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Volumn , Issue 6, 2007, Pages

The density of critical percolation clusters touching the boundaries of strips and squares

Author keywords

Classical Monte Carlo simulations; Conformal field theory; Correlation functions (theory); Disordered systems (theory)

Indexed keywords


EID: 34548676860     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2007/06/P06012     Document Type: Article
Times cited : (7)

References (36)
  • 1
    • 0000898051 scopus 로고
    • Critical percolation in finite geometries
    • Cardy J L 1992 Critical percolation in finite geometries J. Phys. A: Math. Gen. 25 L201 [hep-th/9111026]
    • (1992) J. Phys. A: Math. Gen. , vol.25 , Issue.4 , pp. 201
    • Cardy, J.L.1
  • 2
    • 0037276417 scopus 로고    scopus 로고
    • Higher conformal multifractality
    • Duplantier B 2003 Higher conformal multifractality J. Stat. Phys. 110 691 [cond-mat/0207743]
    • (2003) J. Stat. Phys. , vol.110 , pp. 691
    • Duplantier, B.1
  • 4
    • 0345862275 scopus 로고    scopus 로고
    • Crossing probabilities and modular forms
    • Kleban P and Zagier D 2003 Crossing probabilities and modular forms J. Stat. Phys. 113 431 [math-ph/0209023]
    • (2003) J. Stat. Phys. , vol.113 , Issue.3-4 , pp. 431
    • Kleban, P.1    Zagier, D.2
  • 5
    • 0001029172 scopus 로고    scopus 로고
    • Exact results at the two-dimensional percolation point
    • Kleban P and Ziff R M 1998 Exact results at the two-dimensional percolation point Phys. Rev. B 57 R8075 [cond-mat/9709285]
    • (1998) Phys. Rev. , vol.57 , Issue.14 , pp. 8075
    • Kleban, P.1    Ziff, R.M.2
  • 6
    • 34547188786 scopus 로고    scopus 로고
    • Excursion decompositions for SLE and Watts' crossing formula
    • Dubédat J 2006 Excursion decompositions for SLE and Watts' crossing formula Probab. Theor. Relat. Fields 134 453 [math.PR/0405074]
    • (2006) Probab. Theor. Relat. Fields , vol.134 , pp. 453
    • Dubédat, J.1
  • 8
    • 0000502626 scopus 로고
    • On the universality of crossing probabilities in two-dimensional percolation
    • Langlands R P, Pichet C, Pouliot Ph and Saint-Aubin Y 1992 On the universality of crossing probabilities in two-dimensional percolation J. Stat. Phys. 67 553
    • (1992) J. Stat. Phys. , vol.67 , Issue.3-4 , pp. 553
    • Langlands, R.P.1    Pichet, C.2    Ph, P.3    Saint-Aubin, Y.4
  • 9
    • 0041869040 scopus 로고    scopus 로고
    • Critical percolation in the plane
    • Smirnov S 2001 Critical percolation in the plane C. R. Acad. Sci. Paris I 333 239
    • (2001) C. R. Acad. Sci. Paris , vol.333 , Issue.3 , pp. 239
    • Smirnov, S.1
  • 10
    • 0242386441 scopus 로고
    • Surface shape and local critical behavior: The percolation problem in two dimensions
    • Berche B, Debierre J-M and Eckle H-P 1994 Surface shape and local critical behavior: the percolation problem in two dimensions Phys. Rev. E 50 4542
    • (1994) Phys. Rev. , vol.50 , Issue.6 , pp. 4542
    • Berche, B.1    Debierre, J.-M.2    Eckle, H.-P.3
  • 11
    • 0001637122 scopus 로고    scopus 로고
    • A crossing probability for critical percolation in two dimensions
    • Watts G M T 1996 A crossing probability for critical percolation in two dimensions J. Phys. A: Math. Gen. 29 L363 [cond-mat/9603167]
    • (1996) J. Phys. A: Math. Gen. , vol.29 , Issue.14 , pp. 363
    • Watts, G.M.T.1
  • 12
    • 11944249293 scopus 로고
    • Spanning probability in 2D percolation
    • Ziff R M 1992 Spanning probability in 2D percolation Phys. Rev. Lett. 69 2670
    • (1992) Phys. Rev. Lett. , vol.69 , Issue.18 , pp. 2670
    • Ziff, R.M.1
  • 13
    • 42749103536 scopus 로고    scopus 로고
    • Universality of the crossing probability for the Potts model for q ≤ 1, 2, 3, 4
    • Vasilyev O A 2003 Universality of the crossing probability for the Potts model for q ≤ 1, 2, 3, 4 Phys. Rev. E 68 026125
    • (2003) Phys. Rev. , vol.68 , pp. 026125
