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Volumn 85, Issue 5, 2012, Pages

Microstructural degeneracy associated with a two-point correlation function and its information content

Author keywords

[No Author keywords available]

Indexed keywords

AVERAGE ENERGY; CONFIGURATION SPACE; CONFIGURATIONAL ENTROPY; CORRELATION FUNCTION; ENERGY LANDSCAPE; ENERGY PROFILE; HYPERCUBE; INFORMATION CONTENTS; MICRO-STRUCTURAL; MONTE CARLO ALGORITHMS; POISSON POINT PROCESS; RECONSTRUCTION METHOD; RECONSTRUCTION PROBLEMS; TWO-POINT CORRELATION FUNCTION; VARIOUS DENSITIES;

EID: 84873899067     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.051140     Document Type: Article
Times cited : (79)

References (81)
  • 11
    • 0001202765 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.52.15122
    • A. Filipponi, A. DiCicco, and C. R. Natoli, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.52.15122 52, 15122 (1995).
    • (1995) Phys. Rev. B , vol.52 , pp. 15122
    • Filipponi, A.1    Dicicco, A.2    Natoli, C.R.3
  • 12
    • 0026433421 scopus 로고
    • SCIEAS 0036-8075 10.1126/science.2011737
    • J. M. Drake, J. Klafter, and P. Levitz, Science SCIEAS 0036-8075 10.1126/science.2011737 251, 1574 (1991).
    • (1991) Science , vol.251 , pp. 1574
    • Drake, J.M.1    Klafter, J.2    Levitz, P.3
  • 13
    • 0026556055 scopus 로고
    • SCIEAS 0036-8075 10.1126/science.255.5045.714
    • G. A. Barral, L. Frydman, and G. C. Chingas, Science SCIEAS 0036-8075 10.1126/science.255.5045.714 255, 714 (1992).
    • (1992) Science , vol.255 , pp. 714
    • Barral, G.A.1    Frydman, L.2    Chingas, G.C.3
  • 14
    • 34247261529 scopus 로고    scopus 로고
    • Multiscale image analysis of microcellular solids: Application to hybrid silica xerogels
    • DOI 10.1111/j.1365-2818.2007.01759.x
    • C. J. Gommes, J. P. Pirard, and S. Blacher, J. Microsc. JMICAR 0022-2720 10.1111/j.1365-2818.2007.01759.x 226, 156 (2007). (Pubitemid 46625277)
    • (2007) Journal of Microscopy , vol.226 , Issue.2 , pp. 156-162
    • Gommes, C.J.1    Pirard, J.-P.2    Blacher, S.3
  • 16
    • 0033001996 scopus 로고    scopus 로고
    • BIOJAU 0006-3495 10.1016/S0006-3495(99)77443-6
    • D. I. Svergun, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(99)77443-6 76, 2879 (1999).
    • (1999) Biophys. J. , vol.76 , pp. 2879
    • Svergun, D.I.1
  • 17
    • 0035010533 scopus 로고    scopus 로고
    • BIOJAU 0006-3495 10.1016/S0006-3495(01)76260-1
    • D. I. Svergun, M. V. Petoukhov, and M. H. J. Koch, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(01)76260-1 80, 2946 (2001).
    • (2001) Biophys. J. , vol.80 , pp. 2946
    • Svergun, D.I.1    Petoukhov, M.V.2    Koch, M.H.J.3
  • 20
    • 0000406612 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.65.195
    • A. L. Patterson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.65.195 65, 195 (1944).
    • (1944) Phys. Rev. , vol.65 , pp. 195
    • Patterson, A.L.1
  • 21
    • 0001410042 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.57.495
    • C. L. Y. Yeong and S. Torquato, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.57.495 57, 495 (1998).
    • (1998) Phys. Rev. e , vol.57 , pp. 495
    • Yeong, C.L.Y.1    Torquato, S.2
  • 22
    • 0033885932 scopus 로고    scopus 로고
    • Estimation of the influence of second- and third-order moments on random sets reconstructions
    • DOI 10.1016/S0031-3203(99)00166-1
    • A. Aubert and D. Jeulin, Pattern Recogn. PTNRA8 0031-3203 10.1016/S0031-3203(99)00166-1 33, 1083 (2000). (Pubitemid 30589466)
    • (2000) Pattern Recognition , vol.33 , Issue.6 , pp. 1083-1104
    • Aubert, A.1    Jeulin, D.2
  • 23
    • 0002163512 scopus 로고    scopus 로고
    • Generating microstructures with specified correlation functions
    • DOI 10.1063/1.1327609
    • N. Sheehan and S. Torquato, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1327609 89, 53 (2001). (Pubitemid 33703343)
