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Volumn 85, Issue 5, 2012, Pages

Structure of finite sphere packings via exact enumeration: Implications for colloidal crystal nucleation

Author keywords

[No Author keywords available]

Indexed keywords

BULK CRYSTALS; CLASSICAL NUCLEATION THEORY; CLASSICAL THEORY; COLLOIDAL CRYSTALS; EXACT ENUMERATION; FINITE SPHERES; GEOMETRIC STRUCTURE; HARD-SPHERE SYSTEM; HYPERSTATICITY; LOCAL STRUCTURE; SPHERE PACKINGS; SYMMETRIC STRUCTURES;

EID: 84861923130     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.051403     Document Type: Article
Times cited : (45)

References (69)
  • 1
    • 22044441063 scopus 로고    scopus 로고
    • ANMAAH 0003-486X 10.4007/annals.2005.162.1065
    • T. C. Hales, Ann. Math. ANMAAH 0003-486X 10.4007/annals.2005.162.1065 162, 1065 (1998).
    • (1998) Ann. Math. , vol.162 , pp. 1065
    • Hales, T.C.1
  • 2
    • 0000998189 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.27.1053
    • J. G. Berryman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.27.1053 27, 1053 (1983).
    • (1983) Phys. Rev. A , vol.27 , pp. 1053
    • Berryman, J.G.1
  • 3
    • 0000266047 scopus 로고    scopus 로고
    • JCPSA6 0021-9606 10.1063/1.473004
    • M. D. Rintoul and S. Torquato, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.473004 105, 9258 (1996).
    • (1996) J. Chem. Phys. , vol.105 , pp. 9258
    • Rintoul, M.D.1    Torquato, S.2
  • 6
    • 78650713075 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.82.2633
    • S. Torquato and F. H. Stillinger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.2633 82, 2633 (2010).
    • (2010) Rev. Mod. Phys. , vol.82 , pp. 2633
    • Torquato, S.1    Stillinger, F.H.2
  • 10
    • 36248948359 scopus 로고
    • NATUAS 0028-0836 10.1038/029186a0
    • W. Barlow, Nature (London) NATUAS 0028-0836 10.1038/029186a0 29, 186 (1883).
    • (1883) Nature (London) , vol.29 , pp. 186
    • Barlow, W.1
  • 12
    • 0037471157 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.90.085702
    • B. O'Malley and I. Snook, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.085702 90, 085702 (2003).
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 085702
    • O'Malley, B.1    Snook, I.2
  • 18
    • 1842443226 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.90.135702
    • M. A. Miller and D. Frenkel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.135702 90, 135702 (2003);
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 135702
    • Miller, M.A.1    Frenkel, D.2
  • 20
    • 34249111938 scopus 로고    scopus 로고
    • Gas-solid coexistence of adhesive spheres
    • DOI 10.1063/1.2737051
    • P. Charbonneau and D. Frenkel, J. Chem. Phys. 0021-9606 10.1063/1.2737051 126, 196101 (2007). (Pubitemid 46794154)
    • (2007) Journal of Chemical Physics , vol.126 , Issue.19 , pp. 196101
    • Charbonneau, P.1    Frenkel, D.2
  • 21
    • 0035931881 scopus 로고    scopus 로고
    • Prediction of absolute crystal-nucleation rate in hard-sphere colloids
    • DOI 10.1038/35059035
    • S. Auer and D. Frenkel, Nature (London) NATUAS 0028-0836 10.1038/35059035 409, 1020 (2001); (Pubitemid 32204049)
    • (2001) Nature , vol.409 , Issue.6823 , pp. 1020-1023
    • Auer, S.1    Frenkel, D.2
  • 22
    • 1842516321 scopus 로고    scopus 로고
    • 0066-426X 10.1146/annurev.physchem.55.091602.094402
    • S. Auer and D. Frenkel, Annu. Rev. Phys. Chem. 0066-426X 10.1146/annurev.physchem.55.091602.094402 55, 333 (2004).
    • (2004) Annu. Rev. Phys. Chem. , vol.55 , pp. 333
    • Auer, S.1    Frenkel, D.2
  • 23
    • 34548264638 scopus 로고    scopus 로고
    • "Sticky" hard spheres: Equation of state, phase diagram, and metastable gels
    • DOI 10.1103/PhysRevLett.99.098301
    • S. Buzzaccaro, R. Rusconi, and R. Piazza, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.098301 99, 098301 (2007). (Pubitemid 47331123)
    • (2007) Physical Review Letters , vol.99 , Issue.9 , pp. 098301
    • Buzzaccaro, S.1    Rusconi, R.2    Piazza, R.3
  • 24
    • 75749145004 scopus 로고    scopus 로고
    • SCIEAS 0036-8075 10.1126/science.1184457
    • J. C. Crocker, Science SCIEAS 0036-8075 10.1126/science.1184457 327, 535 (2010).
    • (2010) Science , vol.327 , pp. 535
    • Crocker, J.C.1
