$\require{mediawiki-texvc}$

연합인증

연합인증 가입 기관의 연구자들은 소속기관의 인증정보(ID와 암호)를 이용해 다른 대학, 연구기관, 서비스 공급자의 다양한 온라인 자원과 연구 데이터를 이용할 수 있습니다.

이는 여행자가 자국에서 발행 받은 여권으로 세계 각국을 자유롭게 여행할 수 있는 것과 같습니다.

연합인증으로 이용이 가능한 서비스는 NTIS, DataON, Edison, Kafe, Webinar 등이 있습니다.

한번의 인증절차만으로 연합인증 가입 서비스에 추가 로그인 없이 이용이 가능합니다.

다만, 연합인증을 위해서는 최초 1회만 인증 절차가 필요합니다. (회원이 아닐 경우 회원 가입이 필요합니다.)

연합인증 절차는 다음과 같습니다.

최초이용시에는
ScienceON에 로그인 → 연합인증 서비스 접속 → 로그인 (본인 확인 또는 회원가입) → 서비스 이용

그 이후에는
ScienceON 로그인 → 연합인증 서비스 접속 → 서비스 이용

연합인증을 활용하시면 KISTI가 제공하는 다양한 서비스를 편리하게 이용하실 수 있습니다.

Percolation theory

Reports on progress in physics, v.43 no.7, 1980년, pp.833 - 912  

Essam, J W

Abstract AI-Helper 아이콘AI-Helper

The theory or percolation models is developed following general ideas in the area of critical phenomena. The review is an exposition of current phase transition theory in a geometrical context. As such, it includes a discussion of scaling relations between critical exponents and their calculation us...

참고문헌 (167)

  1. 1976 10.1088/0305-4470/9/9/006 9 1441 0305-4470 J. Phys. A: Math. Gen. Amit D J 

  2. 1978 Amit D J 

  3. Amit, D. J., Wallace, D. J., Zia, R. K. P.. Universality in the percolation problem-Anomalous dimensions ofφ4operators. Physical review B, Solid state, vol.15, no.10, 4657-4666.

  4. Baker, George A.. Application of the Padé Approximant Method to the Investigation of Some Magnetic Properties of the Ising Model. Physical review, vol.124, no.3, 768-774.

  5. Baker, George A., Nickel, Bernie G., Green, Melville S., Meiron, Daniel I.. Ising-Model Critical Indices in Three Dimensions from the Callan-Symanzik Equation. Physical review letters, vol.36, no.23, 1351-1354.

  6. 1978 2 467 Ann. Israel Phys. Soc. Bergman D J 

  7. 1971 10.1088/0022-3719/4/14/015 4 1994 0022-3719 J. Phys. C: Solid St. Phys. Betts D D 

  8. Birgeneau, R. J., Cowley, R. A., Shirane, G., Guggenheim, H. J.. Spin Correlations near the Percolation Concentration in Two Dimensions. Physical review letters, vol.37, no.14, 940-943.

  9. 1977 10.1088/0022-3719/10/7/003 10 917 0022-3719 J. Phys. C: Solid St. Phys. Blease J 

  10. 1977 10.1088/0022-3719/10/7/004 10 925 0022-3719 J. Phys. C: Solid St. Phys. Blease J 

  11. 1976 10.1016/0375-9601(76)90033-5 57A 199 0375-9601 Phys. Lett. Blease J 

  12. 1978 10.1088/0022-3719/11/19/012 11 4009 0022-3719 J. Phys. C: Solid St. Phys. Blease J 

  13. 1976 vol 6 125 Brézin E 

  14. 1957 10.1017/S0305004100032680 53 629 Proc. Camb. Phil. Soc. Broadbent S R 

  15. 1975 11 94 0950-5628 Bull. Inst. Math. Appl. Cattermole K W 

  16. 1979 10.1088/0022-3719/12/1/008 12 L31 0022-3719 J. Phys. C: Solid St. Phys. Chalupa J 

  17. 1975 10.1088/0305-4470/8/11/012 8 1773 0305-4470 J. Phys. A: Math. Gen. Coniglio A 

  18. Coniglio, Antonio. Some cluster-size and percolation problems for interacting spins. Physical review B, Solid state, vol.13, no.5, 2194-2207.

