Dhar, Deepak (1988) Critical exponents of self-avoiding walks on fractals with dimension 2-ε Journal de physique, 49 (3). pp. 397-403. ISSN 0302-0738
|
PDF
- Publisher Version
1MB |
Official URL: http://jphys.journaldephysique.org/articles/jphys/...
Related URL: http://dx.doi.org/10.1051/jphys:01988004903039700
Abstract
We study critical exponents of self-avoiding walks on a family of finitely ramified Sierpinki-type fractals. The members of the family are characterized by an integer b, 2 ≤ b < ∞. For large b, the fractal dimension of the lattice tends to 2 from below. We use scaling theory to determine the critical exponents for large b. We show that as b → ∞ the susceptibility exponent does not tend to its 2-dimensional value, and determine the leading correction to critical exponents for large but finite b.
Item Type: | Article |
---|---|
Source: | Copyright of this article belongs to EDP Sciences - Les Editions de physique. |
ID Code: | 9423 |
Deposited On: | 02 Nov 2010 12:14 |
Last Modified: | 16 May 2016 19:13 |
Repository Staff Only: item control page