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Volumn 74, Issue 4, 2006, Pages

Packing hyperspheres in high-dimensional Euclidean spaces

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CORRELATION METHODS; MOLECULAR STRUCTURE; NUCLEATION; RANDOM PROCESSES; STATE SPACE METHODS;

EID: 33750548448     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.041127     Document Type: Article
Times cited : (354)

References (55)
  • 2
    • 41349083509 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.66.041109
    • A. R. Kansal, S. Torquato, and F. H. Stillinger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.041109 66, 041109 (2002).
    • (2002) Phys. Rev. E , vol.66 , pp. 041109
    • Kansal, A.R.1    Torquato, S.2    Stillinger, F.H.3
  • 3
    • 37649027929 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.71.011105
    • A. Donev, S. Torquato, and F. H. Stillinger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.011105 71, 011105 (2005a).
    • (2005) Phys. Rev. E , vol.71 , pp. 011105
    • Donev, A.1    Torquato, S.2    Stillinger, F.H.3
  • 4
    • 27144516747 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.95.090604
    • A. Donev, F. H. Stillinger, and S. Torquato, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.090604 95, 090604 (2005b).
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 090604
    • Donev, A.1    Stillinger, F.H.2    Torquato, S.3
  • 5
    • 0030284903 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.77.4198
    • M. D. Rintoul and S. Torquato, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.4198 77, 4198 (1996).
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 4198
    • Rintoul, M.D.1    Torquato, S.2
  • 6
    • 33744810894 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.96.225502
    • A. Donev, F. H. Stillinger, and S. Torquato, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.225502 96, 225502 (2006).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 225502
    • Donev, A.1    Stillinger, F.H.2    Torquato, S.3
  • 8
    • 23344435627 scopus 로고
    • JAPIAU 0021-8979 10.1063/1.1661585
    • C. H. Bennett, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1661585 43, 2727 (1972).
    • (1972) J. Appl. Phys. , vol.43 , pp. 2727
    • Bennett, C.H.1
  • 9
    • 36549096155 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.454542
    • J. Tobochnik and P. M. Chapin, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.454542 88, 5824 (1988).
    • (1988) J. Chem. Phys. , vol.88 , pp. 5824
    • Tobochnik, J.1    Chapin, P.M.2
  • 10
    • 0000888353 scopus 로고
    • JCTPAH 0021-9991 10.1006/jcph.1994.1168
    • A. Z. Zinchenko, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1994.1168 114, 298 (1994).
    • (1994) J. Comput. Phys. , vol.114 , pp. 298
    • Zinchenko, A.Z.1
  • 11
    • 27944442767 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.71.061306
    • N. Xu, J. Blawzdziewicz, and C. S. O'Hern, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.061306 71, 061306 (2005).
    • (2005) Phys. Rev. E , vol.71 , pp. 061306
    • Xu, N.1    Blawzdziewicz, J.2    O'Hern, C.S.3
  • 13
    • 36749119306 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.443316
    • M. Luban and A. Baram, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.443316 76, 3233 (1982).
    • (1982) J. Chem. Phys. , vol.76 , pp. 3233
    • Luban, M.1    Baram, A.2
  • 14
    • 0001405448 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.444104
    • C. J. Joslin, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.444104 77, 2701 (1982).
    • (1982) J. Chem. Phys. , vol.77 , pp. 2701
    • Joslin, C.J.1
  • 15
    • 0000480541 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.41.6796
    • M. Luban and J. P. J. Michels, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.41.6796 41, 6796 (1990).
    • (1990) Phys. Rev. A , vol.41 , pp. 6796
    • Luban, M.1    Michels, J.P.J.2
  • 19
    • 22844447950 scopus 로고    scopus 로고
    • JCPSA6 0021-9606 10.1063/1.1874793
    • M. Bishop and P. A. Whitlock, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1874793 123, 014507 (2005).
    • (2005) J. Chem. Phys. , vol.123 , pp. 014507
    • Bishop, M.1    Whitlock, P.A.2
  • 20
    • 2942626289 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1023/B:JOSS.0000013959.30878.d2
    • N. Clisby and B. McCoy, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000013959.30878.d2 114, 1343 (2004);
    • (2004) J. Stat. Phys. , vol.114 , pp. 1343
    • Clisby, N.1    McCoy, B.2
  • 21
    • 2942526039 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1023/B:JOSS.0000013960.83555.7d
    • N. Clisby and B. McCoy, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000013960.83555.7d 114, 1361 (2004);
    • (2004) J. Stat. Phys. , vol.114 , pp. 1361
    • Clisby, N.1    McCoy, B.2
  • 22
    • 33644556512 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1007/s10955-005-8080-0
    • N. Clisby and B. McCoy, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-005-8080-0 122, 15 (2006);
    • (2006) J. Stat. Phys. , vol.122 , pp. 15
    • Clisby, N.1    McCoy, B.2
  • 23
  • 24
    • 21644489536 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1007/s10955-005-3020-6
    • I. Lyberg, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-005-3020-6 119, 747 (2005).
