Direct evidence for weak universality on fractal structures

✍ Scribed by Pascal Monceau; Pai-Yi Hsiao

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 278 KB
• Volume: 331
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2003.09.045

✦ Synopsis

We provide a direct quantitative evidence that the critical behavior of the Ising model on self-similar lattices depends upon the geometrical features of the underlying structure. Intensive Monte Carlo simulations enable to show that the values of the ratio of exponents = depend upon the lacunarity of the structure, which measures the deviation from the translational symmetry. Finally, the topological character of the scaling corrections when the fractal dimension is smaller than 2 is discussed.