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Exactly solvable deterministic lattice model of crossover between ballistic and diffusive transport
ID
Klobas, Katja
(
Author
),
ID
Medenjak, Marko
(
Author
),
ID
Prosen, Tomaž
(
Author
)
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https://iopscience.iop.org/article/10.1088/1742-5468/aae853
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Abstract
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
Views:
1456
Downloads:
546
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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
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