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For: Tang C, Bak P. Critical exponents and scaling relations for self-organized critical phenomena. Phys Rev Lett 1988;60:2347-2350. [PMID: 10038328 DOI: 10.1103/physrevlett.60.2347] [Citation(s) in RCA: 102] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
Number Cited by Other Article(s)
101
Cagnoli G, Gammaitoni L, Marchesoni F, Segoloni D. On dislocation damping at low frequencies. ACTA ACUST UNITED AC 1993. [DOI: 10.1080/01418619308219371] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
102
Wang Z, Shi D. Thermally activated flux avalanches in single crystals of high-Tc superconductors. PHYSICAL REVIEW. B, CONDENSED MATTER 1993;48:9782-9787. [PMID: 10007228 DOI: 10.1103/physrevb.48.9782] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
103
Wang Z, Shi D. Effect of flux avalanches on activation energy in type-II superconductors: Evidence for self-organized criticality. PHYSICAL REVIEW. B, CONDENSED MATTER 1993;48:4208-4211. [PMID: 10008887 DOI: 10.1103/physrevb.48.4208] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
104
Carlson JM, Grannan ER, Singh C, Swindle GH. Fluctuations in self-organizing systems. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993;48:688-698. [PMID: 9960647 DOI: 10.1103/physreve.48.688] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
105
Sneppen K, Jensen MH. Colored activity in self-organized critical interface dynamics. PHYSICAL REVIEW LETTERS 1993;71:101-104. [PMID: 10054383 DOI: 10.1103/physrevlett.71.101] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
106
Ceva H, Perazzo RP. From self-organized criticality to first-order-like behavior: A new type of percolative transition. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993;48:157-160. [PMID: 9960577 DOI: 10.1103/physreve.48.157] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
107
Cannelli G, Cantelli R, Cordero F. Self-organized criticality of the fracture processes associated with hydrogen precipitation in niobium by acoustic emission. PHYSICAL REVIEW LETTERS 1993;70:3923-3926. [PMID: 10054000 DOI: 10.1103/physrevlett.70.3923] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
108
Higgins MJ, Middleton AA, Bhattacharya S. Scaling near mode locking in a charge density wave conductor. PHYSICAL REVIEW LETTERS 1993;70:3784-3787. [PMID: 10053961 DOI: 10.1103/physrevlett.70.3784] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
109
Machta J, Candela D, Hallock RB. Self-organized criticality in 4He with a heat current. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993;47:4581. [PMID: 9960538 DOI: 10.1103/physreve.47.4581] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
110
Myers CR, Sethna JP. Collective dynamics in a model of sliding charge-density waves. I. Critical behavior. PHYSICAL REVIEW. B, CONDENSED MATTER 1993;47:11171-11193. [PMID: 10005252 DOI: 10.1103/physrevb.47.11171] [Citation(s) in RCA: 46] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
111
Chhabra AB, Feigenbaum MJ, Kadanoff LP, Kolan AJ, Procaccia I. Sandpiles, avalanches, and the statistical mechanics of nonequilibrium stationary states. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993;47:3099-3121. [PMID: 9960363 DOI: 10.1103/physreve.47.3099] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
112
Evesque P, Fargeix D, Habib P, Luong MP, Porion P. Pile density is a control parameter of sand avalanches. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993;47:2326-2332. [PMID: 9960262 DOI: 10.1103/physreve.47.2326] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
113
Vasconcelos GL, Nagel SR. Dynamics of spring-block models: Tuning to criticality. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993;47:R2221-R2224. [PMID: 9960338 DOI: 10.1103/physreve.47.r2221] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
114
Middleton AA, Fisher DS. Critical behavior of charge-density waves below threshold: Numerical and scaling analysis. PHYSICAL REVIEW. B, CONDENSED MATTER 1993;47:3530-3552. [PMID: 10006452 DOI: 10.1103/physrevb.47.3530] [Citation(s) in RCA: 61] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
115
Bretz M, Cunningham JB, Kurczynski PL, Nori F. Imaging of avalanches in granular materials. PHYSICAL REVIEW LETTERS 1992;69:2431-2434. [PMID: 10046483 DOI: 10.1103/physrevlett.69.2431] [Citation(s) in RCA: 26] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
116
Nakanishi H. Earthquake dynamics driven by a viscous fluid. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992;46:4689-4692. [PMID: 9908685 DOI: 10.1103/physreva.46.4689] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
117
Díaz-Guilera A. Noise and dynamics of self-organized critical phenomena. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992;45:8551-8558. [PMID: 9906954 DOI: 10.1103/physreva.45.8551] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
118
Tadic B, Nowak U, Usadel KD, Ramaswamy R, Padlewski S. Scaling behavior in disordered sandpile automata. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992;45:8536-8545. [PMID: 9906952 DOI: 10.1103/physreva.45.8536] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
119
Hwa T, Kardar M. Avalanches, hydrodynamics, and discharge events in models of sandpiles. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992;45:7002-7023. [PMID: 9906772 DOI: 10.1103/physreva.45.7002] [Citation(s) in RCA: 29] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