    • Vasilyev, O.A.1
  • 14
    • 0012687047 scopus 로고
    • Universal order-parameter profiles in confined critical systems with boundary fields
    • Burkhardt T W and Eisenriegler E 1985 Universal order-parameter profiles in confined critical systems with boundary fields J. Phys. A: Math. Gen. 18 L83
    • (1985) J. Phys. A: Math. Gen. , vol.18 , Issue.2 , pp. 83
    • Burkhardt, T.W.1    Eisenriegler, E.2
  • 15
    • 0037990968 scopus 로고    scopus 로고
    • Order parameter for two-dimensional critical systems with boundaries
    • Res I and Straley J P 2000 Order parameter for two-dimensional critical systems with boundaries Phys. Rev. B 61 14425 [cond-mat/9910467]
    • (2000) Phys. Rev. , vol.61 , Issue.21 , pp. 14425
    • Res, I.1    Straley, J.P.2
  • 16
    • 0005248963 scopus 로고
    • Surface critical behaviour and local operators with boundary-induced critical profiles
    • Burkhardt T W and Cardy J L 1987 Surface critical behaviour and local operators with boundary-induced critical profiles J. Phys. A: Math. Gen. 20 L233
    • (1987) J. Phys. A: Math. Gen. , vol.20 , Issue.4 , pp. 233
    • Burkhardt, T.W.1    Cardy, J.L.2
  • 17
    • 0039021417 scopus 로고
    • Bulk, surface, and interface properties of the Ising model and conformal invariance
    • Burkhardt T W and Guim I 1987 Bulk, surface, and interface properties of the Ising model and conformal invariance Phys. Rev. B 36 2080
    • (1987) Phys. Rev. , vol.36 , Issue.4 , pp. 2080
    • Burkhardt, T.W.1    Guim, I.2
  • 19
    • 4243535463 scopus 로고
    • Universal critical-point amplitudes in parallel-plate geometries
    • Cardy J L 1990 Universal critical-point amplitudes in parallel-plate geometries Phys. Rev. Lett. 65 1443
    • (1990) Phys. Rev. Lett. , vol.65 , Issue.12 , pp. 1443
    • Cardy, J.L.1
  • 20
    • 0000488649 scopus 로고
    • Density profiles in confined critical systems and conformal invariance
    • Burkhardt T W and Xue T 1991 Density profiles in confined critical systems and conformal invariance Phys. Rev. Lett. 66 895
    • (1991) Phys. Rev. Lett. , vol.66 , Issue.7 , pp. 895
    • Burkhardt, T.W.1    Xue, T.2
  • 21
    • 0001308864 scopus 로고
    • Conformal invariance and critical systems with mixed boundary conditions
    • Burkhardt T W and Xue T 1991 Conformal invariance and critical systems with mixed boundary conditions Nucl. Phys. B 354 653
    • (1991) Nucl. Phys. , vol.354 , Issue.2-3 , pp. 653
    • Burkhardt, T.W.1    Xue, T.2
  • 22
    • 0006142093 scopus 로고
    • Conformal theory of the two-dimensional 0(N) model with ordinary, extraordinary, and special boundary conditions
    • Burkhardt T W and Eisenriegler E 1994 Conformal theory of the two-dimensional 0(N) model with ordinary, extraordinary, and special boundary conditions Nucl. Phys. B 424 487
    • (1994) Nucl. Phys. , vol.424 , Issue.3 , pp. 487
    • Burkhardt, T.W.1    Eisenriegler, E.2
  • 23
    • 0041182326 scopus 로고    scopus 로고
    • Off-diagonal density profiles and conformal invariance
    • Turban L and Iglói F 1997 Off-diagonal density profiles and conformal invariance J. Phys. A: Math. Gen. 30 L105 [cond-mat/9612128]
    • (1997) J. Phys. A: Math. Gen. , vol.30 , Issue.5 , pp. 105
    • Turban, L.1    Iglói, F.2
  • 24
    • 0000453380 scopus 로고    scopus 로고
    • Density profiles in random quantum spin chains
    • Iglói F and Rieger H 1997 Density profiles in random quantum spin chains Phys. Rev. Lett. 78 2473 [cond-mat/9609263]
    • (1997) Phys. Rev. Lett. , vol.78 , Issue.12 , pp. 2473
    • Iglói, F.1    Rieger, H.2
  • 25
    • 0000573538 scopus 로고    scopus 로고
    • Density profiles, Casimir amplitudes, and critical exponents in the two-dimensional Potts model: A density-matrix renormalization study
    • Carlon E and Iglói F 1998 Density profiles, Casimir amplitudes, and critical exponents in the two-dimensional Potts model: a density-matrix renormalization study Phys. Rev. B 57 7877 [cond-mat/9710144]
