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Stella AL, Tebaldi C, Caldarelli G. Self-organized critical scaling at surfaces. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 52:72-75. [PMID: 9963406 DOI: 10.1103/physreve.52.72] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Chang D, Lee SC, Tzeng WJ. Exact solution of a one-dimensional deterministic sandpile model. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 51:5515-5519. [PMID: 9963284 DOI: 10.1103/physreve.51.5515] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Ali AA, Dhar D. Breakdown of simple scaling in Abelian sandpile models in one dimension. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 51:R2705-R2708. [PMID: 9963076 DOI: 10.1103/physreve.51.r2705] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Vespignani A, Zapperi S, Pietronero L. Renormalization approach to the self-organized critical behavior of sandpile models. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 51:1711-1724. [PMID: 9962830 DOI: 10.1103/physreve.51.1711] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Grinstein G. Generic scale invariance and self-organized criticality. SCALE INVARIANCE, INTERFACES, AND NON-EQUILIBRIUM DYNAMICS 1995. [DOI: 10.1007/978-1-4899-1421-7_11] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/02/2022]
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Chau HF. Inverse avalanches on Abelian sandpiles. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 50:4226-4227. [PMID: 9962478 DOI: 10.1103/physreve.50.4226] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Csilling Á, Jánosi IM, Pásztor G, Scheuring I. Absence of chaos in a self-organized critical coupled map lattice. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 50:1083-1092. [PMID: 9962066 DOI: 10.1103/physreve.50.1083] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Gabrielov A, Newman WI, Knopoff L. Lattice models of failure: Sensitivity to the local dynamics. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 50:188-197. [PMID: 9961956 DOI: 10.1103/physreve.50.188] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Robinson PA. Scaling properties of self-organized criticality. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 49:3919-3926. [PMID: 9961679 DOI: 10.1103/physreve.49.3919] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Dhar D, Manna SS. Inverse avalanches in the Abelian sandpile model. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 49:2684-2687. [PMID: 9961532 DOI: 10.1103/physreve.49.2684] [Citation(s) in RCA: 46] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Nayak SK, Ramaswamy R. Complex dynamics of atomic clusters. J CHEM SCI 1994. [DOI: 10.1007/bf02840767] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Pietronero L, Vespignani A, Zapperi S. Renormalization scheme for self-organized criticality in sandpile models. PHYSICAL REVIEW LETTERS 1994; 72:1690-1693. [PMID: 10055676 DOI: 10.1103/physrevlett.72.1690] [Citation(s) in RCA: 29] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Robinson PA. Self-organized criticality involving vector fields and random driving. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 49:1984-1989. [PMID: 9961438 DOI: 10.1103/physreve.49.1984] [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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Grassberger P. Efficient large-scale simulations of a uniformly driven system. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 49:2436-2444. [PMID: 9961487 DOI: 10.1103/physreve.49.2436] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Chau HF, Ho C. Effects of the relative scales between particles added and toppled each time on the distribution of avalanche size in Abelian sandpiles. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 49:902-905. [PMID: 9961284 DOI: 10.1103/physreve.49.902] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Hu JP, Ding M. Phase representation and its application in the analytical treatment of the theoretical sandpile. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 49:R5-R7. [PMID: 9961295 DOI: 10.1103/physreve.49.r5] [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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Drossel B, Clar S, Schwabl F. Exact results for the one-dimensional self-organized critical forest-fire model. PHYSICAL REVIEW LETTERS 1993; 71:3739-3742. [PMID: 10055061 DOI: 10.1103/physrevlett.71.3739] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Majumdar SN, Sire C. Exact dynamics of a class of aggregation models. PHYSICAL REVIEW LETTERS 1993; 71:3729-3732. [PMID: 10055057 DOI: 10.1103/physrevlett.71.3729] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Garcia JB, Gomes MA, Jyh TI, Ren TI, Sales TR. Nonlinear dynamics of the cellular-automaton "game of Life". PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993; 48:3345-3351. [PMID: 9960991 DOI: 10.1103/physreve.48.3345] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Christensen K, Olami Z. Sandpile models with and without an underlying spatial structure. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993; 48:3361-3372. [PMID: 9960993 DOI: 10.1103/physreve.48.3361] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Ouyang HF, Lu YN, Ding EJ. Two-dimensional sandpile model with stochastic slide. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993; 48:2413-2417. [PMID: 9960873 DOI: 10.1103/physreve.48.2413] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Chau HF. Abelian sandpile model. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993; 47:R3815-R3817. [PMID: 9960556 DOI: 10.1103/physreve.47.r3815] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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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]
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Chau HF, Cheng KS. N-dimensional Abelian sandpile model with nearest-neighbor toppling. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993; 47:2394-2400. [PMID: 9960270 DOI: 10.1103/physreve.47.2394] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Socolar JE, Grinstein G, Jayaprakash C. On self-organized criticality in nonconserving systems. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993; 47:2366-2376. [PMID: 9960267 DOI: 10.1103/physreve.47.2366] [Citation(s) in RCA: 75] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Carlson JM, Grannan ER, Swindle GH. Self-organizing systems at finite driving rates. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993; 47:93-105. [PMID: 9959984 DOI: 10.1103/physreve.47.93] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Ding EJ, Lu YN, Ouyang HF. Theoretical sandpile with stochastic slide. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 46:R6136-R6139. [PMID: 9907996 DOI: 10.1103/physreva.46.r6136] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Colet P, Wiesenfeld K. Nonlinear dynamics of a breakable chain at threshold: Large-N results. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 46:4676-4688. [PMID: 9908684 DOI: 10.1103/physreva.46.4676] [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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Chau HF, Cheng KS. Relations of 1/f and 1/f2 power spectra to self-organized criticality. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 46:R2981-R2983. [PMID: 9908538 DOI: 10.1103/physreva.46.r2981] [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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Markosová M, Markos P. Analytical calculation of the attractor periods of deterministic sandpiles. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 46:3531-3534. [PMID: 9908522 DOI: 10.1103/physreva.46.3531] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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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]
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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]
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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]
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Wiesenfeld K, Sherwin M. Nonlinear dynamics of a breakable chain at threshold. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 45:3467-3470. [PMID: 9907394 DOI: 10.1103/physreva.45.3467] [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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Sasai M, Ohmine I, Ramaswamy R. Long time fluctuation of liquid water: 1/f spectrum of energy fluctuation in hydrogen bond network rearrangement dynamics. J Chem Phys 1992. [DOI: 10.1063/1.461950] [Citation(s) in RCA: 73] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Chau HF, Cheng KS. Generalized sandpile model and the characterization of the existence of self-organized criticality. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 44:6233-6240. [PMID: 9905755 DOI: 10.1103/physreva.44.6233] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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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]
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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]
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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: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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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]
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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]
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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]
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