Thermal resistance network model for thermal conductivity of normal liquid helium-4 and helium-3

Dan Huang; Jinxing Zhong; Saqlain Raza; Ran Niu; Baishan Fu; Dapeng Yu; Tsuneyoshi Nakayama; Jun Liu; Jun Zhou

doi:10.1088/1361-648X/ace412

Thermal resistance network model for thermal conductivity of normal liquid helium-4 and helium-3

J Phys Condens Matter. 2023 Jul 13;35(41). doi: 10.1088/1361-648X/ace412.

Authors

Dan Huang¹, Jinxing Zhong², Saqlain Raza³, Ran Niu⁴, Baishan Fu⁴, Dapeng Yu⁴, Tsuneyoshi Nakayama⁵, Jun Liu³, Jun Zhou¹

Affiliations

¹ Phonon Engineering Research Center of Jiangsu Province, Center for Quantum Transport and Thermal Energy Science, Institute of Physics Frontiers and Interdisciplinary Science, School of Physics and Technology, Nanjing Normal University, Nanjing 210023, People's Republic of China.
² Center for Phononics and Thermal Energy Science, China-EU Joint Lab for Nanophononics, School of Physics Science and Engineering, Tongji University, Shanghai 200092, People's Republic of China.
³ Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC 27695, United States of America.
⁴ Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, People's Republic of China.
⁵ Hokkaido University, Sapporo, Hokkaido 060-0826, Japan.

PMID: 37402385
DOI: 10.1088/1361-648X/ace412

Abstract

Liquid heliums are intriguing substance. Superfluid states below certain critical temperatures, notably liquid helium-4 and helium-3 exhibit ultra-high thermal conductivity ( TC) in the superfluid phase. However, the microscopic origin of the TC of liquid heliums in the normal phase remains unclear. In this work, we employ the thermal resistance network model to calculate the thermal conductivities of normal liquid helium-4 (He I) and helium-3. Predicted values are not only in good agreement with the measurements but also reproduce the experimental trend of TC increasing with temperature and pressure.

Keywords: liquid helium; random walk; thermal conductivity.

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