Abstract
At the critical point of the simple cubic Ising model, the radius of Coniglio-Klein clusters containings sites each is found by Monte Carlo simulation to be roughly 0.54s 0.4, consistent with the theoretically expected fractal dimension 2.5.
Similar content being viewed by others
References
Fisher, M.E.: Physics 3, 255 (1967)
Wang, J.S.: Physica A (in press)
Mandelbrot, B.B.: The fractal geometry of nature. San Francisco. Freeman 1982
Kadanoff, L.P.: Varenna Summer School on Critical Phenomena (discussion remarks) (1970)
Stauffer, D., Kiang, C.S., Walker, G.H.: J. Stat. Phys. 3, 323 (1971)
Coniglio, A., Klein, W.: J. Phys. A 13, 2775 (1980)
Swendsen, R.H., Wang, J.S.: Phys. Rev. Lett. 58, 86 (1987)
Alexandrowicz, Z.: Physica A (in press);
Vanderzande, C., Stella, A.L.: J. Phys. A22, L445 (1989)
Le Guillou, J.C., Zinn-Justin, J.: J. Phys. (Paris) 50, 1365 (1989)
Leath, P.L.: Phys. Rev. B14, 5064 (1976);
Wolff, U.: Phys. Rev. Lett. 62, 361 (1989);
Preprint; Tamayo, P., Brower, R.C., Klein, W.: J. Stat. Phys. (in press);
but see Heermann, D.W., Burkitt, A.N.: Physica A (in press)
Alexandrowicz, Z.: Phys. Rev. Lett. 60, 669 (1988)
Parisi, G., Sourlas, N.: Phys. Rev. Lett. 46, 871 (1981)
Author information
Authors and Affiliations
Additional information
Dedicated to Professor W. Brenig on the occasion of his 60th birthday
Rights and permissions
About this article
Cite this article
Wang, JS., Stauffer, D. Fractal dimension of 3D Ising droplets. Z. Physik B - Condensed Matter 78, 145–146 (1990). https://doi.org/10.1007/BF01317367
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01317367