Thermalization of oscillator chains with onsite anharmonicity and comparison with kinetic theory.

dc.contributor.author

Mendl, Christian B

dc.contributor.author

Lu, Jianfeng

dc.contributor.author

Lukkarinen, Jani

dc.coverage.spatial

United States

dc.date.accessioned

2017-04-26T18:14:26Z

dc.date.available

2017-04-26T18:14:26Z

dc.date.issued

2016-12

dc.description.abstract

We perform microscopic molecular dynamics simulations of particle chains with an onsite anharmonicity to study relaxation of spatially homogeneous states to equilibrium, and directly compare the simulations with the corresponding Boltzmann-Peierls kinetic theory. The Wigner function serves as a common interface between the microscopic and kinetic level. We demonstrate quantitative agreement after an initial transient time interval. In particular, besides energy conservation, we observe the additional quasiconservation of the phonon density, defined via an ensemble average of the related microscopic field variables and exactly conserved by the kinetic equations. On superkinetic time scales, density quasiconservation is lost while energy remains conserved, and we find evidence for eventual relaxation of the density to its canonical ensemble value. However, the precise mechanism remains unknown and is not captured by the Boltzmann-Peierls equations.

dc.identifier

https://www.ncbi.nlm.nih.gov/pubmed/28085301

dc.identifier.eissn

2470-0053

dc.identifier.uri

https://hdl.handle.net/10161/14113

dc.language

eng

dc.publisher

American Physical Society (APS)

dc.relation.ispartof

Phys Rev E

dc.relation.isversionof

10.1103/PhysRevE.94.062104

dc.title

Thermalization of oscillator chains with onsite anharmonicity and comparison with kinetic theory.

dc.type

Journal article

duke.contributor.orcid

Lu, Jianfeng|0000-0001-6255-5165

pubs.author-url

https://www.ncbi.nlm.nih.gov/pubmed/28085301

pubs.begin-page

062104

pubs.issue

6-1

pubs.organisational-group

Chemistry

pubs.organisational-group

Duke

pubs.organisational-group

Mathematics

pubs.organisational-group

Physics

pubs.organisational-group

Trinity College of Arts & Sciences

pubs.publication-status

Published

pubs.volume

94

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