    • (1998) Phys. Rev. , vol.57 , pp. 7877
    • Carlon, E.1    Iglói, F.2
  • 26
    • 0034646503 scopus 로고    scopus 로고
    • Conformal profiles in the Hilhorst-van Leeuwen model
    • Karevski D, Turban L and Iglói F 2000 Conformal profiles in the Hilhorst-van Leeuwen model J. Phys. A: Math. Gen. 33 2663 [cond-mat/0003310]
    • (2000) J. Phys. A: Math. Gen. , vol.33 , Issue.14 , pp. 2663
    • Karevski, D.1    Turban, L.2    Iglói, F.3
  • 27
    • 0034601935 scopus 로고    scopus 로고
    • The XX-model with boundaries: III. Magnetization profiles and boundary bound states
    • Bilstein U 2000 The XX-model with boundaries: III. Magnetization profiles and boundary bound states J. Phys. A: Math. Gen. 33 7661 [cond-mat/0004484]
    • (2000) J. Phys. A: Math. Gen. , vol.33 , Issue.43 , pp. 7661
    • Bilstein, U.1
  • 28
    • 0034261340 scopus 로고    scopus 로고
    • Surface scaling behavior of isotropic Heisenberg systems: Critical exponents, structure factor, and profiles
    • Krech M 2000 Surface scaling behavior of isotropic Heisenberg systems: critical exponents, structure factor, and profiles Phys. Rev. B 62 6360 [cond-mat/0006448]
    • (2000) Phys. Rev. , vol.62 , Issue.10 , pp. 6360
    • Krech, M.1
  • 29
    • 0035965152 scopus 로고    scopus 로고
    • Conformal off-diagonal boundary density profiles on a semi-infinite strip
    • Turban L 2001 Conformal off-diagonal boundary density profiles on a semi-infinite strip J. Phys. A: Math. Gen. 34 L519 [cond-mat/0107235]
    • (2001) J. Phys. A: Math. Gen. , vol.34 , Issue.38 , pp. 519
    • Turban, L.1
  • 30
    • 0000010520 scopus 로고
    • Phénomènes aux parois dans un mélange binaire critique: Physique des collodes
    • Fisher M E and de Gennes P G 1978 Phénomènes aux parois dans un mélange binaire critique: physique des collodes C. R. Acad. Sci. Paris B 287 207
    • (1978) C. R. Acad. Sci. Paris , vol.287 , pp. 207
    • Fisher, M.E.1    De Gennes, P.G.2
  • 31
    • 33748558425 scopus 로고    scopus 로고
    • Anchored critical percolation clusters and 2D electrostatics
    • Kleban P, Simmons J J H and Ziff R M 2006 Anchored critical percolation clusters and 2D electrostatics Phys. Rev. Lett. 97 115702 [cond-mat/0605120]
    • (2006) Phys. Rev. Lett. , vol.97 , Issue.11 , pp. 115702
    • Kleban, P.1    Simmons, J.J.H.2    Ziff, R.M.3
  • 32
    • 0010882054 scopus 로고
    • Infinite conformal symmetry in two-dimensional quantum field theory
    • Belavin A A, Polyakov A M and Zamolodchikov A B 1984 Infinite conformal symmetry in two-dimensional quantum field theory Nucl. Phys. B 241 333
    • (1984) Nucl. Phys. , vol.241 , Issue.2 , pp. 333
    • Belavin, A.A.1    Polyakov, A.M.2    Zamolodchikov, A.B.3
  • 33
    • 0034321530 scopus 로고    scopus 로고
    • Efficient Monte Carlo algorithm and high-precision results for percolation
    • Newman M E J and Ziff R M 2000 Efficient Monte Carlo algorithm and high-precision results for percolation Phys. Rev. Lett. 85 4104 [cond-mat/0005264]
    • (2000) Phys. Rev. Lett. , vol.85 , Issue.19 , pp. 4104
    • Newman, M.E.J.1    Ziff, R.M.2
  • 34
    • 0001352740 scopus 로고    scopus 로고
    • Effective boundary extrapolation length to account for finite-size effects in the percolation crossing function
    • Ziff R M 1996 Effective boundary extrapolation length to account for finite-size effects in the percolation crossing function Phys. Rev. E 54 2547
    • (1996) Phys. Rev. , vol.54 , Issue.3 , pp. 2547
    • Ziff, R.M.1
  • 36
    • 21844506177 scopus 로고
    • On Cardy's formula for the critical crossing probability in 2d percolation
    • Ziff R M 1995 On Cardy's formula for the critical crossing probability in 2d percolation J. Phys. A: Math. Gen. 28 1249
    • (1995) J. Phys. A: Math. Gen. , vol.28 , Issue.5 , pp. 1249
    • Ziff, R.M.1


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