Matrix product solution to multispecies ASEP with open boundaries

Finn, C. (author), Ragoucy, Eric (author), Vanicat, Matthieu (author)

We study a class of multi-species ASEP with open boundaries. The boundaries are chosen in such a way that all species of particles interact non-trivially with the boundaries, and are present in the stationary state. We give the exact expression of the stationary state in a matrix product form, and compute its normalisation. Densities and currents for the different species are then computed in terms of this normalisation.

• Language: English
• Keywords: statistical mechanics, exclusion processes, rigorous results in statistical mechanics, solvable lattice models, stationary states
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2018
• Number of pages: 28 str.
• Numbering: Vol. 2018, art. no. 043201
• PID: 20.500.12556/RUL-105236
• UDC: 536.9
• ISSN on article: 1742-5468
• DOI: 10.1088/1742-5468/aab1b5
• COBISS.SI-ID: 3264612
• Publication date in RUL: 13.11.2018

Record is a part of a journal

• Title: Journal of statistical mechanics
• Shortened title: J. stat. mech.
• Publisher: IOP Publishing
• ISSN: 1742-5468
• COBISS.SI-ID: 21517607

Secondary language

• Language: Slovenian
• Keywords: statistična mehanika

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 694544
• Name: Open many-body non-equilibrium systems
• Acronym: OMNES