Multifractal Behavior of the Two-Dimensional Ising Model at Small Spatio-Temporal Scales

Journal of the Physical Society of Japan

Volumn 71, Issue 4, 2002, Pages 1200-1201

  Sakikawa, Wataru ^a   Narikiyo, Osamu ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

Large deviation; Multifractal; Non equilibrium; R nyi entropy; Tsallis entropy

Indexed keywords

ARTICLE; ENTROPY; FRACTAL ANALYSIS; ISING MODEL; MODEL; MOLECULAR PHYSICS; MONTE CARLO METHOD;

EID: 0036246910     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.71.1200     Document Type: Article

References (8)

1. H. Fujisaka and H. Tutu: unpublished work where the coarse-grained order-parameter measured by the Monte-Carlo simulation is analyzed in terms of the entropy function of the large-deviation theory.
2. C. J. G. Evertsz and B. B. Mandelbrot: Chaos and Fractals, ed. H.-O. Peitgen, H. Jürgens and D. Saupe (Springer-Verlag, New York, 1992) p. 921.
3. T. Olson and A. P. Young: Phys. Rev. B 60 (1999) 3428 and references therein.
4. N. Ito and M. Suzuki: Prog. Theor. Phys. 77 (1987) 1391.
5. H. Fujisaka and M. Inoue: Phys. Rev. A 39 (1989) 1376.
6. C. Tsallis: Nonextensive Statistical Mechanics and Its Applications, ed. S. Abe and Y. Okamoto (Springer-Verlag, Berlin, 2001) p. 3.
7. T. Arimitsu and N. Arimitsu: Physica A 295 (2001) 177.
8. B. K. Shivamoggi and C. Beck: J. Phys. A 34 (2001) 4003.