120
Christensen K, Olami Z, Bak P. Deterministic 1/f noise in nonconserative models of self-organized criticality. PHYSICAL REVIEW LETTERS 1992;68:2417-2420. [PMID: 10045392 DOI: 10.1103/physrevlett.68.2417] [Citation(s) in RCA: 30] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
121
Kadanoff LP, Chhabra AB, Kolan AJ, Feigenbaum MJ, Procaccia I. Critical indices for singular diffusion. PHYSICAL REVIEW A 1992;45:6095-6098. [PMID: 9907708 DOI: 10.1103/physreva.45.6095] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
122
Bántay P, Jánosi IM. Avalanche dynamics from anomalous diffusion. PHYSICAL REVIEW LETTERS 1992;68:2058-2061. [PMID: 10045293 DOI: 10.1103/physrevlett.68.2058] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
123
Jaeger HM, Nagel SR. Physics of the Granular State. Science 1992;255:1523-31. [PMID: 17820163 DOI: 10.1126/science.255.5051.1523] [Citation(s) in RCA: 426] [Impact Index Per Article: 13.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
124
Lee S, Tzeng W. Hidden conservation law for sandpile models. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992;45:1253-1254. [PMID: 9907092 DOI: 10.1103/physreva.45.1253] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
125
Martys N, Robbins MO, Cieplak M. Scaling relations for interface motion through disordered media: Application to two-dimensional fluid invasion. PHYSICAL REVIEW. B, CONDENSED MATTER 1991;44:12294-12306. [PMID: 9999384 DOI: 10.1103/physrevb.44.12294] [Citation(s) in RCA: 71] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
126
Diodati P, Marchesoni F, Piazza S. Acoustic emission from volcanic rocks: An example of self-organized criticality. PHYSICAL REVIEW LETTERS 1991;67:2239-2243. [PMID: 10044376 DOI: 10.1103/physrevlett.67.2239] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
127
Shi D, Salem-Sugui S. Magnetic relaxation in YBa2Cu3Ox. PHYSICAL REVIEW. B, CONDENSED MATTER 1991;44:7647-7653. [PMID: 9998680 DOI: 10.1103/physrevb.44.7647] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
128
Lee S, Liang NY, Tzeng W. Exact solution of a deterministic sandpile model in one dimension. PHYSICAL REVIEW LETTERS 1991;67:1479-1481. [PMID: 10044166 DOI: 10.1103/physrevlett.67.1479] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
129
Fodor Z, Jánosi IM. Results on the continuous-energy self-organized critical model in one dimension. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991;44:1386-1389. [PMID: 9906088 DOI: 10.1103/physreva.44.1386] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
130
Liu C, Jaeger HM, Nagel SR. Finite-size effects in a sandpile. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991;43:7091-7092. [PMID: 9905071 DOI: 10.1103/physreva.43.7091] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
131
Nakanishi H. Statistical properties of the cellular-automaton model for earthquakes. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991;43:6613-6621. [PMID: 9905013 DOI: 10.1103/physreva.43.6613] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
132
Erzan A, Sinha S. Spatiotemporal intermittency on the sandpile. PHYSICAL REVIEW LETTERS 1991;66:2750-2753. [PMID: 10043607 DOI: 10.1103/physrevlett.66.2750] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
133
Pietronero L, Schneider WR. Fixed scale transformation approach to the nature of relaxation clusters in self-organized criticality. PHYSICAL REVIEW LETTERS 1991;66:2336-2339. [PMID: 10043459 DOI: 10.1103/physrevlett.66.2336] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
134
Evesque P. Analysis of the statistics of sandpile avalanches using soil-mechanics results and concepts. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991;43:2720-2740. [PMID: 9905339 DOI: 10.1103/physreva.43.2720] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
135
Furukawa H. Structural enhancement of single-particle diffusivity in phase-separating systems. PHYSICAL REVIEW. B, CONDENSED MATTER 1991;43:3200-3203. [PMID: 9997626 DOI: 10.1103/physrevb.43.3200] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
136
Carlson JM, Chayes JT, Grannan ER, Swindle GH. Self-orgainzed criticality and singular diffusion. PHYSICAL REVIEW LETTERS 1990;65:2547-2550. [PMID: 10042625 DOI: 10.1103/physrevlett.65.2547] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
137
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: 2.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
138
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]
139
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]
140
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]
141
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: 2.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
142
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: 83] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
143
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]
144
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]
145
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]
146
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]
147
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]
148
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]
149
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: 3.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
150
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]
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