  • 26
    • 70349140858 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.103.118303
    • N. Arkus, V. N. Manoharan, and M. P. Brenner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.118303 103, 118303 (2009).
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 118303
    • Arkus, N.1    Manoharan, V.N.2    Brenner, M.P.3
  • 27
    • 33845544986 scopus 로고
    • NATUAS 0028-0836 10.1038/188910a0
    • J. D. Bernal, Nature (London) NATUAS 0028-0836 10.1038/188910a0 188, 910 (1960).
    • (1960) Nature (London) , vol.188 , pp. 910
    • Bernal, J.D.1
  • 31
    • 0000375993 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF01030007
    • G. Stell, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01030007 63, 1203 (1991).
    • (1991) J. Stat. Phys. , vol.63 , pp. 1203
    • Stell, G.1
  • 32
    • 78651270978 scopus 로고    scopus 로고
    • JCPSA6 0021-9606 10.1063/1.3528226
    • H. Hansen-Goos and J. S. Wettlaufer, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3528226 134, 014506 (2011).
    • (2011) J. Chem. Phys. , vol.134 , pp. 014506
    • Hansen-Goos, H.1    Wettlaufer, J.S.2
  • 35
    • 0017429069 scopus 로고
    • ABPBBK 0084-6589 10.1146/annurev.bb.06.060177.001055
    • F. M. Richards, Ann. Rev. Biophys. Bioeng. ABPBBK 0084-6589 10.1146/annurev.bb.06.060177.001055 6, 151 (1977).
    • (1977) Ann. Rev. Biophys. Bioeng. , vol.6 , pp. 151
    • Richards, F.M.1
  • 36
    • 0030806177 scopus 로고    scopus 로고
    • Enhancement of protein crystal nucleation by critical density fluctuations
    • DOI 10.1126/science.277.5334.1975
    • P. R. ten Wolde and D. Frenkel, Science SCIEAS 0036-8075 10.1126/science.277.5334.1975 277, 1975 (1997). (Pubitemid 27449135)
    • (1997) Science , vol.277 , Issue.5334 , pp. 1975-1978
    • Ten Wolde, P.R.1    Frenkel, D.2
  • 38
    • 0001336166 scopus 로고
    • IETTAW 0018-9448 10.1109/TIT.1962.1057714
    • S. Johnson, IRE Trans. Inform. Theory IETTAW 0018-9448 10.1109/TIT.1962.1057714 8, 203 (1962).
    • (1962) IRE Trans. Inform. Theory , vol.8 , pp. 203
    • Johnson, S.1
  • 39
    • 0000314230 scopus 로고
    • AMMYAE 0002-9890 10.2307/2305092
    • P. Erdos, Am. Math. Mon. AMMYAE 0002-9890 10.2307/2305092 53, 248 (1946).
    • (1946) Am. Math. Mon. , vol.53 , pp. 248
    • Erdos, P.1
  • 41
    • 77955311918 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.105.068001
    • R. S. Hoy and C. S. O'Hern, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.068001 105, 068001 (2010).
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 068001
    • Hoy, R.S.1    O'Hern, C.S.2
  • 42
    • 11344259128 scopus 로고
    • SCIEAS 0036-8075 10.1126/science.267.5206.1935
    • F. H. Stillinger, Science SCIEAS 0036-8075 10.1126/science.267.5206.1935 267, 1935 (1995).
    • (1995) Science , vol.267 , pp. 1935
    • Stillinger, F.H.1
  • 43
    • 77955910647 scopus 로고    scopus 로고
    • CPCHFT 1439-4235 10.1002/cphc.201000233
    • D. J. Wales, Chem. Phys. Chem. CPCHFT 1439-4235 10.1002/cphc.201000233 11, 2491 (2010);
    • (2010) Chem. Phys. Chem. , vol.11 , pp. 2491
    • Wales, D.J.1
  • 44
  • 45
    • 5344260309 scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.48.4599
    • S. B. Yuste and A. Santos, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.48.4599 48, 4599 (1993).
    • (1993) Phys. Rev. e , vol.48 , pp. 4599
    • Yuste, S.B.1    Santos, A.2
  • 46
    • 36849104120 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.1670482
    • R. J. Baxter, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1670482 49, 2770 (1968).
    • (1968) J. Chem. Phys. , vol.49 , pp. 2770
    • Baxter, R.J.1
  • 47
    • 0000785338 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.75.4051
    • D. J. Jacobs and M. F. Thorpe, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.4051 75, 4051 (1995).
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 4051
    • Jacobs, D.J.1    Thorpe, M.F.2
  • 49
    • 0036253959 scopus 로고    scopus 로고
    • Statistical mechanics of classical systems with distinguishable particles
    • DOI 10.1023/A:1015161825292
    • R. H. Swendsen, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1015161825292 107, 1143 (2002). (Pubitemid 37133818)
    • (2002) Journal of Statistical Physics , vol.107 , Issue.5-6 , pp. 1143-1166
