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Volumn 87, Issue 4, 2013, Pages

Hard-disk equation of state: First-order liquid-hexatic transition in two dimensions with three simulation methods

Author keywords

[No Author keywords available]

Indexed keywords

CONFIGURATION SPACE; INDIVIDUAL CONFIGURATION; MASSIVELY PARALLELS; MELTING PHASE TRANSITION; MELTING TRANSITIONS; MONTE CARLO ALGORITHMS; ORIENTATIONAL ORDER PARAMETERS; RELATIVE PERFORMANCE;

EID: 84877744022     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.87.042134     Document Type: Article
Times cited : (278)

References (43)
  • 2
    • 34548717559 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.1743957
    • B. J. Alder and T. E. Wainwright, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1743957 27, 1208 (1957).
    • (1957) J. Chem. Phys. , vol.27 , pp. 1208
    • Alder, B.J.1    Wainwright, T.E.2
  • 3
    • 36149015046 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.127.359
    • B. J. Alder and T. E. Wainwright, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.127.359 127, 359 (1962).
    • (1962) Phys. Rev. , vol.127 , pp. 359
    • Alder, B.J.1    Wainwright, T.E.2
  • 4
    • 35949014660 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.60.161
    • K. J. Strandburg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.60. 161 60, 161 (1988).
    • (1988) Rev. Mod. Phys. , vol.60 , pp. 161
    • Strandburg, K.J.1
  • 5
    • 0033235343 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.71.1737
    • J. G. Dash, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.1737 71, 1737 (1999).
    • (1999) Rev. Mod. Phys. , vol.71 , pp. 1737
    • Dash, J.G.1
  • 6
    • 71449110801 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.80.056704
    • E. P. Bernard, W. Krauth, and D. B. Wilson, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.056704 80, 056704 (2009).
    • (2009) Phys. Rev. e , vol.80 , pp. 056704
    • Bernard, E.P.1    Krauth, W.2    Wilson, D.B.3
  • 7
    • 80053612567 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.107.155704
    • E. P. Bernard and W. Krauth, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.155704 107, 155704 (2011).
    • (2011) Phys. Rev. Lett. , vol.107 , pp. 155704
    • Bernard, E.P.1    Krauth, W.2
  • 8
    • 4243344190 scopus 로고
    • JPSOAW 0022-3719 10.1088/0022-3719/5/11/002
    • J. M. Kosterlitz and D. J. Thouless, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/5/11/002 5, L124 (1972).
    • (1972) J. Phys. C , vol.5 , pp. 124
    • Kosterlitz, J.M.1    Thouless, D.J.2
  • 9
    • 3843084641 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.41.121
    • B. I. Halperin and D. R. Nelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.41.121 41, 121 (1978).
    • (1978) Phys. Rev. Lett. , vol.41 , pp. 121
    • Halperin, B.I.1    Nelson, D.R.2
  • 10
    • 4243366131 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.19.2457
    • D. R. Nelson and B. I. Halperin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.19.2457 19, 2457 (1979).
    • (1979) Phys. Rev. B , vol.19 , pp. 2457
    • Nelson, D.R.1    Halperin, B.I.2
  • 11
    • 33646624978 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.19.1855
    • A. P. Young, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.19.1855 19, 1855 (1979).
    • (1979) Phys. Rev. B , vol.19 , pp. 1855
    • Young, A.P.1
  • 12
    • 0000457372 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.59.2594
    • A. Jaster, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.59.2594 59, 2594 (1999).
    • (1999) Phys. Rev. e , vol.59 , pp. 2594
    • Jaster, A.1
  • 13
    • 33744965893 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.73.065104
    • C. H. Mak, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.065104 73, 065104 (2006).
    • (2006) Phys. Rev. e , vol.73 , pp. 065104
    • Mak, C.H.1
  • 14
    • 0001347926 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.20.4692
    • D. S. Fisher, B. I. Halperin, and R. Morf, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.20.4692 20, 4692 (1979).
    • (1979) Phys. Rev. B , vol.20 , pp. 4692
    • Fisher, D.S.1    Halperin, B.I.2    Morf, R.3
  • 15
    • 18344381619 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.28.178
    • S. T. Chui, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.28.178 28, 178 (1983).
    • (1983) Phys. Rev. B , vol.28 , pp. 178
    • Chui, S.T.1
  • 16
    • 0001794617 scopus 로고
    • PYLAAG 0375-9601 10.1016/0375-9601(83)90413-9
    • H. Kleinert, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(83)90413-9 95, 381 (1983).
    • (1983) Phys. Lett. A , vol.95 , pp. 381
    • Kleinert, H.1
  • 17
    • 3342885446 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.48.541
    • T. V. Ramakrishnan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.48.541 48, 541 (1982).
    • (1982) Phys. Rev. Lett. , vol.48 , pp. 541
    • Ramakrishnan, T.V.1
  • 18
    • 24844464584 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.51.14636
