45 citations · 152 across the 8 of their papers we have counts for
8 papers
Fractal structure of a three dimensional Brownian motion on an attractive plane
Abbas Ali Saberi
Consider a Brownian particle in three dimensions which is attracted by a plane with a strength proportional to some dimensionless parameter . We investigate the fractal spatial…
Thermal Behavior of Spin Clusters and Interfaces in two-dimensional Ising Model on Square Lattice
A. A. Saberi
Extensive Monte Carlo study of two-dimensional Ising model is done to investigate the statistical behavior of spin clusters and interfaces as a function of temperature, . We use…
Scaling and Multiscaling Behavior of the Perimeter of Diffusion-Limited Aggregation (DLA) Generated by the Hastings-Levitov Method
F. Mohammadi, A. A. Saberi, S. Rouhani
In this paper, we analyze the scaling behavior of \emph{Diffusion Limited Aggregation} (DLA) simulated by Hastings-Levitov method. We obtain the fractal dimension of the clusters b…
Scaling of Clusters and Winding Angle Statistics of Iso-height Lines in two-dimensional KPZ Surface
A. A. Saberi, S. Rouhani
We investigate the statistics of Iso-height lines of (2+1)-dimensional Kardar-Parisi-Zhang model at different level sets around the mean height in the saturation regime. We find th…
Conformal Invariance of Iso-height Lines in two-dimensional KPZ Surface
A. A. Saberi, M. D. Niry, S. M. Fazeli +2
The statistics of the iso-height lines in (2+1)-dimensional Kardar-Parisi-Zhang (KPZ) model is shown to be conformal invariant and equivalent to those of self-avoiding random walks…
Conformal Curves on Surface
A. A. Saberi, M. A. Rajabpour, S. Rouhani
We have studied the iso-height lines on the surface as a physical candidate for conformally invariant curves. We have shown that these lines are conformally invaria…