    • Swendsen, R.H.1
  • 51
    • 84861942216 scopus 로고    scopus 로고
    • Ph.D. thesis Charles University in Prague
    • P. Hliněný, Ph.D. thesis, Charles University in Prague, 2000.
    • (2000)
    • Hliněný, P.1
  • 54
    • 84861955078 scopus 로고    scopus 로고
    • ABC Rotational ConstantCalculator
    • T. W. Shattuck, ABC Rotational ConstantCalculator, [http://www.colby.edu/ chemistry/PChem/scripts/ABC.html].
    • Shattuck, T.W.1
  • 56
    • 4243492437 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.25.978
    • F. H. Stillinger and T. A. Weber, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.25.978 25, 978 (1982).
    • (1982) Phys. Rev. A , vol.25 , pp. 978
    • Stillinger, F.H.1    Weber, T.A.2
  • 57
    • 73649127976 scopus 로고    scopus 로고
    • It has been demonstrated for bidisperse 2D disk packings;, 1539-3755 10.1103/PhysRevE.80.061303
    • It has been demonstrated for bidisperse 2D disk packings; G.-J. Gao, J. Blawzdziewicz, and C. S. O'Hern, Phys. Rev. E 1539-3755 10.1103/PhysRevE.80. 061303 80, 061303 (2009).
    • (2009) Phys. Rev. e , vol.80 , pp. 061303
    • Gao, G.-J.1    Blawzdziewicz, J.2    O'Hern, C.S.3
  • 58
    • 0018530220 scopus 로고
    • Topology of covalent non-crystalline solids - 1. Short-range order in chalcogenide alloys
    • DOI 10.1016/0022-3093(79)90033-4
    • J. C. Phillips, J. Non-Cryst. Solids JNCSBJ 0022-3093 10.1016/0022-3093(79)90033-4 34, 153 (1979); (Pubitemid 10432398)
    • (1979) Journal of Non-Crystalline Solids , vol.34 , Issue.2 , pp. 153-181
    • Phillips, J.C.1
  • 59
    • 0021093473 scopus 로고
    • Continuous deformations in random networks
    • DOI 10.1016/0022-3093(83)90424-6
    • M. F. Thorpe, J. Non-Cryst. Solids 0022-3093 10.1016/0022-3093(83)90424-6 57, 355 (1983). (Pubitemid 14466062)
    • (1983) Journal of Non-Crystalline Solids , vol.57 , Issue.3 , pp. 355-370
    • Thorpe, M.F.1
  • 61
    • 84861954696 scopus 로고    scopus 로고
    • Adjacency matrices Ā and particle coordinates r - for all nonisomorphic packings reported here, as well as adjacency matrices for the implicit-contact graphs discussed in Appendix C, are available for download at
    • Adjacency matrices A ̄ and particle coordinates r - for all nonisomorphic packings reported here, as well as adjacency matrices for the implicit-contact graphs discussed in Appendix C, are available for download at [http://jamming.research.yale.edu/data.html].
  • 62
    • 33745149322 scopus 로고    scopus 로고
    • Perturbed-chain equation of state for the solid phase
    • DOI 10.1063/1.2203633
    • T. W. Cochran and Y. C. Chiew, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2203633 124, 224901 (2006). (Pubitemid 43898587)
    • (2006) Journal of Chemical Physics , vol.124 , Issue.22 , pp. 224901
    • Cochran, T.W.1    Chiew, Y.C.2
  • 63
    • 79958192458 scopus 로고    scopus 로고
    • JPCBFK 1520-6106 10.1021/jp109365q
    • C. P. Royall and S. R. Williams, J. Phys. Chem. B JPCBFK 1520-6106 10.1021/jp109365q 115, 7288 (2011).
    • (2011) J. Phys. Chem. B , vol.115 , pp. 7288
    • Royall, C.P.1    Williams, S.R.2
  • 65
    • 0343764928 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.1723631
    • J. E. Mayer, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1723631 10, 629 (1942).
    • (1942) J. Chem. Phys. , vol.10 , pp. 629
    • Mayer, J.E.1
  • 66
    • 84855451713 scopus 로고    scopus 로고
    • 1744-683X 10.1039/c1sm05741c
    • R. S. Hoy and C. S. O'Hern, Soft Matter 1744-683X 10.1039/c1sm05741c 8, 1215 (2012).
    • (2012) Soft Matter , vol.8 , pp. 1215
    • Hoy, R.S.1    O'Hern, C.S.2
  • 67
    • 77957122238 scopus 로고    scopus 로고
    • JCOMEL 0953-8984 10.1088/0953-8984/22/36/364106
    • P. Harrowell, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/22/36/364106 22, 1 (2010).
    • (2010) J. Phys.: Condens. Matter , vol.22 , pp. 1
    • Harrowell, P.1
  • 68
    • 33746012315 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.1744102
    • J. W. Cahn and J. E. Hilliard, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1744102 28, 258 (1958);
    • (1958) J. Chem. Phys. , vol.28 , pp. 258
    • Cahn, J.W.1    Hilliard, J.E.2


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