# Relaxation dynamics of closed diffusive systems with infinitesimal Langmuir kinetics

Source: [Relaxation dynamics of closed diffusive systems with infinitesimal Langmuir kinetics](<https://www.sota2.com/research/paper/68fa37701e209131ce8b2541>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T22:23:53.552Z

Authors: Jun Sato, Katsuhiro Nishinari

Published: 2017-11-19T01:32:52.000Z

## Abstract

We consider the asymmetric simple exclusion process with Langmuir kinetics in the closed boundary condition. We analytically obtain the exact stationary state and a series of excited states of the system in the limit where Langmuir kinetics is infinitesimally small. Based on this result, we propose an analytical formula for the time evolutions of physical quantities of the system.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1711.06949>)

[PDF](<https://arxiv.org/pdf/1711.06949.pdf>)