    • (2001) Journal of Applied Physics , vol.89 , Issue.1 , pp. 53-60
    • Sheehan, N.1    Torquato, S.2
  • 26
    • 75349101703 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.81.011105
    • Y. Jiao, F. H. Stillinger, and S. Torquato, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.011105 81, 011105 (2010).
    • (2010) Phys. Rev. e , vol.81 , pp. 011105
    • Jiao, Y.1    Stillinger, F.H.2    Torquato, S.3
  • 27
    • 77954324670 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.82.011106
    • Y. Jiao, F. H. Stillinger, and S. Torquato, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.011106 82, 011106 (2010).
    • (2010) Phys. Rev. e , vol.82 , pp. 011106
    • Jiao, Y.1    Stillinger, F.H.2    Torquato, S.3
  • 28
    • 79958783393 scopus 로고    scopus 로고
    • 0021-9606 10.1063/1.3592709
    • L. Berthier and G. Tarjus, J. Chem. Phys. 0021-9606 10.1063/1.3592709 134, 214503 (2011).
    • (2011) J. Chem. Phys. , vol.134 , pp. 214503
    • Berthier, L.1    Tarjus, G.2
  • 30
    • 35949024461 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.28.4301
    • S. Ciccariello, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.28.4301 28, 4301 (1983).
    • (1983) Phys. Rev. B , vol.28 , pp. 4301
    • Ciccariello, S.1
  • 31
    • 0039224938 scopus 로고
    • NATUAS 0028-0836 10.1038/143939b0
    • A. L. Patterson, Nature (London) NATUAS 0028-0836 10.1038/143939b0 143, 939 (1939).
    • (1939) Nature (London) , vol.143 , pp. 939
    • Patterson, A.L.1
  • 32
    • 0022749569 scopus 로고
    • SCIEAS 0036-8075 10.1126/science.233.4760.178
    • H. Hauptman, Science SCIEAS 0036-8075 10.1126/science.233.4760.178 233, 178 (1986).
    • (1986) Science , vol.233 , pp. 178
    • Hauptman, H.1
  • 33
    • 0033964875 scopus 로고    scopus 로고
    • Every discrete, finite image is uniquely determined by its dipole histogram
    • DOI 10.1016/S0042-6989(99)00191-1, PII S0042698999001911
    • C. Chubb and J. I. Yellott, Vision Res. VISRAM 0042-6989 10.1016/S0042-6989(99)00191-1 40, 485 (2000). (Pubitemid 30069659)
    • (2000) Vision Research , vol.40 , Issue.5 , pp. 485-492
    • Chubb, C.1    Yellott, J.I.2
  • 34
    • 0035365435 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.63.066701
    • M. G. Rozman and M. Utz, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.63.066701 63, 066701 (2001).
    • (2001) Phys. Rev. e , vol.63 , pp. 066701
    • Rozman, M.G.1    Utz, M.2
  • 35
    • 0037163783 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.89.135501
    • M. G. Rozman and M. Utz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.135501 89, 135501 (2002).
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 135501
    • Rozman, M.G.1    Utz, M.2
  • 37
  • 39
    • 77957009094 scopus 로고    scopus 로고
    • 10.1146/annurev-matsci-070909-104517
    • S. Torquato, Annu. Rev. Mater. Res. 10.1146/annurev-matsci-070909-104517 40, 101 (2010).
    • (2010) Annu. Rev. Mater. Res. , vol.40 , pp. 101
    • Torquato, S.1
  • 40
    • 84857551270 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.108.080601
    • C. J. Gommes, Y. Jiao, and S. Torquato, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.080601 108, 080601 (2012).
    • (2012) Phys. Rev. Lett. , vol.108 , pp. 080601
    • Gommes, C.J.1    Jiao, Y.2    Torquato, S.3
  • 41
    • 26444479778 scopus 로고
    • SCIEAS 0036-8075 10.1126/science.220.4598.671
    • S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, Science SCIEAS 0036-8075 10.1126/science.220.4598.671 220, 671 (1983).
    • (1983) Science , vol.220 , pp. 671
    • Kirkpatrick, S.1    Gelatt, C.D.2    Vecchi, M.P.3
  • 43
    • 65449178003 scopus 로고    scopus 로고
    • JESOAN 0013-4651 10.1149/1.3106136
    • S. H. Kim and H. Pitsch, J. Electrochem. Soc. B JESOAN 0013-4651 10.1149/1.3106136 156, 673 (2009).
