Directed percolation-type models in Rust

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  • License: GNU General Public License v3 (GPLv3)
  • Author: Colin P. Stark
  • Tags directed percolation , phase transition
  • Requires: Python >=3.12
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Directed Percolation in Rust and Python

In this project, we implement directed percolation (DP) and similar lattice models in Rust. The Rust code is accessed via a Python wrapper to make experimentation as convenient as possible. Jupyter notebooks are used to implement the Python-wrapped simulations.

1d DP evolution for p_c ~ p=0.53891, n_x=300, t=200

We have two motivations for adopting Rust: one is to ensure maximum performance; another is to achieve this in a memory-safe and bug-free fashion (which is not easy to do in C or C++).

Fast run times are achieved through parallelization using the Rayon crate. We anticipate boosting performance further with GPU-compute using wgpu.

See here for some rough "how-to" notes on wrapping Rust with Python.

Demos

For now, only DP has been implemented. A series of related models are in development.

2d DP t-decay of mean order parameter mean ρ(t), for p_c ~ p=0.163145, n_x=30000, n_y=30000, t=50000

DP

DP model simulations are demonstrated in the following Jupyter notebooks:

Related pure-Python demos can be found here:

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  • License: GNU General Public License v3 (GPLv3)
  • Author: Colin P. Stark
  • Tags directed percolation , phase transition
  • Requires: Python >=3.12
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