메뉴 건너뛰기




Volumn 29, Issue 21, 1996, Pages 6709-6716

Boundary conditions, entropy and the signature of random tilings

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030509123     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/21/007     Document Type: Article
Times cited : (13)

References (26)
  • 1
    • 33751141500 scopus 로고
    • Metallic phase with long-ranged orientational order and no translational symmetry
    • Shechtman D, Blech I, Gratias D and Cahn J W 1984 Metallic phase with long-ranged orientational order and no translational symmetry Phys. Rev. Lett. 53 1951 Ishimasa T, Nissen H-U and Fukano Y 1985 New ordered state between crystalline and amorphous in Ni-Cr particles Phys. Rev. Lett. 55 511
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 1951
    • Shechtman, D.1    Blech, I.2    Gratias, D.3    Cahn, J.W.4
  • 2
    • 0346573387 scopus 로고
    • New ordered state between crystalline and amorphous in Ni-Cr particles
    • Shechtman D, Blech I, Gratias D and Cahn J W 1984 Metallic phase with long-ranged orientational order and no translational symmetry Phys. Rev. Lett. 53 1951 Ishimasa T, Nissen H-U and Fukano Y 1985 New ordered state between crystalline and amorphous in Ni-Cr particles Phys. Rev. Lett. 55 511
    • (1985) Phys. Rev. Lett. , vol.55 , pp. 511
    • Ishimasa, T.1    Nissen, H.-U.2    Fukano, Y.3
  • 3
    • 0000258226 scopus 로고
    • The role of aesthetics in pure and applied mathematical research
    • Penrose R 1974 The role of aesthetics in pure and applied mathematical research Bull. Inst. Math. Appl. 10 266
    • (1974) Bull. Inst. Math. Appl. , vol.10 , pp. 266
    • Penrose, R.1
  • 5
    • 0000188147 scopus 로고
    • Comment on quasicrystals: A new class of ordered structures
    • Elser V 1985 Comment on quasicrystals: a new class of ordered structures Phys. Rev. Lett. 54 1730
    • (1985) Phys. Rev. Lett. , vol.54 , pp. 1730
    • Elser, V.1
  • 6
    • 21844483456 scopus 로고
    • Quasicrystalline ground states without matching-rules
    • Gähler F and Jeong H-C 1995 Quasicrystalline ground states without matching-rules J. Phys. A: Math. Gen. 28 1807
    • (1995) J. Phys. A: Math. Gen. , vol.28 , pp. 1807
    • Gähler, F.1    Jeong, H.-C.2
  • 7
    • 0002754401 scopus 로고
    • Random tiling models
    • ed D P DiVincenzo and P J Steinhardt (Singapore: World Scientific)
    • Henley C L 1991 Random tiling models Quasicrystals - The State of the Art ed D P DiVincenzo and P J Steinhardt (Singapore: World Scientific) p 429
    • (1991) Quasicrystals - The State of the Art , pp. 429
    • Henley, C.L.1
  • 8
    • 21344488272 scopus 로고
    • The square - Triangle random-tiling model in the thermodynamic limit
    • Kalugin P 1994 The square - triangle random-tiling model in the thermodynamic limit J. Phys. A: Math. Gen. 27 3599
    • (1994) J. Phys. A: Math. Gen. , vol.27 , pp. 3599
    • Kalugin, P.1
  • 9
    • 4243271450 scopus 로고    scopus 로고
    • Exact solution of an octagonal random tiling model
    • de Gier J and Nienhuis B 1996 Exact solution of an octagonal random tiling model Phys. Rev. Lett. 76 2918
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 2918
    • De Gier, J.1    Nienhuis, B.2
  • 10
    • 34249835472 scopus 로고
    • Aperiodic tiles
    • Ammann R, Grünbaum B and Shepard GC 1992 Aperiodic tiles Discr. Comput. Geom. 8 1 Grünbaum B and Shephard GC 1987 Tilings and Patterns (New York: Freeman) p 556 Beenker FPM 1982 Algebraic theory of non-periodic tilings by two simple building blocks: a square and a rhombus TH-Report 82-WSK-04 Eindhoven Lück R 1988 Modelling of the amorphous and quasicrystalline structures by Penrose tiling Z. Phys. Chem., Neue Folge 157 843
    • (1992) Discr. Comput. Geom. , vol.8 , pp. 1
    • Ammann, R.1    Grünbaum, B.2    Shepard, G.C.3
  • 11
    • 0004190537 scopus 로고
    • New York: Freeman
    • Ammann R, Grünbaum B and Shepard GC 1992 Aperiodic tiles Discr. Comput. Geom. 8 1 Grünbaum B and Shephard GC 1987 Tilings and Patterns (New York: Freeman) p 556 Beenker FPM 1982 Algebraic theory of non-periodic tilings by two simple building blocks: a square and a rhombus TH-Report 82-WSK-04 Eindhoven Lück R 1988 Modelling of the amorphous and quasicrystalline structures by Penrose tiling Z. Phys. Chem., Neue Folge 157 843
    • (1987) Tilings and Patterns , pp. 556
    • Grünbaum, B.1    Shephard, G.C.2
  • 12
    • 0040155440 scopus 로고