    • (2009) J. Electrochem. Soc. B , vol.156 , pp. 673
    • Kim, S.H.1    Pitsch, H.2
  • 44
    • 78751604415 scopus 로고    scopus 로고
    • AWREDI 0309-1708 10.1016/j.advwatres.2010.12.004
    • S. Schlueter and H.-J. Vogel, Adv. Water Resour. AWREDI 0309-1708 10.1016/j.advwatres.2010.12.004 34, 314 (2011).
    • (2011) Adv. Water Resour. , vol.34 , pp. 314
    • Schlueter, S.1    Vogel, H.-J.2
  • 45
    • 82155162366 scopus 로고    scopus 로고
    • JPSODZ 0378-7753 10.1016/j.jpowsour.2011.10.010
    • K. N. Grew and W. K. S. Chiu, J. Pow. Sources JPSODZ 0378-7753 10.1016/j.jpowsour.2011.10.010 199, 1 (2012).
    • (2012) J. Pow. Sources , vol.199 , pp. 1
    • Grew, K.N.1    Chiu, W.K.S.2
  • 47
    • 81555208988 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.84.056102
    • C. E. Zachary and S. Torquato, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.056102 84, 056102 (2011).
    • (2011) Phys. Rev. e , vol.84 , pp. 056102
    • Zachary, C.E.1    Torquato, S.2
  • 48
    • 78651365744 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.82.056109
    • S. Torquato, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.056109 82, 056109 (2010).
    • (2010) Phys. Rev. e , vol.82 , pp. 056109
    • Torquato, S.1
  • 50
    • 6644221271 scopus 로고    scopus 로고
    • Efficient, multiple-range random walk algorithm to calculate the density of states
    • DOI 10.1103/PhysRevLett.86.2050
    • F. G. Wang and D. P. Landau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2050 86, 2050 (2001). (Pubitemid 32254758)
    • (2001) Physical Review Letters , vol.86 , Issue.10 , pp. 2050-2053
    • Wang, F.1    Landau, D.P.2
  • 51
    • 39749147672 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.64.056101
    • F. G. Wang and D. P. Landau, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.64.056101 64, 056101 (2001).
    • (2001) Phys. Rev. e , vol.64 , pp. 056101
    • Wang, F.G.1    Landau, D.P.2
  • 55
    • 0035955573 scopus 로고    scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/34/42/305
    • C. Yamaguchi and Y. Okabe, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/42/305 34, 8781 (2001).
    • (2001) J. Phys. A , vol.34 , pp. 8781
    • Yamaguchi, C.1    Okabe, Y.2
  • 56
    • 0037156112 scopus 로고    scopus 로고
    • Monte Carlo simulation of proteins through a random walk in energy space
    • DOI 10.1063/1.1463059
    • N. Rathore and J. J. de Pablo, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1463059 116, 7225 (2002). (Pubitemid 34537101)
    • (2002) Journal of Chemical Physics , vol.116 , Issue.16 , pp. 7225-7230
    • Rathore, N.1    De Pablo, J.J.2
  • 59
    • 84871815902 scopus 로고    scopus 로고
    • See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevE.85.051140 for algorithmic and mathematical details, as well as for the list of microstructures used to generate Fig. 12.
    • Supplemental Material
  • 60
    • 0032552138 scopus 로고    scopus 로고
    • Archetypal energy landscapes
    • DOI 10.1038/29487
    • D. J. Wales, M. A. Miller, and T. R. Walsh, Nature (London) NATUAS 0028-0836 10.1038/29487 394, 758 (1998). (Pubitemid 28391634)
    • (1998) Nature , vol.394 , Issue.6695 , pp. 758-760
    • Wales, D.J.1    Miller, M.A.2    Walsh, T.R.3
  • 61
    • 0035826241 scopus 로고    scopus 로고
    • Supercooled liquids and the glass transition
    • DOI 10.1038/35065704
    • P. G. Debenedetti and F. H. Stillinger, Nature (London) NATUAS 0028-0836 10.1038/35065704 410, 259 (2001). (Pubitemid 32218700)
    • (2001) Nature , vol.410 , Issue.6825 , pp. 259-267
    • Debenedetti, P.G.1    Stillinger, F.H.2
  • 62
    • 0000682268 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.458827
    • B. L. Lu and S. Torquato, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.458827 93, 3452 (1990).
    • (1990) J. Chem. Phys. , vol.93 , pp. 3452
    • Lu, B.L.1    Torquato, S.2
