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A summary of soft matter theories

Wu Chen-Xu Yan Da-Dong Xing Xiang-Jun Hou Mei-Ying

A summary of soft matter theories

Wu Chen-Xu, Yan Da-Dong, Xing Xiang-Jun, Hou Mei-Ying
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  • This paper summarizes some theories widely used in soft matter systems, such as elastic theory, phase transition theory, scaling law, theory of granular particles, self-consistent field theory, etc. The role entropy plays in softmatter systems is also discussed. Other dynamic theories like adhesion, diffusion, wave motion, etc. are not included here.
    [1]

    Landau L D, Lifshitz E M 2013 Statistical Physics (New Delhi: Addison-Wesley)

    [2]

    Helfrich W 1973 Z. Naturforsch. C 28 693

    [3]

    de Gennes P G 1969 Phys. Lett. A 30 454

    [4]

    de Gennes P G 1969 J. Phys. (Paris) 30 C4

    [5]

    Maier W, Saupe A 1958 Z. Naturforsch A 13 564

    [6]

    Maier W, Saupe A 1959 Z. Naturforsch A 14 882

    [7]

    Maier W, Saupe A 1960 Z. Naturforsch A 15 287

    [8]

    Kaplan J I, Drauglis E 1971 Chem. Phys. Lett. 9 645

    [9]

    Chandrasekhar S, Madhusudana N V 1970 Mol. Cryst. Liq. Cryst. 10 151

    [10]

    Onsager L 1949 Ann. NY Acad. Sci. 51 627

    [11]

    Straley J P 1973 Phys. Rev. A 5 2181

    [12]

    Straley J P 1973 Mol. Cryst. Liq. Cryst. 22 333

    [13]

    Zocher H 1933 Trans. Faraday Soc. 29 945

    [14]

    Oseen C W 1933 Trans. Faraday Soc. 29 883

    [15]

    Frank F C 1958 Discuss. Faraday Soc. 25 19

    [16]

    Fredericksz V, Zona V 1931 Z. Krisrallogr. 79 225

    [17]

    Smalyukh I I, Lansac Y, Clark N A, Trivedi R P 2010 Nature Mater 9 1392010

    [18]

    Poulin P, Stark H, Lubensky T C, Weitz D A 1997 Science 275 1770

    [19]

    Terentjev E M 1995 Phys. Rev. E 51 1330

    [20]

    Ravnik M, Zǔmer S 2009 Soft Matter 5 269

    [21]

    Dzyaloshinskii I E 1970 Sov. Phys. JETP 31 773

    [22]

    Friedel J, de Gennes P G 1969 C. R. Scad. Sci. B 268 257

    [23]

    Kleman M, Friedel J 1969 J. Phys. (Paris) 30 C4

    [24]

    Bouligand Y, Kleman M 1970 J. Phys. (Paris) 31 1041

    [25]

    Cladis P E 1972 Phys. Rev. Lett. 28 1629

    [26]

    Coleman S 1975 Phys. Rev. D 11 2088

    [27]

    Polyakov A M 1974 ZhETF Pis. Red. 20 430

    [28]

    Priest R G, Lubensky T C 1974 Phys. Rev. A 9 893

    [29]

    Harris A B, Kamien R D, Lubensky T C 1999 Rev. Mod. Phys. 71 1745

    [30]

    Dupuis A, Marenduzzo D, Yeomans J M 2005 Phys. Rev. E 71 011703

    [31]

    Peng H G, Zhou Z, Merlitz H, Wu C X 2016 Chem. Phys. Lett. 653 196

    [32]

    Helfrich W 1973 Zeitschrift fr Naturforschung C 28 693

    [33]

    Ouyang Z C, Helfrich W 1987 Phys. Rev. Lett. 59 2486

    [34]

    Ouyang Z C, Helfrich W 1989 Phys. Rev. A 39 5280

    [35]

    Bausch A R, Kroy K 2006 Nat. Phys. 2 231

    [36]

    Fletcher D A, Mullins R D 2010 Nature 463 485

    [37]

    Kratky O, Porod G 1949 Recl. Trav. Chim. 68 1106

    [38]

    Heussinger C, Bathe M, Frey E 2007 Phys. Rev. Lett. 99 048101

    [39]

    Taute K M, Pampaloni F, Frey E, Florin E L 2008 Phys. Rev. Lett. 100 028102

    [40]

    Edwards S F 1965 Proc. Phys. Soc. 85 613

    [41]

    Matsen M W, Schick M 1994 Phys. Rev. Lett. 72 2660

    [42]

