54 citations · 445 across the 44 of their papers we have counts for
14 papers · 1 filter
Collective Movement with Signaling
Mohammad Salahshour, Shahin Rouhani
We consider a population of mobile agents able to make noisy observation of the environment and communicate their observation by production and comprehension of signals. Individual…
The expectation value of the number of loops and the left-passage probability in the double-dimer model
Nahid Ghodratipour, Shahin Rouhani
We study various statistical properties of the double-dimer model, a generalization of the dimer model, on rectangular domains of the square lattice. We take advantage of the Grass…
Model of contact friction based on extreme value statistics
Azadeh Malekan, Shahin Rouhani
We propose a model based on extreme value statistics (EVS) and combine it with different models for single asperity contact, including adhesive and elasto-plastic contacts, to deri…
Loop erased random walk on percolation cluster: Crossover from Euclidean to fractal geometry
E. Daryaei, S. Rouhani
We study loop erased random walk (LERW) on the percolation cluster, with occupation probability , in two and three dimensions. We find that the fractal dimensions of LER…
Discrete Holomorphic Parafermions in the Eight Vertex Model
M. Tanhayi-Ahari, S. Rouhani
We show that holomorphic Parafermions exist in the eight vertex model. This is done by extending the definition from the six vertex model to the eight vertex model utilizing a para…
Watersheds are Schramm-Loewner Evolution curves
E. Daryaei, N. A. M. Araujo, K. J. Schrenk +2
We show that in the continuum limit watersheds dividing drainage basins are Schramm-Loewner Evolution (SLE) curves, being described by one single parameter . Several numerical e…
First passage time processes and subordinated SLE
M. Ghasemi Nezhadhaghighi, M. A. Rajabpour, S. Rouhani
We study the first passage time processes of anomalous diffusion on self similar curves in two dimensions. The scaling properties of the mean square displacement and mean first pas…
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 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…
SLE with Jumps and Conformal Null Vectors
S. Moghimi-Araghi, M. A. Rajabpour, S. Rouhani
Ordinary SLE is defined using a Wiener noise and is related to CFT's which have null vector at level two of conformal tower. In this paper we introduce stochastic variables w…
Abelian Sandpile Model: a Conformal Field Theory Point of View
S. Moghimi-Araghi, M. A. Rajabpour, S. Rouhani
In this paper we derive the scaling fields in conformal field theory associated with weakly allowed clusters in abelian sandpile model and show a direct relation between the…
On the Probability of Occurrence of Clusters in Abelian Sandpile Model
M. Moradi, S. Rouhani
We have performed extensive simulations on the Abelian Sandpile Model (ASM) on square lattice. We have estimated the probability of observation of many clusters. Some are in good a…
Exact Exponents of Supersonic Turbulence in Arbitrary Dimensions
A. Naji, S. Rouhani, A. R. Rastegar
This paper has been withdrawn