Authorship：Lead author,　Corresponding author  

The asymmetric simple exclusion process (ASEP) is a fundamental stochastic model describing asymmetric many-particle diffusion with hard-core interactions on a one-dimensional lattice, and has been widely applied in the study of nonequilibrium transport phenomena. Motivated by the modeling of proton transport along oxygen networks in proton-conducting solid oxides, we extend the ASEP to a model defined on a one-dimensional backbone lattice with tree-like network branches. We derive the exact stationary distribution of this network ASEP and investigate its transport properties. By considering two representative network geometries for which physical quantities can be expressed in terms of certain hypergeometric series, we elucidate how the network geometry influences transport properties.

arXiv

researchmap

Other Link： https://arxiv.org/pdf/2603.09694v1

Authorship：Lead author,　Corresponding author   Language：English   Publishing type：Research paper (scientific journal)   Publisher：IOP Publishing  

Abstract

The asymmetric simple exclusion process (ASEP) is a paradigmatic driven-diffusive system that describes the asymmetric diffusion of particles with hardcore interactions in a lattice. Although the ASEP is known as an exactly solvable model where physical quantities can be evaluated without approximations, most exact results are limited to one-dimensional systems. Recently, the exact steady states in the multi-dimensional ASEP have been proposed [Phys. Rev. Res. 6, 033030 (2024)]. The research focused on the situations where the number of particles is conserved. In this paper, we consider the two-dimensional ASEP with attachment and detachment of particles (ASEP-LK), where particle number conservation is violated. By applying the results from [Phys. Rev. Res. 6, 033030 (2024)], we construct the exact steady states of the ASEP-LK and reveal their properties through the exact computation of physical quantities.

DOI： 10.1088/1751-8121/adb085

researchmap

Authorship：Lead author,　Corresponding author   Language：English   Publishing type：Research paper (scientific journal)   Publisher：American Physical Society (APS)  

The asymmetric simple exclusion process (ASEP) is a paradigmatic nonequilibrium many-body system that describes the asymmetric random walk of particles with exclusion interactions in a lattice. Although the ASEP is recognized as an exactly solvable model, most of the exact results obtained so far are limited to one-dimensional systems. Here, we construct the exact steady states of the ASEP with closed and periodic boundary conditions in arbitrary dimensions. This is achieved through the concept of transition decomposition, which enables the treatment of the multidimensional ASEP as a composite of the one-dimensional ASEPs.

Published by the American Physical Society 2024

DOI： 10.1103/physrevresearch.6.033030

researchmap

Authorship：Lead author,　Corresponding author   Publishing type：Research paper (scientific journal)   Publisher：American Physical Society (APS)  

DOI： 10.1103/physrevresearch.5.033102

researchmap

Authorship：Lead author,　Corresponding author   Publishing type：Research paper (scientific journal)   Publisher：American Physical Society (APS)  

DOI： 10.1103/physrevresearch.4.l032047

researchmap

Event date： 2025.3

researchmap

Event date： 2024.11

Presentation type：Oral presentation (general)  

Venue：福井大学 文京キャンパス  

researchmap

Event date： 2024.9

Language：English   Presentation type：Oral presentation (invited, special)  

researchmap

Event date： 2024.9

Presentation type：Oral presentation (general)  

researchmap

Event date： 2024.9

Presentation type：Oral presentation (general)  

researchmap

researchmap

researchmap