    Fredrickson G H 2006 The Equilibrium Theory of Inhomogeneous Polymers (Oxford: Clarendon Press)

    [43]

    Lennon E M, Katsov K, Fredrickson G H 2008 Phys. Rev. Lett. 101 138302

    [44]

    Man X K, Delaney K, Villet M, Orland H, Fredrickson G H 2014 J. Chem. Phys. 140 024905

    [45]

    Villet M C, Fredrickson G H 2014 J. Chem. Phys. 141 224115

    [46]

    Izumi K, Laachi N, Man X, Delaney K T, Fredrickson G H 2014 Proc. SPIE 9049 904922

    [47]

    Izumi K, Laachi N, Delaney K T, Fredrickson G H 2015 J. Photopol. Sci. Technol. 28 689

    [48]

    Ginzburg V V, Weinhold J D, Hustad P D, Trefonas P, Kim B, Laachi N, Fredrickson G H 2015 Directed Self-Assembly of Block Copolymers for Nano-Manufacturing (in Grohheid R, Nealey P, Eds.) pp67-95 (Elsevier: Woodhead Publishing)

    [49]

    de Gennes P G 1979 Scaling Concepts in Polymer Physics (Ithaca: Cornell University Press)

    [50]

    Pakula T, Geyler S 1998 Macromolecules 21 1665

    [51]

    Brown S, Szamel G 1998 J. Chem. Phys. 109 6184

    [52]

    Muller M, Wittmer J P, Cates M E 2000 Phys. Rev. E 61 4078

    [53]

    Muller M, Wittmer J P, Barrat J L 2000 Europhys. Lett. 52 406

    [54]

    Vettorel T, Grosberg A Y, Kremer K 2009 Phys. Biol. 6 025013

    [55]

    Takano A 2007 Polm. Prepr. Jpn. 56 2424

    [56]

    Sakaue T 2011 Phys. Rev. Lett. 106 167802

    [57]

    Bagnold R A 1954 Proc. R. Soc. London Ser. A 225 49

    [58]

    Midi D R 2004 Eur. Phys. J. E 14 341

    [59]

    Jop P, Forterre Y, Pouliquen O 2006 Nature 441 727

    [60]

    Goyon J, Colin A, Ovarlez G, Ajdari A, Bocquet L 2008 Nature 454 84

    [61]

    Argon A S 1979 Acta. Met. 27 749

    [62]

    Bi D, Zhang J, Chakraborty B, Behringer R 2011 Nature 480 355

    [63]

    Jiang Y M, Liu M 2009 Granular Matter 11 139

    [64]

    Roscoe K H, Schofield A N, Wroch C P 1958 Geotechnique 8 22

    [65]

    Roscoe K H, Schofield A N, Thurairajah A 1963 Geotechnique 13 211

    [66]

    Roscoe K H, Barland T B 1968 (in Heyman J, Lechies F A, Engineering Plasticity (Cambridge: Cambridge University Press) pp535-609

    [67]

    Andelman D 1995 Handbook of Biological Physics 1 603

    [68]

    Han M, Xing X 2013 J. Statist. Phys. 151 1121

    [69]

    Tata B V R, Mohanty P S, Valsakumar M C 2008 Solid State Communications 147 360

    [70]

    Boroudjerdi H, Kim Y W, Naji A, Netz R R, Schlagberger X 2005 Serr A. Phys. Rep. 416 129

    [71]

    Wang Z G 2010 Phys. Rev. E 81 021501

    [72]

    Borukhov I, Andelman D, Orland H 1997 Phys. Rev. Lett. 79 435

    [73]

    Ding M, Liang Y, Lu B S, Xing X 2015 arXiv preprint arXiv: 1502 06687

    [74]

    Kunz W 2010 Current Opinion in Colloid and Interface Science 15 34

    [75]

    Hansen J P, McDonald I R 2013 Theory of Simple Liquids (New York: Academic Press)

    [76]

    Cai W 2013 Computational Methods for Electromagnetic Phenomena: Electrostatics in Solvations, Scattering, and Electron Transport (London: Cambridge University Press)

    [77]

    Lin Y, Baumketner A, Deng S, Xu Z, Jacobs D, Cai W 2009 J. Chem. Phys. 131 154103

    [78]

    Liang Y, Xu Z, Xing X 2015 New J. Phys. 17 083062

    [79]

    Greengard L, Vladimir R 1987 J. Comp. Phys 73 325

    [80]

