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20112025
most citedAvalanche frontiers in dissipative abelian sandpile model as off-critical SLE(2)

32 citations · 93 across the 12 of their papers we have counts for

collaborators

12 papers

cond-mat.stat-mech2025

Depinning of KPZ Interfaces in Fractional Brownian Landscapes

Neda Valizadeh, Morteza Nattagh Najafi

We explore the critical dynamics of driven interfaces propagating through a two dimensional disordered medium with long range spatial correlations, modeled using fractional Brownia…

nlin.PS2025

Fractional Nonlinear Schrodinger Equation Revisited

Morteza Nattagh Najafi, Fatemeh Foroughirad

We investigate the space time fractional nonlinear Schrodinger equation (FNLSE) incorporating the modified Riemann Liouville derivative introduced by Jumari. The equation is charac…

cond-mat.stat-mech2025

Emergent Dynamical Ising Transition in Diffusive Sandpiles

Armin Makani, Morteza Nattagh Najafi

Minimally stable site (MSS) clusters play a dominant role in shaping avalanches in the self-organized critical (SOC) systems. The manipulation of MSS clusters through local smoothi…

cond-mat.stat-mech2022

Simulating Cumulus Clouds based on Self-Organized Criticality

J. Cheraghalizadeh, M. Luković, M. N. Najafi

Recently it was shown that self-organized criticality is an important ingredient of the dynamics of cumulus clouds (Physical Review E, 103(5), p.052106, 2021). Here we introduce a…

cond-mat.stat-mech2018★ 3 cited

The effect of retardation in the random networks of excitable nodes embeddable in the Euclidean space

M. N. Najafi, M. Rahimi

Some features of random networks with excitable nodes that are embeddable in the Euclidean space are not describable in terms of the conventional integrate and fire model (IFM) alo…

cond-mat.stat-mech2018★ 7 cited

Sandpile on uncorrelated site-diluted percolation lattice; From three to two dimensions

M. N. Najafi, H. Dashti-Naserabadi

The BTW sandpile model is considered on three dimensional percolation lattice which is tunned with the occupation parameter . Along with the three-dimensional avalanches, we stu…

cond-mat.stat-mech2016

Conformal symmetry of electron-hole puddles in ungated graphene

M. N. Najafi, M. Ghasemi Nezhadhaghighi

In this paper the mono-layer graphene at the charge neutrality point is considered whithin Thomas-Fermi-Dirac theory, treating inhomogeneous external potentials and electron-electr…

cond-mat.stat-mech2015★ 16 cited

Fokker-Planck Equation of Schramm-Loewner Evolution

M. N. Najafi

In this paper we statistically analyze the Fokker-Planck (FP) equation of Schramm-Loewner evolution (SLE) and its variant SLE(). After exploring the derivation and the prope…

cond-mat.stat-mech2013★ 10 cited

Bak-Tang-Wiesenfeld Model in the Finite Range Random Link Lattice

M. N. Najafi

We consider the BTW model in random link lattices with finite range interaction (RLFRI). The degree distribution for nodes is considered to be uniform in the interval . We…

cond-mat.stat-mech2012★ 1 cited

Numerical Determination of Boundary Condition Changing Operators

M. N. Najafi

A new numerical method to determine the boundary condition changing (bcc) operators in the statistical models is introduced. This method is based on a variant of Schramm-Loewner Ev…

cond-mat.stat-mech2012★ 32 cited

Avalanche frontiers in dissipative abelian sandpile model as off-critical SLE(2)

M. N. Najafi, Saman Moghimi-Araghi, S. Rouhani

Avalanche frontiers in Abelian Sandpile Model (ASM) are random simple curves whose continuum limit is known to be a Schramm-Loewner Evolution (SLE) with diffusivity parameter $κ= 2…

cond-mat.stat-mech2011★ 24 cited

Observation of SLE on the Critical Statistical Models

M. N. Najafi, S. Moghimi-Araghi, S. Rouhani

Schramm-Loewner Evolution (SLE) is a stochastic process that helps classify critical statistical models using one real parameter . Numerical study of SLE often involves curves t…