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For: Bak P, Tang C, Wiesenfeld K. Self-organized criticality: An explanation of the 1/f noise. Phys Rev Lett 1987;59:381-384. [PMID: 10035754 DOI: 10.1103/physrevlett.59.381] [Citation(s) in RCA: 2207] [Impact Index Per Article: 58.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/04/2023]
Number Cited by Other Article(s)
2151
Earthquakes as chaos. Nature 1990. [DOI: 10.1038/348197a0] [Citation(s) in RCA: 31] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
2152
Rajchenbach J. Flow in powders: From discrete avalanches to continuous regime. PHYSICAL REVIEW LETTERS 1990;65:2221-2224. [PMID: 10042489 DOI: 10.1103/physrevlett.65.2221] [Citation(s) in RCA: 80] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2153
Obukhov SP. Self-organized criticality: Goldstone modes and their interactions. PHYSICAL REVIEW LETTERS 1990;65:1395-1398. [PMID: 10042255 DOI: 10.1103/physrevlett.65.1395] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2154
Liu SH, Kaplan T, Gray LJ. Geometry and dynamics of deterministic sand piles. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990;42:3207-3212. [PMID: 9904398 DOI: 10.1103/physreva.42.3207] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
2155
Critical phenomena in nonequilibrium phase transitions. ACTA ACUST UNITED AC 1990. [DOI: 10.1007/bf00324001] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
2156
Newman TJ, Bray AJ, Moore MA. Growth of order in vector spin systems and self-organized criticality. PHYSICAL REVIEW. B, CONDENSED MATTER 1990;42:4514-4523. [PMID: 9995981 DOI: 10.1103/physrevb.42.4514] [Citation(s) in RCA: 70] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
2157
Held GA, Solina DH, Solina H, Keane DT, Haag WJ, Horn PM, Grinstein G. Experimental study of critical-mass fluctuations in an evolving sandpile. PHYSICAL REVIEW LETTERS 1990;65:1120-1123. [PMID: 10043110 DOI: 10.1103/physrevlett.65.1120] [Citation(s) in RCA: 126] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2158
Wiesenfeld K, Theiler J, McNamara B. Self-organized criticality in a deterministic automaton. PHYSICAL REVIEW LETTERS 1990;65:949-952. [PMID: 10043067 DOI: 10.1103/physrevlett.65.949] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2159
Coppersmith SN. Phase slips and the instability of the Fukuyama-Lee-Rice model of charge-density waves. PHYSICAL REVIEW LETTERS 1990;65:1044-1047. [PMID: 10043091 DOI: 10.1103/physrevlett.65.1044] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2160
Carlson JM, Chayes JT, Grannan ER, Swindle GH. Self-organized criticality in sandpiles: Nature of the critical phenomenon. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990;42:2467-2470. [PMID: 9904307 DOI: 10.1103/physreva.42.2467] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
2161
Ebeling W, Schimansky-Geier L, Schweitzer F. Stochastic Theory of Nucleation in Open Molecular Systems. ACTA ACUST UNITED AC 1990. [DOI: 10.1524/zpch.1990.169.part_1.001] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
2162
Baxter GW, Behringer RP. Cellular automata models of granular flow. PHYSICAL REVIEW A 1990;42:1017-1020. [PMID: 9904123 DOI: 10.1103/physreva.42.1017] [Citation(s) in RCA: 98] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
2163
Jánosi IM. Effect of anisotropy on the self-organized critical state. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990;42:769-774. [PMID: 9904087 DOI: 10.1103/physreva.42.769] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
2164
Bak P. IS THE WORLD AT THE BORDER OF CHAOS? Ann N Y Acad Sci 1990. [DOI: 10.1111/j.1749-6632.1990.tb22705.x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
2165
Jensen HJ. Lattice gas as a model of 1/f noise. PHYSICAL REVIEW LETTERS 1990;64:3103-3106. [PMID: 10041899 DOI: 10.1103/physrevlett.64.3103] [Citation(s) in RCA: 41] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2166
Alstrom P. Self-organized criticality and fractal growth. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990;41:7049-7052. [PMID: 9903124 DOI: 10.1103/physreva.41.7049] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
2167