  19. 1976 10.1007/BF01617925 51 315 0010-3616 Commun. Math. Phys. Coniglio A 

  20. 1978 2 874 Ann. Israel Phys. Soc. Coniglio A 

  21. 1977 10.1088/0305-4470/10/11/020 10 1917 0305-4470 J. Phys. A: Math. Gen. Coniglio A 

  22. 1977 10.1088/0305-4470/10/2/010 10 205 0305-4470 J. Phys. A: Math. Gen. Coniglio A 

  23. 1976 10.1088/0022-3719/9/21/017 9 3985 0022-3719 J. Phys. C: Solid St. Phys. Cox M A A 

  24. 1975 10.1021/ma60048a024 8 804 Macromolec. Daoud M 

  25. Dasgupta, Chandan. Renormalization-group calculation of the critical exponents for percolation. Physical review B, Solid state, vol.14, no.3, 1221-1224.

  26. 1980 De'Bell K 

  27. 1972 10.1016/0375-9601(72)90149-1 38A 339 0375-9601 Phys. Lett. deGennes P G 

  28. 1976 919 deGennes P G 

  29. Haugan, Mark P., Will, Clifford M.. Weak Interactions and Eötvös Experiments. Physical review letters, vol.37, no.1, 1-4.

  30. de Gennes, P.G., Lafore, P., Millot, J.P.. Amas accidentels dans les solutions solides désordonnées. The Physics and chemistry of solids, vol.11, no.1, 105-110.

  31. 1979 Delyon F 

  32. 1959 10.1038/184509a0 184 509 0028-0836 Nature Domb C 

  33. 1960 9 150 Phil. Mag. Suppl. Domb C 

  34. 1974 10.1088/0022-3719/7/15/016 7 2677 0022-3719 J. Phys. C: Solid St. Phys. Domb C 

  35. 1976 10.1088/0305-4470/9/10/005 9 L141 0305-4470 J. Phys. A: Math. Gen. Domb C 

  36. 1972 10.1088/0022-3719/5/9/009 5 956 0022-3719 J. Phys. C: Solid St. Phys. Domb C 

  37. 1976 10.1088/0305-4470/9/10/004 9 L137 0305-4470 J. Phys. A: Math. Gen. Domb C 

  38. 1975 10.1088/0305-4470/8/9/002 8 L90 0305-4470 J. Phys. A: Math. Gen. Domb C 

  39. 1977 10.1088/0305-4470/10/7/012 10 1141 0305-4470 J. Phys. A: Math. Gen. Domb C 

  40. 1957 10.1098/rspa.1957.0078 240 214 0080-4630 Proc. R. Soc. Domb C 

  41. Domb, C., Sykes, M. F.. Use of Series Expansions for the Ising Model Susceptibility and Excluded Volume Problem. Journal of mathematical physics, vol.2, no.1, 63-67.

  42. 1951 14 1 Acta. Sci. Math. Szeged. Dunford N 

  43. 1975 10.1088/0022-3719/8/6/004 8 743 0022-3719 J. Phys. C: Solid St. Phys. Dunn A G 

  44. 1975 10.1088/0022-3719/8/24/014 8 4219 0022-3719 J. Phys. C: Solid St. Phys. Dunn A G 

  45. Elliott, R. J., Heap, B. R., Morgan, D. J., Rushbrooke, G. S.. Equivalence of the Critical Concentrations in the Ising and Heisenberg Models of Ferromagnetism. Physical review letters, vol.5, no.8, 366-367.

  46. Essam, J.W.. Graph theory and statistical physics. Discrete mathematics, vol.1, no.1, 83-112.

  47. 1972 vol 2 197 Essam J W 

  48. 1979 10.1063/1.524264 20 1769 0022-2488 J. Math. Phys. Essam J W 

  49. 1971 10.1088/0022-3719/4/10/015 4 L228 0022-3719 J. Phys. C: Solid St. Phys. Essam J W 

  50. 1976 10.1088/0022-3719/9/2/022 9 365 0022-3719 J. Phys. C: Solid St. Phys. Essam J W 

  51. 1957 vol 1 293 Feller W 

  52. Fisch, R., Harris, A. B.. Critical behavior of random resistor networks near the percolation threshold. Physical review. B, Condensed matter, vol.18, no.1, 416-420.

