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

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...

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Bibliographic Details
Main Authors Ciandrini, Luca, Crisostomo, Richmond L, Szavits-Nossan, Juraj
Format Journal Article
LanguageEnglish
Published 01.08.2023
Subjects
Physics - Statistical Mechanics
Online AccessGet full text
DOI10.48550/arxiv.2308.00847

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Summary: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.
DOI:10.48550/arxiv.2308.00847