    Tubiana L, Orlandini E, Micheletti C 2011 Phys. Rev. Lett. 107 188302

    [81]

    Grosberg A Y, Rabin Y, Havlin S, Neer A 1993 Europhys. Lett. 23 373

    [82]

    Lieberman-Aiden E, van Berkum N L, Williams L, Imakaev M et al. 2009 Science 326 289

    [83]

    Rosa A, Everaers R 2008 PloS Comput. Biol. 4 e1000153

    [84]

    Jun S, Muller B 2006 Proc. Natl. Acad. Sci. USA 103 12388

    [85]

    Arsuaga J, Vazquez M, McGuirk P, Trigueros S, Sumners D W, Roca J 2005 Proc. Natl. Acad. Sci. USA 102 9165

    [86]

    Marenduzzo D, Orlandinib E, Stasiakc A, Sumners D W, Michelettie C 2009 Proc. Natl. Acad. Sci. USA 106 22269

    [87]

    Micheletti C, Marenduzzo D, Orlandini E, Sumners D W 2006 J. Chem. Phys. 124 064903

    [88]

    Nepal M, Yaniv A, Shafran E, Krichevsky O 2013 Phys. Rev. Lett. 110 058102

    [89]

    Walter J C, Baiesi M, Barkema G T, Carlon E 2013 Phys. Rev. Lett. 110 068301

    [90]

    Zhulina E B, Vilgis T A 1995 Macromolecules 28 1008

    [91]

    Kroeger M, Peleg O, Halperin A 2010 Macromolecules 43 6213

    [92]

    Merlitz H, Wu C X, Sommer J U 2011 Macromolecules 44 7043

    [93]

    Polotsky A A, Gillich T, Borisov O V, Leermakers F A M, Textor M, Birstein T M 2010 Macromolecules 43 9555

    [94]

    Cui W, Su C, Wu C X, Merlitz H, Sommer J U 2013 J. Chem. Phys. 139 134910

    [95]

    Merlitz H, He G L, Wu C X, Sommer J U 2009 Phys. Rev. Lett. 102 115702

    [96]

    Edwards S F, Oakeshott R B S 1989 Physica A 157 1080

    [97]

    Falk M L, Langer J S 1998 Phys. Rev. E 57 7192

    [98]

    Hansen J P, Lowen H 2000 arXiv preprint cond-mat/0002295

  • [1]

    Landau L D, Lifshitz E M 2013 Statistical Physics (New Delhi: Addison-Wesley)

    [2]

    Helfrich W 1973 Z. Naturforsch. C 28 693

    [3]

    de Gennes P G 1969 Phys. Lett. A 30 454

    [4]

    de Gennes P G 1969 J. Phys. (Paris) 30 C4

    [5]

    Maier W, Saupe A 1958 Z. Naturforsch A 13 564

    [6]

    Maier W, Saupe A 1959 Z. Naturforsch A 14 882

    [7]

    Maier W, Saupe A 1960 Z. Naturforsch A 15 287

    [8]

    Kaplan J I, Drauglis E 1971 Chem. Phys. Lett. 9 645

    [9]

    Chandrasekhar S, Madhusudana N V 1970 Mol. Cryst. Liq. Cryst. 10 151

    [10]

    Onsager L 1949 Ann. NY Acad. Sci. 51 627

    [11]

    Straley J P 1973 Phys. Rev. A 5 2181

    [12]

    Straley J P 1973 Mol. Cryst. Liq. Cryst. 22 333

    [13]

    Zocher H 1933 Trans. Faraday Soc. 29 945

    [14]

    Oseen C W 1933 Trans. Faraday Soc. 29 883

    [15]

    Frank F C 1958 Discuss. Faraday Soc. 25 19

    [16]

    Fredericksz V, Zona V 1931 Z. Krisrallogr. 79 225

    [17]

    Smalyukh I I, Lansac Y, Clark N A, Trivedi R P 2010 Nature Mater 9 1392010

    [18]

    Poulin P, Stark H, Lubensky T C, Weitz D A 1997 Science 275 1770

    [19]

    Terentjev E M 1995 Phys. Rev. E 51 1330

    [20]

    Ravnik M, Zǔmer S 2009 Soft Matter 5 269

    [21]

    Dzyaloshinskii I E 1970 Sov. Phys. JETP 31 773

    [22]

    Friedel J, de Gennes P G 1969 C. R. Scad. Sci. B 268 257

    [23]

    Kleman M, Friedel J 1969 J. Phys. (Paris) 30 C4

    [24]

