432 citations · 986 across the 52 of their papers we have counts for
33 papers · 1 filter
Emergent Equilibrium Structure Along a Critical Cluster Recursion
Shuo Wei, Abbas Ali Saberi, Youjin Deng
Critical universality does not determine the microscopic conditional structure of a probability measure. We study a bicolored cluster recursion constrained to remain critical at ev…
Large-deviation tails of critical order-parameter distributions
Jinhong Zhu, Yihao Xu, Abbas Ali Saberi +1
Large-deviation tails of critical probability distributions provide a sensitive probe of universality beyond standard finite-size scaling. We study these tails for critical percola…
Long-Range Correlated Random Matrices
Abbas Ali Saberi, Roderich Moessner
Motivated by the importance ascribed to correlations in random matrices used to model phenomena in various scientific disciplines, we report how algebraic correlations between matr…
Superstable Geometry in Triadic Percolation
Fatemeh Aghaei, Abbas Ali Saberi, Holger Kantz +1
Triadic percolation turns bond percolation into a dynamical problem governed by an effective one-dimensional unimodal map. We show that the geometry of superstable cycles provides…
Central Limit Behavior at the Edge of Chaos in the z-Logistic Map
Abbas Ali Saberi, Ugur Tirnakli, Constantino Tsallis
We focus on the FeigenbaumCoulletTresser point of the dissipative one-dimensional z logistic map. We show that sums of iterates converge to q Gaussian distributions, which optimize…
Interaction-correlated random matrices
Abbas Ali Saberi, Sina Saber, Roderich Moessner
We introduce a family of random matrices where correlations between matrix elements are induced via interaction-derived Boltzmann factors. Varying these yields access to different…
Eigenstate plateau transition and equilibration in 1D quantum lattice models
Wei-Han Li, Abbas Ali Saberi
We report on a remarkable spectral phenomenon in a generic type of quantum lattice gas model. As the interaction strength increases, eigenstates spontaneously reorganize and lead t…
Exact finite-size scaling for the random-matrix representation of bond percolation on square lattice
Azadeh Malekan, Sina Saber, Abbas Ali Saberi
We report on the exact treatment of a random-matrix representation of bond percolation model on a square lattice in two dimensions with occupation probability . The percolation…
Universality class of epidemic percolation transitions driven by random walks
Mohadeseh Feshanjerdi, Abbas Ali Saberi
Inspired by the recent viral epidemic outbreak and its consequent worldwide pandemic, we devise a model to capture the dynamics and the universality of the spread of such infectiou…
Universal scaling and criticality of extremes in random matrix theory
Sina Saber, Abbas Ali Saberi
We present a random-matrix realization of a two-dimensional percolation model with the occupation probability . We find that the behavior of the model is governed by the two fir…
Two-dimensional Super-roughening in Three-dimensional Ising Model
Hor Dashti-Naserabadi, Abbas Ali Saberi, S. H. E. Rahbari +1
We present a random-interface representation of the three-dimensional (3D) Ising model based on thermal fluctuations of a uniquely defined geometric spin cluster in the 3D model an…
Effect of heterogeneity and spatial correlations on the structure of tumor invasion front in cellular environments
Youness Azimzade, Abbas Ali Saberi, Muhammad Sahimi
Analysis of invasion front has been widely used to decipher biological properties, as well as the growth dynamics of the corresponding populations. Likewise, the invasion front of…
Random Walks on Intersecting Geometries
Reza Sepehrinia, Abbas Ali Saberi, Hor Dashti-Naserabadi
We present an analytical approach to study simple symmetric random walks (RWs) on a crossing geometry consisting of a plane square lattice crossed by number of lines that all…
Competing Universalities in Kardar-Parisi-Zhang (KPZ) Growth Models
Abbas Ali Saberi, Hor Dashti-N., Joachim Krug
We report on the universality of height fluctuations at the crossing point of two interacting (1+1)-dimensional Kardar-Parisi-Zhang (KPZ) interfaces with curved and flat initial co…
Characterizing rare fluctuations in soft particulate flows
S. H. E. Rahbari, A. A. Saberi, H. Park +1
Soft particulate media include a wide range of systems involving athermal dissipative particles both in non-living and biological materials. Characterization of flows of particulat…
Universality in boundary domain growth by sudden bridging
A. A. Saberi, S. H. Ebrahimnazhad Rahbari, H. Dashti-Naserabadi +3
We report on universality in boundary domain growth in cluster aggregation in the limit of maximum concentration. Maximal concentration means that the diffusivity of the clusters i…
Recent advances in percolation theory and its applications
Abbas Ali Saberi
Percolation is the simplest fundamental model in statistical mechanics that exhibits phase transitions signaled by the emergence of a giant connected component. Despite its very si…
Growth models on the Bethe lattice
Abbas Ali Saberi
I report on an extensive numerical investigation of various discrete growth models describing equilibrium and nonequilibrium interfaces on a substrate of a finite Bethe lattice. An…
Percolation description of the global topography of Earth and Moon
Abbas Ali Saberi
Remarkable global correlations exist between geometrical features of terrestrial surface on the Earth, current mean sea level and its geological internal processes whose origins ha…
Roughening transition and universality of single step growth models in (2+1)-dimensions
H. Dashti-Naserabadi, A. A. Saberi, S. Rouhani
We study (2+1)-dimensional single step model (SSM) for crystal growth including both deposition and evaporation processes parametrized by a single control parameter . Using exte…
Attracted Diffusion-Limited Aggregation
S. H. Ebrahimnazhad Rahbari, A. A. Saberi
In this paper, we present results of extensive Monte Carlo simulations of diffusion-limited aggregation (DLA) with a seed placed on an attractive plane as a simple model in connect…
Critical behavior of the geometrical spin clusters and interfaces in the two-dimensional thermalized bond Ising model
S. Davatolhagh, M. Moshfeghian, A. A. Saberi
The fractal dimensions and the percolation exponents of the geometrical spin clusters of like sign at criticality, are obtained numerically for an Ising model with temperature-depe…
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…
Three Dimensional Ising Model, Percolation Theory and Conformal Invariance
Abbas Ali Saberi, Horr Dashti-Naserabadi
The fractal structure and scaling properties of a 2d slice of the 3d Ising model is studied using Monte Carlo techniques. The percolation transition of geometric spin (GS) clusters…