    • H. Weber, D. Marx, and K. Binder, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.51.14636 51, 14636 (1995).
    • (1995) Phys. Rev. B , vol.51 , pp. 14636
    • Weber, H.1    Marx, D.2    Binder, K.3
  • 19
    • 33744837235 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.46.11186
    • J. A. Zollweg and G. V. Chester, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.46.11186 46, 11186 (1992).
    • (1992) Phys. Rev. B , vol.46 , pp. 11186
    • Zollweg, J.A.1    Chester, G.V.2
  • 20
    • 0001016514 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.46.11190
    • J. Lee and K. J. Strandburg, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.46.11190 46, 11190 (1992).
    • (1992) Phys. Rev. B , vol.46 , pp. 11190
    • Lee, J.1    Strandburg, K.J.2
  • 21
    • 0347284586 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.1695931
    • J. E. Mayer and W. W. Wood, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1695931 42, 4268 (1965).
    • (1965) J. Chem. Phys. , vol.42 , pp. 4268
    • Mayer, J.E.1    Wood, W.W.2
  • 22
    • 0001076757 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.26.556
    • H. Furukawa and K. Binder, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.26.556 26, 556 (1982).
    • (1982) Phys. Rev. A , vol.26 , pp. 556
    • Furukawa, H.1    Binder, K.2
  • 23
    • 67650918140 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.79.061104
    • M. Schrader, P. Virnau, and K. Binder, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.061104 79, 061104 (2009).
    • (2009) Phys. Rev. e , vol.79 , pp. 061104
    • Schrader, M.1    Virnau, P.2    Binder, K.3
  • 25
    • 0033266714 scopus 로고    scopus 로고
    • IJMPEO 0129-1831 10.1142/S0129183199001042
    • M. Isobe, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183199001042 10, 1281 (1999).
    • (1999) Int. J. Mod. Phys. C , vol.10 , pp. 1281
    • Isobe, M.1
  • 29
    • 0001412006 scopus 로고
    • 0021-9991 10.1016/0021-9991(80)90104-7
    • D. C. Rapaport, J. Comput. Phys. 0021-9991 10.1016/0021-9991(80)90104-7 34, 184 (1980).
    • (1980) J. Comput. Phys. , vol.34 , pp. 184
    • Rapaport, D.C.1
  • 30
    • 0000071792 scopus 로고
    • 0021-9991 10.1016/0021-9991(91)90222-7
    • B. D. Lubachevsky, J. Comput. Phys. 0021-9991 10.1016/0021-9991(91)90222- 7 94, 255 (1991).
    • (1991) J. Comput. Phys. , vol.94 , pp. 255
    • Lubachevsky, B.D.1
  • 32
    • 0029517641 scopus 로고
    • CPHCBZ 0010-4655 10.1016/0010-4655(95)00120-2
    • M. Marin and P. Cordero, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/0010-4655(95)00120-2 92, 214 (1995).
    • (1995) Comput. Phys. Commun. , vol.92 , pp. 214
    • Marin, M.1    Cordero, P.2
  • 34
    • 0012002071 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.1731425
    • B. J. Alder and T. E. Wainwright, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1731425 33, 1439 (1960).
    • (1960) J. Chem. Phys. , vol.33 , pp. 1439
    • Alder, B.J.1    Wainwright, T.E.2
  • 35
    • 36849097675 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.1840726
    • W. G. Hoover and B. J. Alder, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1840726 46, 686 (1967).
    • (1967) J. Chem. Phys. , vol.46 , pp. 686
    • Hoover, W.G.1    Alder, B.J.2
  • 37
    • 0347174017 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.59.2659
    • J. J. Alonso and J. F. Fernández, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.59.2659 59, 2659 (1999).
    • (1999) Phys. Rev. e , vol.59 , pp. 2659
    • Alonso, J.J.1    Fernández, J.F.2
  • 38
    • 33744650461 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.43.3265
    • J. Lee and J. M. Kosterlitz, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.43.3265 43, 3265 (1991).
    • (1991) Phys. Rev. B , vol.43 , pp. 3265
    • Lee, J.1    Kosterlitz, J.M.2
  • 39
    • 84877758925 scopus 로고    scopus 로고
    • See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevE.87.042134 for a movie showing the equilibrium fluctuations in a system with N = 1024 2 particles at density η = 0.710. At this density the liquid (low local density) and the hexatic phase (high local density) coexist.
  • 40
    • 33744691518 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.176.250
    • N. D. Mermin, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.176.250 176, 250 (1968).
    • (1968) Phys. Rev. , vol.176 , pp. 250
    • Mermin, N.D.1
  • 41
    • 0001219025 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.76.255
    • K. Bagchi, H. C. Andersen, and W. Swope, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.255 76, 255 (1996).
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 255
    • Bagchi, K.1    Andersen, H.C.2    Swope, W.3
  • 43
    • 84877751073 scopus 로고    scopus 로고
    • Doctoral Thesis, University Pierre et Marie Curie, Paris
    • E. P. Bernard, Doctoral Thesis, University Pierre et Marie Curie, Paris (2011). http://tel.archives-ouvertes.fr/tel-00637330/en.
    • (2011)
    • Bernard, E.P.1


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