  • 65
    • 0000377282 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.448475
    • S. Torquato and G. Stell, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.448475 82, 980 (1985).
    • (1985) J. Chem. Phys. , vol.82 , pp. 980
    • Torquato, S.1    Stell, G.2
  • 66
    • 0037701585 scopus 로고    scopus 로고
    • JACGAR 0021-8898 10.1107/S0021889803000268
    • V. V. Volkov and D. I. Svergun, J. Appl. Crystallogr. JACGAR 0021-8898 10.1107/S0021889803000268 36, 860 (2003).
    • (2003) J. Appl. Crystallogr. , vol.36 , pp. 860
    • Volkov, V.V.1    Svergun, D.I.2
  • 68
    • 83455210803 scopus 로고    scopus 로고
    • NATUAS 0028-0836 10.1038/480303a
    • E. S. Reich, Nature (London) NATUAS 0028-0836 10.1038/480303a 480, 303 (2011).
    • (2011) Nature (London) , vol.480 , pp. 303
    • Reich, E.S.1
  • 69
    • 84975608701 scopus 로고
    • 1084-7529 10.1364/JOSAA.10.000777
    • J. I. Yellott, J. Opt. Soc. Am. A 1084-7529 10.1364/JOSAA.10.000777 10, 777 (1993).
    • (1993) J. Opt. Soc. Am. A , vol.10 , pp. 777
    • Yellott, J.I.1
  • 70
    • 36749118378 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.444011
    • S. Torquato and G. Stell, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.444011 77, 2071 (1982).
    • (1982) J. Chem. Phys. , vol.77 , pp. 2071
    • Torquato, S.1    Stell, G.2
  • 71
    • 0005250890 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.445245
    • S. Torquato and G. Stell, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.445245 78, 3262 (1983).
    • (1983) J. Chem. Phys. , vol.78 , pp. 3262
    • Torquato, S.1    Stell, G.2
  • 73
    • 0000217457 scopus 로고
    • JACGAR 0021-8898 10.1107/S0021889868005212
    • J. Méring and D. Tchoubar, J. Appl. Crystallogr. JACGAR 0021-8898 10.1107/S0021889868005212 1, 153 (1968).
    • (1968) J. Appl. Crystallogr. , vol.1 , pp. 153
    • Méring, J.1    Tchoubar, D.2
  • 74
    • 26744437076 scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.47.2950
    • S. Torquato and B. Lu, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.47. 2950 47, 2950 (1993).
    • (1993) Phys. Rev. e , vol.47 , pp. 2950
    • Torquato, S.1    Lu, B.2
  • 75
    • 33750316398 scopus 로고    scopus 로고
    • Necessary conditions on realizable two-point correlation functions of random media
    • DOI 10.1021/ie058082t
    • S. Torquato, Ind. Eng. Chem. Res. IECRED 0888-5885 10.1021/ie058082t 45, 6923 (2006). (Pubitemid 44619862)
    • (2006) Industrial and Engineering Chemistry Research , vol.45 , Issue.21 , pp. 6923-6928
    • Torquato, S.1
  • 78
    • 0000072605 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.53.2477
    • D. Levine and P. J. Steinhardt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.53.2477 53, 2477 (1984).
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 2477
    • Levine, D.1    Steinhardt, P.J.2
  • 79
    • 3142782241 scopus 로고    scopus 로고
    • Quantifying the roughness on the free energy landscape: Entropic bottlenecks and protein folding rates
    • DOI 10.1021/ja049510+
    • L. L. Chavez, J. N. Onuchic, and C. Clementi, J. Am. Chem. Soc. JACSAT 0002-7863 10.1021/ja049510+ 126, 8426 (2004). (Pubitemid 38917965)
    • (2004) Journal of the American Chemical Society , vol.126 , Issue.27 , pp. 8426-8432
    • Chavez, L.L.1    Onuchic, J.N.2    Clementi, C.3
  • 80
    • 77956911570 scopus 로고    scopus 로고
    • JCPSA6 0021-9606 10.1063/1.3483790
    • J. Puibasset, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3483790 133, 104701 (2010).
    • (2010) J. Chem. Phys. , vol.133 , pp. 104701
    • Puibasset, J.1
  • 81
    • 84858773489 scopus 로고    scopus 로고
    • LANGD5 0743-7463 10.1021/la2051228
    • C. J. Gommes, Langmuir LANGD5 0743-7463 10.1021/la2051228 28, 5101 (2012).
    • (2012) Langmuir , vol.28 , pp. 5101
    • Gommes, C.J.1


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