Branched Polymers on the Given-Mandelbrot family of fractals

Details Branched Polymers on the Given-Mandelbrot family of fractals Branched Polymers on the Given-Mandelbrot family of fractals

2005-04-10

arxiv.org/abs/cond-mat/0504223v1

Phys Rev E 71, 031801 (2005)

Physics

Condensed Matter

Statistical Mechanics

24 pages, 8 figures

Scientific paper

10.1103/PhysRevE.71.031801

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, b > 1. The fractal dimension varies from $ log_{_2} 3$ to 2 as b is varied from 2 to infinity. We find that for all b > 2, A_n varies as $ \lambda^n exp(b n ^{\psi})$, where $\lambda$ and $b$ are some constants, and $ 0 < \psi <1$. We determine the exponent $\psi$, and the size exponent $\nu$ (average diameter of polymer varies as $n^\nu$), exactly for all b > 2. This generalizes the earlier results of Knezevic and Vannimenus for b = 3 [Phys. Rev {\bf B 35} (1987) 4988].

Affiliated with

Also associated with

No associations

Rating

Branched Polymers on the Given-Mandelbrot family of fractals does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Branched Polymers on the Given-Mandelbrot family of fractals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Branched Polymers on the Given-Mandelbrot family of fractals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-64000