Diffusion in deterministic interacting lattice systems

Medenjak, Marko (author), Klobas, Katja (author), Prosen, Tomaž (author)

We study reversible deterministic dynamics of classical charged particles on a lattice with hard-core interaction. It is rigorously shown that the system exhibits three types of transport phenomena, ranging from ballistic, through diffusive to insulating. By obtaining an exact expressions for the current time-autocorrelation function we are able to calculate the linear response transport coefficients, such as the diffusion constant and the Drude weight. Additionally, we calculate the long-time charge profile after an inhomogeneous quench and obtain diffusive profile with the Green-Kubo diffusion constant. Exact analytical results are corroborated by Monte Carlo simulations.

• Language: English
• Keywords: statistical physics
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Publisher: American Physical Society
• Year: 2017
• Number of pages: Str. 110603-1-110603-5
• Numbering: Vol. 119, iss. 11
• PID: 20.500.12556/RUL-100070
• UDC: 536.9
• ISSN on article: 0031-9007
• DOI: 10.1103/PhysRevLett.119.110603
• COBISS.SI-ID: 3177572

Copyright

American Physical Society

• Publication date in RUL: 02.03.2018

Record is a part of a journal

• Title: Physical review letters
• Shortened title: Phys. rev. lett.
• Publisher: American Physical Society
• ISSN: 0031-9007
• COBISS.SI-ID: 1282575

Secondary language

• Language: Slovenian
• Keywords: statistična fizika

Projects

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