  53. Fisher, Michael E., Sykes, M. F.. Excluded-Volume Problem and the Ising Model of Ferromagnetism. Physical review, vol.114, no.1, 45-58.

  54. Fisher, Michael E.. Critical Probabilities for Cluster Size and Percolation Problems. Journal of mathematical physics, vol.2, no.4, 620-627.

  55. Fisher, Michael E., Essam, John W.. Some Cluster Size and Percolation Problems. Journal of mathematical physics, vol.2, no.4, 609-619.

  56. 1971 10.1007/BF01651330 22 89 0010-3616 Commun. Math. Phys. Fortuin C M 

  57. 1963 10.1137/0111066 11 894 J. Soc. Indust. Appl. Math. Frisch H L 

  58. 1977 10.1088/0305-4470/10/5/014 10 807 0305-4470 J. Phys. A: Math. Gen. Gaunt D S 

  59. 1978 10.1088/0305-4470/11/7/025 11 1369 0305-4470 J. Phys. A: Math. Gen. Gaunt D S 

  60. 1976 10.1088/0305-4470/9/7/014 9 1109 0305-4470 J. Phys. A: Math. Gen. Gaunt D S 

  61. 1976 10.1088/0305-4470/9/11/015 9 1899 0305-4470 J. Phys. A: Math. Gen. Gaunt D S 

  62. Giri, Mylar R., Stephen, Michael J., Grest, G. S.. Spin models and cluster distributions for bond and site percolation models. Physical review B, Solid state, vol.16, no.11, 4971-4977.

  63. 1975 10.1038/257370a0 257 370 0028-0836 Nature Goodman C H L 

  64. Griffiths, Robert B.. Correlations in Ising Ferromagnets. II. External Magnetic Fields. Journal of mathematical physics, vol.8, no.3, 484-489.

  65. 1979 Grimmet G R 

  66. 1975 Gross D J 

  67. 1965 Hammersley J M 

  68. 1978 10.1088/0305-4470/11/3/003 11 L49 0305-4470 J. Phys. A: Math. Gen. Hankey A 

  69. 1977 10.1103/PhysRevB.16.542 18 542 0163-1829 Phys. Rev. Harris A B 

  70. Harris, A. B., Lubensky, T. C., Holcomb, W. K., Dasgupta, C.. Renormalization-Group Approach to Percolation Problems. Physical review letters, vol.35, no.6, 327-330.

  71. 1960 10.1017/S0305004100034241 56 13 Proc. Camb. Phil. Soc. Harris T E 

  72. Harrison, Ralph J., Bishop Jr., George H., Quinn, George D.. Spanning lengths of percolation clusters. Journal of statistical physics, vol.19, no.1, 53-64.

  73. Hoshen, J., Kopelman, R.. Percolation and cluster distribution. I. Cluster multiple labeling technique and critical concentration algorithm. Physical review B, Solid state, vol.14, no.8, 3438-3445.

  74. Hoshen, J., Kopelman, R., Monberg, E. M.. Percolation and cluster distribution. II. layers, variable-range interactions, and exciton cluster model. Journal of statistical physics, vol.19, no.3, 219-242.

  75. Houghton, A., Reeve, J. S., Wallace, D. J.. High-order behavior inφ3field theories and the percolation problem. Physical review. B, Condensed matter, vol.17, no.7, 2956-2964.

  76. 1971 Kadanoff L P 

  77. 1976 vol 5A 2 Kadanoff L P 

  78. Kadanoff, Leo P., Houghton, Anthony. Numerical evaluations of the critical properties of the two-dimensional Ising model. Physical review B, Solid state, vol.11, no.1, 377-386.

