Exactly solvable deterministic lattice model of crossover between ballistic and diffusive transport

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

We discuss a simple deterministic lattice gas of locally interacting charged particles, for which we show coexistence of ballistic and diffusive transport. Both, the ballistic and the diffusive transport coeffcients, specifically the Drude weight and the diffusion constant, respectively, are analytically computed for a particular set of generalized Gibbs states and may independently vanish for appropriate values of thermodynamic parameters. Moreover, our analysis, based on explicit construction of the matrix representation of time-automorphism in a suitable basis of the algebra of local observables, allows for an exact computation of the dynamic structure factor and closed form solution of the inhomogeneous quench problem.

• Language: English
• Keywords: statistical mechanics
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2018
• Number of pages: 27 str.
• Numbering: Vol. 2018, art. no. 123202
• PID: 20.500.12556/RUL-105987
• UDC: 536
• ISSN on article: 1742-5468
• DOI: 10.1088/1742-5468/aae853
• COBISS.SI-ID: 3285092
• Publication date in RUL: 10.01.2019

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