منابع مشابه
Linear and Branched Polymers on Fractals
This is a pedagogical review of the subject of linear polymers on deterministic finitely ramified fractals. For these, one can determine the critical properties exactly by real-space renormalization group technique. We show how this is used to determine the critical exponents of self-avoiding walks on different fractals. The behavior of critical exponents for the n-simplex lattice in the limit ...
متن کاملBranched polymers on the Given-Mandelbrot family of fractals.
We study the average number A (n) per site of the number of different configurations of a branched polymer of n bonds on the Given-Mandelbrot family of fractals using exact real-space renormalization. Different members of the family are characterized by an integer parameter b , 2 < or = b < or = infinity . The fractal dimension varies from log(2) 3 to 2 as b is varied from 2 to infinity. We fin...
متن کاملInteracting Linear Polymers on Three–dimensional Sierpinski Fractals
Using self–avoiding walk model on three–dimensional Sierpinski fractals (3d SF) we have studied critical properties of self–interacting linear polymers in porous environment, via exact real–space renormalization group (RG) method. We have found that RG equations for 3d SF with base b = 4 are much more complicated than for the previously studied b = 2 and b = 3 3d SFs. Numerical analysis of thes...
متن کاملPolymeric fractals and the unique treatment of polymers
2014 It has been suggested that r-fractals allow a uniform description of arbitrarily connected polymers. r is the exponent of the maximal possible radius of gyration, i.e. R ~ Nr. We conjecture that 1/r is identical with the spectral dimension of the polymeric fractal. Tome 49 N° 9 SEPTEMBRE 1988 LE JOURNAL DE PHYSIQUE J. Phys. France 49 (1988) 1481-1483 SEPTEMBRE 1988, Classification Physics ...
متن کاملSelfsimilar Fractals and Selfsimilar Random Fractals
We survey the application of contraction mapping argments to selfsimilar (nonrandom) fractal sets, measures and functions. We review the results for selfsimilar random fractal sets and measures and show how the method and extensions also work for selfsimilar random fractal functions.
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ژورنال
عنوان ژورنال: Kobunshi
سال: 1989
ISSN: 0454-1138,2185-9825
DOI: 10.1295/kobunshi.38.1070