Crossover exponent for piecewise directed walk adsorption on Sierpinski fractals

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Crossover exponent for piecewise directed walk adsorption on Sierpinski fractals

We study the problem of critical adsorption of piecewise directed random walks on a boundary of fractal lattices that belong to the Sierpinski gasket family. By applying the exact real space renormalization group method, we calculate the crossover exponent φ, associated with the number of adsorbed steps, for the complete fractal family. We demonstrate that our results are very close to the resu...

متن کامل

Phase Transitions on Sierpinski Fractals

The present paper focuses on the order-disorder transition of an Ising model on a self-similar lattice. We present a numerical study, based on the Monte Carlo method in conjunction with the finite size scaling method, of the critical properties of the Ising model on a two dimensional deterministic fractal lattice of Hausdorff dimension dH = ln 8/ ln 3 = 1.89278926.... We give evidence of the ex...

متن کامل

Interacting 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 کامل

The Intersection Exponent For Simple Random Walk

The intersection exponent for simple random walk in two and three dimensions gives a measure of the rate of decay of the probability that paths do not intersect. In this paper we show that the intersection exponent for random walks is the same as that for Brownian motion and show in fact that the probability of nonintersection up to distance n is comparable (equal up to multiplicative constants...

متن کامل

Self-assembly of the Discrete Sierpinski Carpet and Related Fractals

It is well known that the discrete Sierpinski triangle can be defined as the nonzero residues modulo 2 of Pascal’s triangle, and that from this definition one can easily construct a tileset with which the discrete Sierpinski triangle self-assembles in Winfree’s tile assembly model. In this paper we introduce an infinite class of discrete self-similar fractals that are defined by the residues mo...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and General

سال: 1999

ISSN: 0305-4470,1361-6447

DOI: 10.1088/0305-4470/32/8/004