    • (2005) J. Stat. Phys. , vol.119 , pp. 747
    • Lyberg, I.1
  • 25
    • 33644556512 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1007/s10955-005-8080-0
    • N. Clisby and B. McCoy, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-005-8080-0 122, 15 (2006).
    • (2006) J. Stat. Phys. , vol.122 , pp. 15
    • Clisby, N.1    McCoy, B.2
  • 26
    • 0001363431 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.60.2942
    • H. L. Frisch and J. K. Percus, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.2942 60, 2942 (1999).
    • (1999) Phys. Rev. E , vol.60 , pp. 2942
    • Frisch, H.L.1    Percus, J.K.2
  • 27
    • 0034316993 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.62.6554
    • G. Parisi and F. Slanina, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.6554 62, 6554 (2000).
    • (2000) Phys. Rev. E , vol.62 , pp. 6554
    • Parisi, G.1    Slanina, F.2
  • 28
    • 41349104843 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.65.016108
    • R. Finken, M. Schmidt, and H. Lowen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.016108 65, 016108 (2001).
    • (2001) Phys. Rev. E , vol.65 , pp. 016108
    • Finken, R.1    Schmidt, M.2    Lowen, H.3
  • 30
    • 0037433105 scopus 로고    scopus 로고
    • CPEAEH 0927-7757 10.1016/S0927-7757(02)00510-1
    • A. P. Philipse, Colloids Surf., A CPEAEH 0927-7757 10.1016/S0927-7757(02) 00510-1 213, 167 (2003).
    • (2003) Colloids Surf., A , vol.213 , pp. 167
    • Philipse, A.P.1
  • 31
    • 0346304806 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.68.041113
    • S. Torquato and F. H. Stillinger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.041113 68, 041113 (2003).
    • (2003) Phys. Rev. E , vol.68 , pp. 041113
    • Torquato, S.1    Stillinger, F.H.2
  • 34
    • 33644883967 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.73.031106
    • S. Torquato and F. H. Stillinger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.031106 73, 031106 (2006).
    • (2006) Phys. Rev. E , vol.73 , pp. 031106
    • Torquato, S.1    Stillinger, F.H.2
  • 37
    • 22944460290 scopus 로고    scopus 로고
    • JCPSA6 0021-9606 10.1063/1.1834498
    • L. Lue, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1834498 122, 044513 (2005).
    • (2005) J. Chem. Phys. , vol.122 , pp. 044513
    • Lue, L.1
  • 38
    • 22944476755 scopus 로고    scopus 로고
    • JCPSA6 0021-9606 10.1063/1.1848091
    • M. Bishop, P. Whitlock, and D. Klein, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1848091 122, 074508 (2005).
    • (2005) J. Chem. Phys. , vol.122 , pp. 074508
    • Bishop, M.1    Whitlock, P.2    Klein, D.3
  • 39
    • 0001171026 scopus 로고
    • PYLAAG 0375-9601 10.1016/0375-9601(84)90749-7
    • J. P. J. Michels and N. J. Trappaniers, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(84)90749-7 104A, 425 (1984).
    • (1984) Phys. Lett. , vol.104 , pp. 425
    • Michels, J.P.J.1    Trappaniers, N.J.2
  • 40
    • 22044441063 scopus 로고    scopus 로고
    • ANMAAH 0003-486X
    • T. C. Hales, Ann. Math. ANMAAH 0003-486X 162, 1065 (2005);
    • (2005) Ann. Math. , vol.162 , pp. 1065
    • Hales, T.C.1
  • 41
    • 33750564891 scopus 로고    scopus 로고
    • math.MG/9811078.
    • see also T. C. Hales, e-print math.MG/9811078.
    • Hales, T.C.1
  • 42
    • 33750560563 scopus 로고    scopus 로고
    • O. Musin, Technical Report, Moscow State University, 2004 (unpublished).
    • (2004)
    • Musin, O.1
  • 44
    • 0035969728 scopus 로고    scopus 로고
    • JPCBFK 1089-5647 10.1021/jp011960q
    • S. Torquato and F. H. Stillinger, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp011960q 105, 11849 (2001).
    • (2001) J. Phys. Chem. B , vol.105 , pp. 11849
    • Torquato, S.1    Stillinger, F.H.2
  • 49
    • 5544276686 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.16.1077
    • M. Ross and B. J. Alder, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.16.1077 16, 1077 (1966).
    • (1966) Phys. Rev. Lett. , vol.16 , pp. 1077
    • Ross, M.1    Alder, B.J.2
  • 52
    • 0011292299 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.1733163
    • Z. W. Salsburg and W. W. Wood, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1733163 37, 798 (1962).
    • (1962) J. Chem. Phys. , vol.37 , pp. 798
    • Salsburg, Z.W.1    Wood, W.W.2
  • 53
    • 0001414428 scopus 로고    scopus 로고
    • JCOMEL 0953-8984 10.1088/0953-8984/10/20/006
    • R. J. Speedy, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/10/20/006 10, 4387 (1998).
    • (1998) J. Phys.: Condens. Matter , vol.10 , pp. 4387
    • Speedy, R.J.1
  • 54
    • 0042393482 scopus 로고    scopus 로고
    • edited by M. E. Cates and M. R. Evans (Institute of Physics Publishing, London
    • P. M. Chaikin, Soft and Fragile Matter, Nonequilibrium Dynamics, Metastability and Flow, edited by, M. E. Cates, and, M. R. Evans, (Institute of Physics Publishing, London, 2000), Chap. Thermodynamics and Hydrodynamics of Hard Spheres; the role of gravity, pp. 315-348.
    • (2000) Soft and Fragile Matter, Nonequilibrium Dynamics, Metastability and Flow , pp. 315-348
    • Chaikin, P.M.1
  • 55
    • 33750555460 scopus 로고    scopus 로고
    • http://cherrypit.princeton.edu/Packing/C++/.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.