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Research Interests

Statistical Mechanics, Conformal Field Theory, Self-Organized Critically

Research Plan

There exist many different phenomena in physics that studied using statistical methods. That is, to understand them one needs statistical mechanics' tools. One of these phenomena is phase transition (like ferromagnetism-paramagnetism phase transition). Just at the transition point, or critical point, exciting phenomena are observe: fractal behaviour, scaling laws, universality, etc. The fractal behaviour means scale (and possibly conformal) symmetry, hence a good tool to study phase transitions is Conformal Field Theory (CFT).
There are some systems that tend to criticality without tuning an external parameter like temperature; the dynamics takes them to criticality. Earthquakes, mountain heights and coastlines are some examples. Self-Organized Criticality (SOC) studies the properties of such systems, the simplest and best-studied SOC model is Sandpile model.

Selected Publications

• Abelian Sandpile Model on the Honeycomb Lattice
  J.Stat Mech.1002:P02004,2010
  N. Azimi-Tafreshi, H. Dashti-Naserabadi, S. Moghimi-Araghi, P. Ruelle

• Direct Evidence for Conformal Invariance of Avalanche Frontier in Sandpile Models
  Phys.Rev.E79:031121,2009
  A. A. Saberi, S. Moghimi-Araghi, H. Dashti-Naserabadi and, S. Rouhani

• The spatial asymmetric two-dimensional continuous Abelian sandpile model
  J. Phys. A: Math. Theor. 41 (2008) 435002
  N Azimi-Tafreshi, H Dashti-Naserabadi and S Moghimi-Araghi

• SLE(κ,ρ) and Boundary Coulomb Gas
  Nucl.Phys. B740[PM] (2006) 348-357 (hep-th/0508047)
  S. Moghimi-Araghi, M. A. Rajabpour, S. Rouhani

• Abelian Sandpile Model: A Conformal Field Theory Point of View
  Nucl.Phys. B718 (2005) 362-370 (cond-mat/0410434)
  S. Moghimi-Araghi, M. A. Rajabpour, S. Rouhani