Scale-free dynamics emerging from information transfer

Europhysics Letters

Volumn 69, Issue 4, 2005, Pages 503-509

  Choi, M Y ^a,b   Kim, Beom Jun ^c   Yoon, B G ^d   Park, Hyunggyu ^b  

^a Seoul National University   (South Korea)

^b Korea Institute for Advanced Study   (South Korea)

^c Ajou University   (South Korea)

^d University of Ulsan   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 14544273186     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2004-10375-2     Document Type: Article

References (20)

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3. BAK P., TANG C. and WIESENFELD K., Phys. Rev. Lett., 59 (1987) 381; BAK P., How Nature Works: The Science of Self-Organized Criticality (Springer-Verlag, New York) 1999.
4. SHANNON C. and WEAVER W., The Mathematical Theory of Communication (University of Illinois, Urbana) 1949; WEHRL A., Rev. Mod. Phys., 50 (1978) 221.
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7. Other forms satisfying the detailed balance condition may be chosen without altering the subsequent analysis.
8. 2 /2N.
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13. JENSEN H. J., CHRISTENSEN K. and FOGEDBY H. C., Phys. Rev. B, 40 (1989) R7425; KERTESZ J. and KISS L. B., J. Phys. A, 23 (1990) L433; BONABEAU E. and LEDERER P., J. Phys. A, 27 (1994) L243.
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18. The value a close to unity has been reported in SOLE R. V., MANRUBIA S. C., BENTON M. and BAK P., Nature, 388 (1997) 764. However, the original 56 data points should be interpolated to produce power law behavior and a depends rather substantially on the detailed procedure such as the number of (interpolated) data points and the cutoff frequency. We have attempted various different procedures, to conclude that the most reliable value of α lies in the range 1.2 to 1.6.
19. Note the similarity to the finite-size effects: Any system in nature as well as in numerical study is in principle finite, and accordingly the relaxation time is finite, albeit long, even in the reversible case. Still scale invariance is observed in practice, as demonstrated in figs. 1-3.
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