Path Integral

Dependency

• python

  • version 3.10 or higher is recommended.

• poetry

  • seting up python environment easily and safely.

• ffmpeg

  • mp4 movie writer

  • installation details

    • For Ubuntu Users
      • sudo apt-get update
      • sudo apt-get -y install ffmpeg
    • For Windows Users
      • Install scoop
      • scoop install ffmpeg
    • For macOS Users
      • Install homebrew
      • brew install ffmpeg
    • Check the official website if necessary
      • https://ffmpeg.org/

Setup

git clone https://github.com/MizuhoAOKI/path_integral.git
cd path_integral
poetry install

Run Diffusion Process Simulations

Ex. 1

cd path_integral
poetry run jupyter notebook notebooks/path_integral_diffusion_ex1.ipynb

diffusion_xi1.0_t10.0_D1.0_u10.0.mp4

Ex. 2

cd path_integral
poetry run jupyter notebook notebooks/path_integral_diffusion_ex2.ipynb

path_integral_diffusion.mp4

Ex. 3

cd path_integral
poetry run jupyter notebook notebooks/path_integral_diffusion_2d.ipynb

path_integral_diffusion_2d.mp4

Ex. 4

cd path_integral
poetry run jupyter notebook notebooks/path_integral_diffusion_2d_double_slit.ipynb

path_integral_diffusion_2d_double_slit.mp4