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

Luca Ciandrini; Richmond L. Crisostomo; Juraj Szavits-Nossan

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arXiv · 2308.00847

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

Luca Ciandrini·Richmond L. Crisostomo·Juraj Szavits-Nossan

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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.

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BibTeX RIS

Luca Ciandrini, Richmond L. Crisostomo, Juraj Szavits-Nossan. 2023-08-01. TASEPy: a Python-based package to iteratively solve the inhomogeneous exclusion process. https://arxiv.org/abs/2308.00847

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