    Bouligand Y, Kleman M 1970 J. Phys. (Paris) 31 1041

    [25]

    Cladis P E 1972 Phys. Rev. Lett. 28 1629

    [26]

    Coleman S 1975 Phys. Rev. D 11 2088

    [27]

    Polyakov A M 1974 ZhETF Pis. Red. 20 430

    [28]

    Priest R G, Lubensky T C 1974 Phys. Rev. A 9 893

    [29]

    Harris A B, Kamien R D, Lubensky T C 1999 Rev. Mod. Phys. 71 1745

    [30]

    Dupuis A, Marenduzzo D, Yeomans J M 2005 Phys. Rev. E 71 011703

    [31]

    Peng H G, Zhou Z, Merlitz H, Wu C X 2016 Chem. Phys. Lett. 653 196

    [32]

    Helfrich W 1973 Zeitschrift fr Naturforschung C 28 693

    [33]

    Ouyang Z C, Helfrich W 1987 Phys. Rev. Lett. 59 2486

    [34]

    Ouyang Z C, Helfrich W 1989 Phys. Rev. A 39 5280

    [35]

    Bausch A R, Kroy K 2006 Nat. Phys. 2 231

    [36]

    Fletcher D A, Mullins R D 2010 Nature 463 485

    [37]

    Kratky O, Porod G 1949 Recl. Trav. Chim. 68 1106

    [38]

    Heussinger C, Bathe M, Frey E 2007 Phys. Rev. Lett. 99 048101

    [39]

    Taute K M, Pampaloni F, Frey E, Florin E L 2008 Phys. Rev. Lett. 100 028102

    [40]

    Edwards S F 1965 Proc. Phys. Soc. 85 613

    [41]

    Matsen M W, Schick M 1994 Phys. Rev. Lett. 72 2660

    [42]

    Fredrickson G H 2006 The Equilibrium Theory of Inhomogeneous Polymers (Oxford: Clarendon Press)

    [43]

    Lennon E M, Katsov K, Fredrickson G H 2008 Phys. Rev. Lett. 101 138302

    [44]

    Man X K, Delaney K, Villet M, Orland H, Fredrickson G H 2014 J. Chem. Phys. 140 024905

    [45]

    Villet M C, Fredrickson G H 2014 J. Chem. Phys. 141 224115

    [46]

    Izumi K, Laachi N, Man X, Delaney K T, Fredrickson G H 2014 Proc. SPIE 9049 904922

    [47]

    Izumi K, Laachi N, Delaney K T, Fredrickson G H 2015 J. Photopol. Sci. Technol. 28 689

    [48]

    Ginzburg V V, Weinhold J D, Hustad P D, Trefonas P, Kim B, Laachi N, Fredrickson G H 2015 Directed Self-Assembly of Block Copolymers for Nano-Manufacturing (in Grohheid R, Nealey P, Eds.) pp67-95 (Elsevier: Woodhead Publishing)

    [49]

    de Gennes P G 1979 Scaling Concepts in Polymer Physics (Ithaca: Cornell University Press)

    [50]

    Pakula T, Geyler S 1998 Macromolecules 21 1665

    [51]

    Brown S, Szamel G 1998 J. Chem. Phys. 109 6184

    [52]

    Muller M, Wittmer J P, Cates M E 2000 Phys. Rev. E 61 4078

    [53]

    Muller M, Wittmer J P, Barrat J L 2000 Europhys. Lett. 52 406

    [54]

    Vettorel T, Grosberg A Y, Kremer K 2009 Phys. Biol. 6 025013

    [55]

    Takano A 2007 Polm. Prepr. Jpn. 56 2424

    [56]

    Sakaue T 2011 Phys. Rev. Lett. 106 167802

    [57]

    Bagnold R A 1954 Proc. R. Soc. London Ser. A 225 49

    [58]

    Midi D R 2004 Eur. Phys. J. E 14 341

    [59]

    Jop P, Forterre Y, Pouliquen O 2006 Nature 441 727

    [60]

    Goyon J, Colin A, Ovarlez G, Ajdari A, Bocquet L 2008 Nature 454 84

    [61]

    Argon A S 1979 Acta. Met. 27 749

    [62]

    Bi D, Zhang J, Chakraborty B, Behringer R 2011 Nature 480 355

    [63]

    Jiang Y M, Liu M 2009 Granular Matter 11 139

    [64]

    Roscoe K H, Schofield A N, Wroch C P 1958 Geotechnique 8 22

    [65]

