TASEPy: a Python-based package to iteratively solve the inhomogeneous exclusion process

TL;DR

TASEPy is a Python package that implements a power series approximation to efficiently solve the inhomogeneous TASEP model, enabling analysis of particle transport with variable hopping rates.

Contribution

The paper introduces TASEPy, the first software implementation of the PSA for inhomogeneous TASEP, facilitating steady state solutions for complex particle transport models.

Findings

Provides a computational tool for inhomogeneous TASEP analysis

Enables flexible and efficient steady state calculations

Bridges a gap between theoretical approximation and practical implementation

Abstract

The totally asymmetric simple exclusion process (TASEP) is a paradigmatic lattice model for one-dimensional particle transport subject to excluded-volume interactions. Solving the inhomogeneous TASEP in which particles' hopping rates vary across the lattice is a long-standing problem. In recent years, a power series approximation (PSA) has been developed to tackle this problem, however no computer algorithm currently exists that implements this approximation. This paper addresses this issue by providing a Python-based package TASEPy that finds the steady state solution of the inhomogeneous TASEP for any set of hopping rates using the PSA truncated at a user-defined order.