Yang Y, Marceau V, Gompper G 2010 Phys. Rev. E 82 031904
[20]	Toner J, Tu Y 1995 Phys. Rev. Lett. 75 4326
[21]	Toner J, Tu Y, S Ramaswamy 2005 Ann. Phys. 318 170
[22]	Mermin N D, Wagner H 1966 Phys. Rev. Lett. 17 1133
[23]	Bertin E, Droz M, Gregoire G 2006 Phys. Rev. E 74 022101
[24]	Bertin E, Droz M, Gregoire G 2009 J. Phys. A 42 445001.
[25]	Ihle T 2011 Phys. Rev. E 83 030901
[26]	Mishra S, Baskaran A, Marchetti M C 2010 Phys. Rev. E 81 061916
[27]	Gregoire G, Chate H 2004 Phys. Rev. Lett. 92 025702
[28]	Chate H, Ginelli F, Gregoire G, Raynaud F 2008 Phys. Rev. E 77 046113
[29]	Chen L, Toner J, Lee C F 2015 New J. Phys. 17 042002
[30]	Chate H, Ginelli F, Gregoire G, Peruani F, Raynaud F 2008 Eur. Phys. J. B 64 451
[31]	Zhang H P, Beer A, Florin E L, Swinney H L 2010 Proc. Natl. Acad. Sci. USA 107 13626
[32]	Chate H, Ginelli F, Montagne R 2006 Phys. Rev. Lett. 96 180602
[33]	Tailleur J, Cates M E 2008 Phys. Rev. Lett. 100 218103
[34]	Cates M E 2012 Rep. Prog. Phys. 75 042601
[35]	Fily Y, Baskaran A, Marchetti M C 2012 Soft Matter 8 3002
[36]	Tu Y, Ulm M, Toner J 1998 Phys. Rev. Lett. 80 4819
[37]	Toner J 2012 Phys. Rev. Lett. 108 088102
[38]	Chen L, Toner J, Lee C F 2016 Nature Communications 7 12215
[39]	Mishra S, Ramaswamy S 2006 Phys. Rev. Lett. 97 090602
[40]	Simha R A, Ramaswamy S 2002 Phys. Rev. Lett. 89 058101
[41]	Ahmadi A, Marchetti M C, Liverpool T B 2006 Phys. Rev. E 74 061913
[42]	Mishra S 2009 Ph. D. Dissertation (Bangalore: Indian Institute of Science)
[43]	Shi X, Chate H, Ma Y 2014 New J. Phys. 16 035003
[44]	Bertin E, Chate H, Ginelli F, Mishra S, Peshkov A, Ramaswamy S 2013 New J. Phys. 15 085032
[45]	Gruler H, Dewald U, Eberhardt M 1999 Eur. Phys. J. B 11 187
[46]	Aranson I S, Snezhko A, Olafsen J S, Urbach J S 2008 Science 320 612
[47]	Narayan V, Ramaswamy S, Menon N 2008 Science 320 612
[48]	Chen L, Toner J 2013 Phys. Rev. Lett. 111 088701
[49]	Adhyapak T C, Ramaswamy S, Toner J 2013 Phys. Rev. Lett. 110 118102
[50]	Romanczuk P, Chate H, Chen L, Ngo S, Toner J 2015 New J. Phys. 18 063015

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