Nakanishi H. Cellular-automaton model of earthquakes with deterministic dynamics. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990;41:7086-7089. [PMID: 9903137 DOI: 10.1103/physreva.41.7086] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
2168
Mekjian AZ. Distribution of cluster sizes from evaporation to total multifragmentation. PHYSICAL REVIEW. C, NUCLEAR PHYSICS 1990;41:2103-2117. [PMID: 9966575 DOI: 10.1103/physrevc.41.2103] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
2169
Mekjian AZ. Model of a fragmentation process and its power-law behavior. PHYSICAL REVIEW LETTERS 1990;64:2125-2128. [PMID: 10041590 DOI: 10.1103/physrevlett.64.2125] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2170
Babcock KL, Westervelt RM. Avalanches and self-organization in cellular magnetic-domain patterns. PHYSICAL REVIEW LETTERS 1990;64:2168-2171. [PMID: 10041601 DOI: 10.1103/physrevlett.64.2168] [Citation(s) in RCA: 26] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2171
Grossmann B, Guo H, Grant M. Monte Carlo renormalization-group study of self-organized criticality. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990;41:4195-4198. [PMID: 9903613 DOI: 10.1103/physreva.41.4195] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
2172
Dhar D. Self-organized critical state of sandpile automaton models. PHYSICAL REVIEW LETTERS 1990;64:1613-1616. [PMID: 10041442 DOI: 10.1103/physrevlett.64.1613] [Citation(s) in RCA: 117] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2173
Che X, Suhl H. Magnetic domain patterns as self-organizing critical systems. PHYSICAL REVIEW LETTERS 1990;64:1670-1673. [PMID: 10041457 DOI: 10.1103/physrevlett.64.1670] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2174
Bishop AR, Marianer S, Floria LM. Large-scale flow in competing-interaction systems. PHYSICAL REVIEW. B, CONDENSED MATTER 1990;41:6703-6707. [PMID: 9992922 DOI: 10.1103/physrevb.41.6703] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
2175
Forrest BM, Tang LH. Surface roughening in a hypercube-stacking model. PHYSICAL REVIEW LETTERS 1990;64:1405-1408. [PMID: 10041387 DOI: 10.1103/physrevlett.64.1405] [Citation(s) in RCA: 56] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2176
Alstrom P, Trunfio PA, Stanley HE. Spatiotemporal fluctuations in growth phenomena: Dynamical phases and 1/f noise. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990;41:3403-3406. [PMID: 9903505 DOI: 10.1103/physreva.41.3403] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
2177
McNamara B, Wiesenfeld K. Self-organized criticality in vector avalanche automata. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990;41:1867-1873. [PMID: 9903296 DOI: 10.1103/physreva.41.1867] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
2178
Babcock KL, Seshadri R, Westervelt RM. Coarsening of cellular domain patterns in magnetic garnet films. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990;41:1952-1962. [PMID: 9903306 DOI: 10.1103/physreva.41.1952] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
2179
McCauley JL. Universal deterministic statistical independence. ACTA ACUST UNITED AC 1990. [DOI: 10.1007/bf01454223] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
2180
Sornette D, Davy P, Sornette A. Structuration of the lithosphere in plate tectonics as a self-organized critical phenomenon. ACTA ACUST UNITED AC 1990. [DOI: 10.1029/jb095ib11p17353] [Citation(s) in RCA: 95] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
2181
Simple Models for Coalescence of Fluid Droplets. ACTA ACUST UNITED AC 1990. [DOI: 10.1007/978-3-642-76008-2_30] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
2182
Meakin P. Fractal structures. PROG SOLID STATE CH 1990. [DOI: 10.1016/0079-6786(90)90001-v] [Citation(s) in RCA: 59] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
2183
Grassberger P, Manna S. Some more sandpiles. ACTA ACUST UNITED AC 1990. [DOI: 10.1051/jphys:0199000510110107700] [Citation(s) in RCA: 146] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]
2184
Ito K, Matsuzaki M. Earthquakes as self-organized critical phenomena. ACTA ACUST UNITED AC 1990. [DOI: 10.1029/jb095ib05p06853] [Citation(s) in RCA: 280] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