  79. 1969 26 11 0031-9015 J. Phys. Soc. Japan (Suppl.) Kasteleyn P 

  80. 1980 Keston H 

  81. Kikuchi, Ryoichi. Concept of the Long-Range Order in Percolation Problems. The Journal of chemical physics, vol.53, no.7, 2713-2718.

  82. 1979 Kinzel W 

  83. Kirkpatrick, Scott. The nature of percolation ‘channels’. Solid state communications, vol.12, no.12, 1279-1283.

  84. Kirkpatrick, Scott. Percolation and Conduction. Reviews of modern physics, vol.45, no.4, 574-588.

  85. Kirkpatrick, Scott. Percolation Phenomena in Higher Dimensions: Approach to the Mean-Field Limit. Physical review letters, vol.36, no.2, 69-72.

  86. 1967 10.4153/CJM-1967-080-4 19 851 0008-414X Can. J. Math. Klarner D A 

  87. Klein, W., Stanley, H. Eugene, Reynolds, Peter J., Coniglio, A.. Renormalization-Group Approach to the Percolation Properties of the Triangular Ising Model. Physical review letters, vol.41, no.17, 1145-1148.

  88. Kretschmer, R., Binder, K., Stauffer, D.. Linear and nonlinear relaxation and cluster dynamics near critical points. Journal of statistical physics, vol.15, no.4, 267-297.

  89. 1978 Kunz H 

  90. Kunz, Herv�, Souillard, Bernard. Essential singularity in percolation problems and asymptotic behavior of cluster size distribution. Journal of statistical physics, vol.19, no.1, 77-106.

  91. 1978 10.1088/0022-3719/11/1/001 11 L1 0022-3719 J. Phys. C: Solid St. Phys. Kunz H 

  92. Leath, P. L.. Cluster Shape and Critical Exponents near Percolation Threshold. Physical review letters, vol.36, no.16, 921-924.

  93. Leath, P. L.. Cluster size and boundary distribution near percolation threshold. Physical review B, Solid state, vol.14, no.11, 5046-5055.

  94. 1978 10.1088/0022-3719/11/19/013 11 4017 0022-3719 J. Phys. C: Solid St. Phys. Leath P L 

  95. Lebowitz, J. L., Penrose, O.. Cluster and percolation inequalities for lattice systems with interactions. Journal of statistical physics, vol.16, no.4, 321-337.

  96. Le Guillou, J. C., Zinn-Justin, J.. Critical Exponents for the $ n$ -Vector Model in Three Dimensions from Field Theory. Physical review letters, vol.39, no.2, 95-98.

  97. Levine, Samuel, Reed, Paul, Shutts, Glenn. Some aspects of wetting/dewetting of a porous medium. Powder technology, vol.17, no.2, 163-181.

  98. 1975 69 2203 0044-4510 Sov. Phys.-JETP Levinshtein M E 

  99. Lubensky, T. C.. Scaling theory of phase transitions in diluted systems near the percolation threshold. Physical review B, Solid state, vol.15, no.1, 311-314.

  100. McKenzie, D.S.. Polymers and scaling. Physics reports, vol.27, no.2, 35-88.

  101. 1978 2 225 Ann. Israel Phys. Soc. Mandelbrot R B 

  102. 1977 10.1088/0022-3719/10/12/026 10 2223 0022-3719 J. Phys. C: Solid St. Phys. Marland L G 

  103. 1976 10.1016/0375-9601(76)90558-2 59A 180 Phys. Lett. Marro J 

  104. 1961 vol 1 337 Mauldon J G 

  105. 1975 69 810 0044-4510 Zh. Eksp. Teor. Fiz. Migdal A A 

  106. 42 413 0044-4510 Sov. Phys.-JEPT Migdal A A 

  107. 1975 69 1457 0044-4510 Zh. Eksp. Teor. Fiz. Migdal A A 

  108. 42 743 0044-4510 Sov. Phys.-JETP Migdal A A 

  109. Müller-Hartmann, E., Zittartz, J.. New Type of Phase Transition. Physical review letters, vol.33, no.15, 893-897.

  110. 1974 10.1016/0375-9601(74)90337-5 50A 27 0375-9601 Phys. Lett. Müller-Krumbhaar H 

  111. 1976 10.1063/1.432838 65 4294 0021-9606 J. Chem. Phys. Müller-Krumbhaar H 

  112. 1978 10.1088/0305-4470/11/8/005 11 L189 0305-4470 J. Phys. A: Math. Gen. Nakanishi H 

  113. Niemeyer, Th., Van Leeuwen, J.M.J.. Wilson theory for 2-dimensional Ising spin systems. Physica, vol.71, no.1, 17-40.

