On the mode-coupling treatment of collective density fluctuations for quantum liquids: Para-hydrogen and normal liquid helium

Orly Kletenik-Edelman; David R. Reichman; Eran Rabani

doi:10.1063/1.3521478

On the mode-coupling treatment of collective density fluctuations for quantum liquids: Para-hydrogen and normal liquid helium

Orly Kletenik-Edelman, David R. Reichman, Eran Rabani

School of Chemistry

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

A novel quantum mode coupling theory combined with a kinetic approach is developed for the description of collective density fluctuations in quantum liquids characterized by Boltzmann statistics. Three mode-coupling approximations are presented and applied to study the dynamic response of para-hydrogen near the triple point and normal liquid helium above the -transition. The theory is compared with experimental results and to the exact imaginary time data generated by path integral Monte Carlo simulations. While for liquid para-hydrogen the combination of kinetic and quantum mode-coupling theory provides semi-quantitative results for both short and long time dynamics, it fails for normal liquid helium. A discussion of this failure based on the ideal gas limit is presented.

Original language	English
Article number	044528
Journal	Journal of Chemical Physics
Volume	134
Issue number	4
DOIs	https://doi.org/10.1063/1.3521478
State	Published - 28 Jan 2011

All Science Journal Classification (ASJC) codes

General Physics and Astronomy
Physical and Theoretical Chemistry

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abstract = "A novel quantum mode coupling theory combined with a kinetic approach is developed for the description of collective density fluctuations in quantum liquids characterized by Boltzmann statistics. Three mode-coupling approximations are presented and applied to study the dynamic response of para-hydrogen near the triple point and normal liquid helium above the -transition. The theory is compared with experimental results and to the exact imaginary time data generated by path integral Monte Carlo simulations. While for liquid para-hydrogen the combination of kinetic and quantum mode-coupling theory provides semi-quantitative results for both short and long time dynamics, it fails for normal liquid helium. A discussion of this failure based on the ideal gas limit is presented.",

author = "Orly Kletenik-Edelman and Reichman, {David R.} and Eran Rabani",

note = "Funding Information: We would like to thank the US-Israel Binational Science Foundation for financial support. E.R. thanks the Miller Institute for Basic Research in Science at UC Berkeley for partial financial support via a Visiting Miller Professorship.",

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N1 - Funding Information: We would like to thank the US-Israel Binational Science Foundation for financial support. E.R. thanks the Miller Institute for Basic Research in Science at UC Berkeley for partial financial support via a Visiting Miller Professorship.

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AB - A novel quantum mode coupling theory combined with a kinetic approach is developed for the description of collective density fluctuations in quantum liquids characterized by Boltzmann statistics. Three mode-coupling approximations are presented and applied to study the dynamic response of para-hydrogen near the triple point and normal liquid helium above the -transition. The theory is compared with experimental results and to the exact imaginary time data generated by path integral Monte Carlo simulations. While for liquid para-hydrogen the combination of kinetic and quantum mode-coupling theory provides semi-quantitative results for both short and long time dynamics, it fails for normal liquid helium. A discussion of this failure based on the ideal gas limit is presented.

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On the mode-coupling treatment of collective density fluctuations for quantum liquids: Para-hydrogen and normal liquid helium

Abstract

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