2185
Takayasu H. Steady-state distribution of generalized aggregation system with injection. PHYSICAL REVIEW LETTERS 1989;63:2563-2565. [PMID: 10040927 DOI: 10.1103/physrevlett.63.2563] [Citation(s) in RCA: 61] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2186
Bak P, Chen K, Creutz M. Self-organized criticality in the 'Game of Life". Nature 1989. [DOI: 10.1038/342780a0] [Citation(s) in RCA: 264] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
2187
Carlson JM, Langer JS. Mechanical model of an earthquake fault. PHYSICAL REVIEW. A, GENERAL PHYSICS 1989;40:6470-6484. [PMID: 9902044 DOI: 10.1103/physreva.40.6470] [Citation(s) in RCA: 99] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
2188
Cheng Z, Redner S, Meakin P, Family F. Avalanche dynamics in a deposition model with "sliding". PHYSICAL REVIEW. A, GENERAL PHYSICS 1989;40:5922-5934. [PMID: 9901970 DOI: 10.1103/physreva.40.5922] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
2189
Jánosi IM, Horváth VK. Dynamics of water droplets on a window pane. PHYSICAL REVIEW. A, GENERAL PHYSICS 1989;40:5232-5237. [PMID: 9902788 DOI: 10.1103/physreva.40.5232] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
2190
Dhar D, Ramaswamy R. Exactly solved model of self-organized critical phenomena. PHYSICAL REVIEW LETTERS 1989;63:1659-1662. [PMID: 10040637 DOI: 10.1103/physrevlett.63.1659] [Citation(s) in RCA: 143] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2191
Coram CM, Jacobs AE, Heinig N, Winterbon KB. Criticality at the metastability limit in random-ferromagnet Ising models. PHYSICAL REVIEW. B, CONDENSED MATTER 1989;40:6992-6997. [PMID: 9991079 DOI: 10.1103/physrevb.40.6992] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
2192
Jensen HJ, Christensen K, Fogedby HC. 1/f noise, distribution of lifetimes, and a pile of sand. PHYSICAL REVIEW. B, CONDENSED MATTER 1989;40:7425-7427. [PMID: 9991162 DOI: 10.1103/physrevb.40.7425] [Citation(s) in RCA: 81] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
2193
Browne DA, Kleban P. Equilibrium statistical mechanics for kinetic phase transitions. PHYSICAL REVIEW. A, GENERAL PHYSICS 1989;40:1615-1626. [PMID: 9902299 DOI: 10.1103/physreva.40.1615] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
2194
Roland C, Grant M. Lack of self-averaging, multiscaling, and 1/f noise in the kinetics of domain growth. PHYSICAL REVIEW LETTERS 1989;63:551-554. [PMID: 10041104 DOI: 10.1103/physrevlett.63.551] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2195
Zhang YC. Scaling theory of self-organized criticality. PHYSICAL REVIEW LETTERS 1989;63:470-473. [PMID: 10041083 DOI: 10.1103/physrevlett.63.470] [Citation(s) in RCA: 53] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2196
Kadanoff LP, Nagel SR, Wu L, Zhou S. Scaling and universality in avalanches. PHYSICAL REVIEW. A, GENERAL PHYSICS 1989;39:6524-6537. [PMID: 9901255 DOI: 10.1103/physreva.39.6524] [Citation(s) in RCA: 98] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
2197
Baxter GW, Behringer RP, Fagert T, Johnson GA. Pattern formation in flowing sand. PHYSICAL REVIEW LETTERS 1989;62:2825-2828. [PMID: 10040101 DOI: 10.1103/physrevlett.62.2825] [Citation(s) in RCA: 68] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2198
Carlson JM, Langer JS. Properties of earthquakes generated by fault dynamics. PHYSICAL REVIEW LETTERS 1989;62:2632-2635. [PMID: 10040041 DOI: 10.1103/physrevlett.62.2632] [Citation(s) in RCA: 140] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2199
Hwa T, Kardar M. Dissipative transport in open systems: An investigation of self-organized criticality. PHYSICAL REVIEW LETTERS 1989;62:1813-1816. [PMID: 10039777 DOI: 10.1103/physrevlett.62.1813] [Citation(s) in RCA: 92] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
2200
Wiesenfeld K, Hadley P. Attractor crowding in oscillator arrays. PHYSICAL REVIEW LETTERS 1989;62:1335-1338. [PMID: 10039647 DOI: 10.1103/physrevlett.62.1335] [Citation(s) in RCA: 57] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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