  114. 1976 10.1143/PTP.54.1067 54 1067 0033-068X Prog. Theor. Phys. Odagaki T 

  115. 1966 23 292 0044-4510 Sov. Phys.-JETP Patashinskii A Z 

  116. 1979 10.1007/BF01325205 34 399 0340-224X Z. Phys. Peters H P 

  117. 1979 Pfeuty P 

  118. 1952 10.1017/S0305004100027419 48 106 Proc. Camb. Phil. Soc. Potts R B 

  119. Priest, R. G., Lubensky, T. C.. Critical properties of two tensor models with application to the percolation problem. Physical review B, Solid state, vol.13, no.9, 4159-4171.

  120. 14 5125 10.1103/PhysRevB.14.5125.4 0163-1829 Phys. Rev. Priest R G 

  121. 1979 10.1088/0305-4470/12/7/006 12 L179 0305-4470 J. Phys. A: Math. Gen. Rehr J J 

  122. 1978 10.1088/0022-3719/11/6/021 11 1155 0022-3719 J. Phys. C: Solid St. Phys. Reich G R 

  123. 1977 10.1088/0022-3719/10/8/002 10 L167 0022-3719 J. Phys. C: Solid St. Phys. Reynolds P J 

  124. 1977 10.1088/0305-4470/10/11/007 10 L203 0305-4470 J. Phys. A: Math. Gen. Reynolds P J 

  125. 1978 10.1088/0305-4470/11/8/006 11 L199 0305-4470 J. Phys. A: Math. Gen. Reynolds P J 

  126. 1968 Roach S 

  127. Russo, Lucio. A note on percolation. Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete, vol.43, no.1, 39-48.

  128. Schwartz, Moshe. Upper bounds on cluster distribution functions and the nature of the Griffiths singularity. Physical review. B, Condensed matter, vol.18, no.5, 2364-2366.

  129. 1978 10.1016/S0167-5060(08)70509-0 3 227 0167-5060 Ann. Discrete Math. Seymour P D 

  130. 1971 10.1080/00018737100101261 20 325 0001-8732 Adv. Phys. Shante V K S 

  131. 1975 8 1029 0015-3222 Sov. Phys.-Semicond. Skal A S 

  132. 1977 10.1088/0305-4470/10/11/008 10 L211 0305-4470 J. Phys. A: Math. Gen. Stanley H E 

  133. 1976 10.1088/0022-3719/9/20/001 9 L553 0022-3719 J. Phys. C: Solid St. Phys. Stanley H E 

  134. 1975 10.1088/0022-3719/8/9/023 8 L172 0022-3719 J. Phys. C: Solid St. Phys. Stauffer D 

  135. Stauffer, D.. Violation of Dynamical Scaling for Randomly Dilute Ising Ferromagnets near Percolation Threshold. Physical review letters, vol.35, no.6, 394-397.

  136. Stauffer, D.. Gelation in concentrated critically branched polymer solutions. Percolation scaling theory of intramolecular bond cycles. Journal of the Chemical Society. Faraday transactions II, vol.72, 1354-1364.

  137. 1976 10.1007/BF01315255 25 391 0340-224X Z. Phys. Stauffer D 

  138. 1978 10.1007/BF01320983 30 173 0340-224X Z. Phys. Stauffer D 

  139. Stauffer, D.. Scaling assumption for lattice animals in percolation theory. Journal of statistical physics, vol.18, no.2, 125-136.

  140. Stauffer, D.. Monte Carlo Study of Density Profile, Radius, and Perimeter for Percolation Clusters and Lattice Animals. Physical review letters, vol.41, no.20, 1333-1336.