    • Algebraic theory of non-periodic tilings by two simple building blocks: A square and a rhombus
    • Eindhoven
    • Ammann R, Grünbaum B and Shepard GC 1992 Aperiodic tiles Discr. Comput. Geom. 8 1 Grünbaum B and Shephard GC 1987 Tilings and Patterns (New York: Freeman) p 556 Beenker FPM 1982 Algebraic theory of non-periodic tilings by two simple building blocks: a square and a rhombus TH-Report 82-WSK-04 Eindhoven Lück R 1988 Modelling of the amorphous and quasicrystalline structures by Penrose tiling Z. Phys. Chem., Neue Folge 157 843
    • (1982) TH-report 82-WSK-04
    • Beenker, F.P.M.1
  • 13
    • 26344461310 scopus 로고
    • Modelling of the amorphous and quasicrystalline structures by Penrose tiling
    • Ammann R, Grünbaum B and Shepard GC 1992 Aperiodic tiles Discr. Comput. Geom. 8 1 Grünbaum B and Shephard GC 1987 Tilings and Patterns (New York: Freeman) p 556 Beenker FPM 1982 Algebraic theory of non-periodic tilings by two simple building blocks: a square and a rhombus TH-Report 82-WSK-04 Eindhoven Lück R 1988 Modelling of the amorphous and quasicrystalline structures by Penrose tiling Z. Phys. Chem., Neue Folge 157 843
    • (1988) Z. Phys. Chem., Neue Folge , vol.157 , pp. 843
    • Lück, R.1
  • 14
    • 0001173696 scopus 로고
    • Phase diagram of a random tiling quasicrystal
    • Li W, Park H and Widom M 1992 Phase diagram of a random tiling quasicrystal J. Stat. Phys. 66 1
    • (1992) J. Stat. Phys. , vol.66 , pp. 1
    • Li, W.1    Park, H.2    Widom, M.3
  • 15
    • 0040450868 scopus 로고
    • Specific heat and self-diffusion in quasicrystals
    • ed G Chapuis and W Paciorek (Singapore: World Scientific)
    • Joseph D and Gähler F 1995 Specific heat and self-diffusion in quasicrystals Aperiodic '94 ed G Chapuis and W Paciorek (Singapore: World Scientific) p 188
    • (1995) Aperiodic '94 , pp. 188
    • Joseph, D.1    Gähler, F.2
  • 16
    • 0041044854 scopus 로고
    • Specific heat and self-diffusion in quasicrystals
    • ed C Janot and R Mosseri (Singapore: World Scientific)
    • Joseph D 1995 Specific heat and self-diffusion in quasicrystals Quasicrystals ed C Janot and R Mosseri (Singapore: World Scientific) p 605
    • (1995) Quasicrystals , pp. 605
    • Joseph, D.1
  • 17
    • 0009904379 scopus 로고
    • Thermodynamics of random tiling quasicrystals
    • ed C Janot and R Mosseri (Singapore: World Scientific)
    • Gähler F 1995 Thermodynamics of random tiling quasicrystals Quasicrystals ed C Janot and R Mosseri (Singapore: World Scientific) p 236
    • (1995) Quasicrystals , pp. 236
    • Gähler, F.1
  • 18
    • 26344447299 scopus 로고
    • Private communication
    • Gähler F 1995 Private communication
    • (1995)
    • Gähler, F.1
  • 19
    • 0039266145 scopus 로고
    • Private communication
    • Kenyon R 1995 Private communication
    • (1995)
    • Kenyon, R.1
  • 20
    • 4243819810 scopus 로고
    • New Monte Carlo technique for studying phase transitions
    • Ferrenberg A M and Swendson R H 1988 New Monte Carlo technique for studying phase transitions Phys. Rev. Lett. 61 2635 Lee J 1993 New Monte Carlo algorithm: entropic sampling Phys. Rev. Lett. 71 211
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 2635
    • Ferrenberg, A.M.1    Swendson, R.H.2
  • 21
    • 0002061484 scopus 로고
    • New Monte Carlo algorithm: Entropic sampling
    • Ferrenberg A M and Swendson R H 1988 New Monte Carlo technique for studying phase transitions Phys. Rev. Lett. 61 2635 Lee J 1993 New Monte Carlo algorithm: entropic sampling Phys. Rev. Lett. 71 211
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 211
    • Lee, J.1
  • 22
    • 0007135167 scopus 로고
    • Solution of the dimer problem on a hexagonal lattice with boundary
    • Elser V 1984 Solution of the dimer problem on a hexagonal lattice with boundary J. Phys. A: Math. Gen. 17 1509
    • (1984) J. Phys. A: Math. Gen. , vol.17 , pp. 1509
    • Elser, V.1
  • 23
    • 0001037632 scopus 로고
    • High-resolution microscopy study and structure modelling of the stable decagonal Al-Cu-Co quasicrystal
    • Chen H, Burkov S E, He Y, Poon S J and Shiflet G J 1990 High-resolution microscopy study and structure modelling of the stable decagonal Al-Cu-Co quasicrystal Phys. Rev. Lett. 65 72
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 72
    • Chen, H.1    Burkov, S.E.2    He, Y.3    Poon, S.J.4    Shiflet, G.J.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.