    Roscoe K H, Schofield A N, Thurairajah A 1963 Geotechnique 13 211

    [66]

    Roscoe K H, Barland T B 1968 (in Heyman J, Lechies F A, Engineering Plasticity (Cambridge: Cambridge University Press) pp535-609

    [67]

    Andelman D 1995 Handbook of Biological Physics 1 603

    [68]

    Han M, Xing X 2013 J. Statist. Phys. 151 1121

    [69]

    Tata B V R, Mohanty P S, Valsakumar M C 2008 Solid State Communications 147 360

    [70]

    Boroudjerdi H, Kim Y W, Naji A, Netz R R, Schlagberger X 2005 Serr A. Phys. Rep. 416 129

    [71]

    Wang Z G 2010 Phys. Rev. E 81 021501

    [72]

    Borukhov I, Andelman D, Orland H 1997 Phys. Rev. Lett. 79 435

    [73]

    Ding M, Liang Y, Lu B S, Xing X 2015 arXiv preprint arXiv: 1502 06687

    [74]

    Kunz W 2010 Current Opinion in Colloid and Interface Science 15 34

    [75]

    Hansen J P, McDonald I R 2013 Theory of Simple Liquids (New York: Academic Press)

    [76]

    Cai W 2013 Computational Methods for Electromagnetic Phenomena: Electrostatics in Solvations, Scattering, and Electron Transport (London: Cambridge University Press)

    [77]

    Lin Y, Baumketner A, Deng S, Xu Z, Jacobs D, Cai W 2009 J. Chem. Phys. 131 154103

    [78]

    Liang Y, Xu Z, Xing X 2015 New J. Phys. 17 083062

    [79]

    Greengard L, Vladimir R 1987 J. Comp. Phys 73 325

    [80]

    Tubiana L, Orlandini E, Micheletti C 2011 Phys. Rev. Lett. 107 188302

    [81]

    Grosberg A Y, Rabin Y, Havlin S, Neer A 1993 Europhys. Lett. 23 373

    [82]

    Lieberman-Aiden E, van Berkum N L, Williams L, Imakaev M et al. 2009 Science 326 289

    [83]

    Rosa A, Everaers R 2008 PloS Comput. Biol. 4 e1000153

    [84]

    Jun S, Muller B 2006 Proc. Natl. Acad. Sci. USA 103 12388

    [85]

    Arsuaga J, Vazquez M, McGuirk P, Trigueros S, Sumners D W, Roca J 2005 Proc. Natl. Acad. Sci. USA 102 9165

    [86]

    Marenduzzo D, Orlandinib E, Stasiakc A, Sumners D W, Michelettie C 2009 Proc. Natl. Acad. Sci. USA 106 22269

    [87]

    Micheletti C, Marenduzzo D, Orlandini E, Sumners D W 2006 J. Chem. Phys. 124 064903

    [88]

    Nepal M, Yaniv A, Shafran E, Krichevsky O 2013 Phys. Rev. Lett. 110 058102

    [89]

    Walter J C, Baiesi M, Barkema G T, Carlon E 2013 Phys. Rev. Lett. 110 068301

    [90]

    Zhulina E B, Vilgis T A 1995 Macromolecules 28 1008

    [91]

    Kroeger M, Peleg O, Halperin A 2010 Macromolecules 43 6213

    [92]

    Merlitz H, Wu C X, Sommer J U 2011 Macromolecules 44 7043

    [93]

    Polotsky A A, Gillich T, Borisov O V, Leermakers F A M, Textor M, Birstein T M 2010 Macromolecules 43 9555

    [94]

    Cui W, Su C, Wu C X, Merlitz H, Sommer J U 2013 J. Chem. Phys. 139 134910

    [95]

    Merlitz H, He G L, Wu C X, Sommer J U 2009 Phys. Rev. Lett. 102 115702

    [96]

    Edwards S F, Oakeshott R B S 1989 Physica A 157 1080

    [97]

    Falk M L, Langer J S 1998 Phys. Rev. E 57 7192

    [98]

    Hansen J P, Lowen H 2000 arXiv preprint cond-mat/0002295

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  • Received Date:  02 August 2016
  • Accepted Date:  26 August 2016
  • Published Online:  20 September 2016

A summary of soft matter theories

Abstract: This paper summarizes some theories widely used in soft matter systems, such as elastic theory, phase transition theory, scaling law, theory of granular particles, self-consistent field theory, etc. The role entropy plays in softmatter systems is also discussed. Other dynamic theories like adhesion, diffusion, wave motion, etc. are not included here.

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