  141. Stauffer, D.. Scaling theory of percolation clusters. Physics reports, vol.54, no.1, 1-74.

  142. Stephen, Michael J.. Site-cluster distributions and equation of state for the bond percolation model. Physical review B, Solid state, vol.15, no.12, 5674-5680.

  143. Stoll, E., Binder, K., Schneider, T.. Evidence for Fisher's Droplet Model in Simulated Two-Dimensional Cluster Distributions. Physical review B, Solid state, vol.6, no.7, 2777-2780.

  144. 1978 10.1088/0305-4470/11/3/004 11 L57 0305-4470 J. Phys. A: Math. Gen. Stoll E 

  145. 1978 2 303 Ann. Israel Phys. Soc. Stoll E 

  146. 1977 10.1088/0022-3719/10/16/010 10 3009 0022-3719 J. Phys. C: Solid St. Phys. Straley J P 

  147. Sur, Amit, Lebowitz, Joel L., Marro, J., Kalos, M. H., Kirkpatrick, S.. Monte Carlo studies of percolation phenomena for a simple cubic lattice. Journal of statistical physics, vol.15, no.5, 345-353.

  148. Sykes, M. F., Essam, J. W.. Exact Critical Percolation Probabilities for Site and Bond Problems in Two Dimensions. Journal of mathematical physics, vol.5, no.8, 1117-1127.

  149. Sykes, M. F., Essam, J. W.. Critical Percolation Probabilities by Series Methods. Physical review, vol.133, no.a1, A310-A315.

  150. 1976 10.1088/0305-4470/9/12/017 9 2131 0305-4470 J. Phys. A: Math. Gen. Sykes M F 

  151. 1976 10.1088/0305-4470/9/5/002 9 L43 0305-4470 J. Phys. A: Math. Gen. Sykes M F 

  152. 1976 10.1088/0305-4470/9/5/009 9 725 0305-4470 J. Phys. A: Math. Gen. Sykes M F 

  153. 1976 10.1088/0305-4470/9/10/021 9 1705 0305-4470 J. Phys. A: Math. Gen. Sykes M F 

  154. 1976 10.1088/0305-4470/9/1/015 9 97 0305-4470 J. Phys. A: Math. Gen. Sykes M F 

  155. 1976 10.1088/0305-4470/9/1/014 9 87 0305-4470 J. Phys. A: Math. Gen. Sykes M F 

  156. 1974 10.1088/0305-4470/7/9/002 7 L105 0305-4470 J. Phys. A: Math. Nucl. Gen. Sykes M F 

  157. 1973 10.1088/0305-4470/6/9/006 6 1306 0305-4470 J. Phys. A: Math. Nucl. Gen. Sykes M F 

  158. 1974 10.1007/BF02737507 23 234 0369-3554 Nuovo Cim. Toulouse G 

  159. 1976 vol 6 Wallace D J 

  160. 1977 64 65 Sci. Prog. Oxford Welsh D J A 

  161. Wilson, Kenneth G., Fisher, Michael E.. Critical Exponents in 3.99 Dimensions. Physical review letters, vol.28, no.4, 240-243.

  162. Wilson, Kenneth G.. The renormalization group and the ϵ expansion. Physics reports, vol.12, no.2, 75-199.

  163. 1978 10.1007/BF01354839 29 67 0340-224X Z. Phys. Wolff W F 

  164. 1978 vol 1 151 Wu F Y 

  165. 1975 10.1088/0022-3719/8/23/001 8 L535 0022-3719 J. Phys. C: Solid St. Phys. Young A P 

  166. 1975 10.1088/0305-4470/8/9/019 8 1495 0305-4470 J. Phys. A: Math. Gen. Zia R K P 

  167. 1979 Ziman T A L 

섹션별 컨텐츠 바로가기

AI-Helper ※ AI-Helper는 오픈소스 모델을 사용합니다.

AI-Helper 아이콘
AI-Helper
안녕하세요, AI-Helper입니다. 좌측 "선택된 텍스트"에서 텍스트를 선택하여 요약, 번역, 용어설명을 실행하세요.
※ AI-Helper는 부적절한 답변을 할 수 있습니다.

선택된 텍스트

맨위로