Physics Graduate & Computational Physics Researcher

Master of Science in Physics

Specializing in numerical solutions of the Kardar-Parisi-Zhang equation and computational modeling of surface growth phenomena

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About Me

I am a physics graduate with a Master of Science in Physics, currently serving as a Physics Instructor at Tohid High School in Tabriz, Iran. My academic journey has been focused on computational physics, particularly in the numerical analysis of complex surface growth phenomena.

My research centers around complex systems especially Non-linear systems like the Kardar-Parisi-Zhang (KPZ) equation, where I have developed innovative numerical methods using the Arbitrary Eulerian-Lagrangian approach. This work has given me deep expertise in advanced computational techniques including adaptive mesh refinement, moving-mesh methods, and sophisticated noise generation algorithms.

I am passionate about bridging theoretical physics with computational methods, and I enjoy sharing this knowledge through teaching and mentoring students in both physics and programming.

Key Expertise

Numerical Methods Computational Physics Statistical Mechanics Complex Systems Surface Growth Modeling C++ Programming Mathematical Modeling Data Analysis Scientific Computing

Research

Master's Thesis Research

Numerical solution of the Kardar–Parisi–Zhang (KPZ) equation using the Arbitrary Eulerian–Lagrangian method in 1+1 dimensions

Research focused on surface growth phenomena using advanced numerical methods and computational techniques.

Strong-coupling regime
  • Implemented adaptive mesh refinement
  • Employed a moving-mesh method
  • Utilized the arbitrary Lagrangian–Eulerian (ALE) formulation
  • Developed an algorithm to generate noise sequences with tunable spectral density
Weak-coupling regime
  • Finite difference methods
Additional Research

Discrete surface-growth models

Course Projects & Simulations

Ising Model Simulation

Statistical mechanics simulation study

Brownian Motion

Stochastic process modeling

Epidemic Models

Mathematical epidemiology studies

Economic Systems

Nonlinear models in economics

Lorenz Attractor

Chaos theory and dynamical systems

Hodgkin-Huxley Model

Spiking neuron model analysis

Teaching Experience

Instructor, Physics

Current

TOHiD HIGH SCHOOL

Tabriz, Iran

Dec. 2022 – Present

  • Delivered lessons and conducted experiments

Teaching Assistant, C++ Programming

Completed

Supervisor: Dr. Niry

INSTITUTE FOR ADVANCED STUDIES IN BASIC SCIENCES

Zanjan, Iran

Sep. 2021 – Dec. 2021

  • Weekly online classes (during the COVID-19 pandemic) and graded exercises

Teaching Assistant, Computational Physics

Completed

Supervisor: Dr. Niry

INSTITUTE FOR ADVANCED STUDIES IN BASIC SCIENCES

Zanjan, Iran

Jan. 2020 – May 2021

  • Weekly classes and graded exercises

Education & Coursework

Master of Science in Physics

Specialized in computational physics with focus on numerical methods and surface growth phenomena

Relevant Coursework

Non-linear Dynamical Systems

Nonlinear Dynamics and Chaos by Strogatz

Complex Networks

Network Science by Barabási & Networks by Newman

Theoretical Neuroscience

Neuronal Dynamics by Gerstner et al.

Computational Physics

Computational Physics by Giordano et al.

Statistical Mechanics I & II

Statistical physics of particles by Kardar

Application of Computer in Physics

Computational Physics by Landau et al.

Publications & Future Work

Currently preparing research outcomes for publication. Check back for updates on conference presentations and peer-reviewed articles.

Research Directions

  • Advanced numerical methods for stochastic partial differential equations
  • Applications of surface growth models in material science
  • Computational approaches to complex systems in physics

Get In Touch

Contact Information

Email: [hessamderakhshan@gmail.com]
Location: Tabriz, Iran
Current Position: Physics Instructor at Tohid High School

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