Heat vortex in hydrodynamic phonon transport of two-dimensional materials

被引:35
作者
Shang, Man-Yu [1 ,2 ]
Zhang, Chuang [3 ]
Guo, Zhaoli [3 ]
Lu, Jing-Tao [1 ,2 ]
机构
[1] Huazhong Univ Sci & Technol, Sch Phys, Wuhan 430074, Peoples R China
[2] Huazhong Univ Sci & Technol, Wuhan Natl High Magnet Field Ctr, Wuhan 430074, Peoples R China
[3] Huazhong Univ Sci & Technol, Sch Energy & Power Engn, State Key Lab Coal Combust, Wuhan 430074, Peoples R China
基金
中国国家自然科学基金;
关键词
2ND SOUND; THERMAL-CONDUCTIVITY; ELECTRON FLOW; RESISTANCE; VISCOSITY;
D O I
10.1038/s41598-020-65221-8
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
We study hydrodynamic phonon heat transport in two-dimensional (2D) materials. Starting from the Peierls-Boltzmann equation with the Callaway model approximation, we derive a 2D Guyer-Krumhansl-like equation describing hydrodynamic phonon transport, taking into account the quadratic dispersion of flexural phonons. In addition to Poiseuille flow, second sound propagation, the equation predicts heat current vortices and negative non-local thermal conductance in 2D materials, which are common in classical fluids but have not yet been considered in phonon transport. Our results also illustrate the universal transport behaviors of hydrodynamics, independent of the type of quasi-particles and their microscopic interactions.
引用
收藏
页数:10
相关论文
共 53 条
[1]   2ND SOUND IN SOLID HELIUM [J].
ACKERMAN, CC ;
BERTMAN, B ;
FAIRBANK, HA ;
GUYER, RA .
PHYSICAL REVIEW LETTERS, 1966, 16 (18) :789-&
[2]   Fast iterative methods for discrete-ordinates particle transport calculations [J].
Adams, ML ;
Larsen, EW .
PROGRESS IN NUCLEAR ENERGY, 2002, 40 (01) :3-159
[3]   Negative Magnetoresistance in Viscous Flow of Two-Dimensional Electrons [J].
Alekseev, P. S. .
PHYSICAL REVIEW LETTERS, 2016, 117 (16)
[4]   Improved Callaway model for lattice thermal conductivity [J].
Allen, Philip B. .
PHYSICAL REVIEW B, 2013, 88 (14)
[5]   Ballistic to diffusive crossover of heat flow in graphene ribbons [J].
Bae, Myung-Ho ;
Li, Zuanyi ;
Aksamija, Zlatan ;
Martin, Pierre N. ;
Xiong, Feng ;
Ong, Zhun-Yong ;
Knezevic, Irena ;
Pop, Eric .
NATURE COMMUNICATIONS, 2013, 4
[6]   Negative local resistance caused by viscous electron backflow in graphene [J].
Bandurin, D. A. ;
Torre, I. ;
Kumar, R. Krishna ;
Ben Shalom, M. ;
Tomadin, A. ;
Principi, A. ;
Auton, G. H. ;
Khestanova, E. ;
Novoselov, K. S. ;
Grigorieva, I. V. ;
Ponomarenko, L. A. ;
Geim, A. K. ;
Polini, M. .
SCIENCE, 2016, 351 (6277) :1055-1058
[7]   PHONON HYDRODYNAMICS IN SOLIDS [J].
BECK, H ;
MEIER, PF ;
THELLUNG, A .
PHYSICA STATUS SOLIDI A-APPLIED RESEARCH, 1974, 24 (01) :11-63
[8]   Collision-dominated nonlinear hydrodynamics in graphene [J].
Briskot, U. ;
Schuett, M. ;
Gornyi, I. V. ;
Titov, M. ;
Narozhny, B. N. ;
Mirlin, A. D. .
PHYSICAL REVIEW B, 2015, 92 (11)
[9]   MODEL FOR LATTICE THERMAL CONDUCTIVITY AT LOW TEMPERATURES [J].
CALLAWAY, J .
PHYSICAL REVIEW, 1959, 113 (04) :1046-1051
[10]   Universal Quantum Viscosity in a Unitary Fermi Gas [J].
Cao, C. ;
Elliott, E. ;
Joseph, J. ;
Wu, H. ;
Petricka, J. ;
Schaefer, T. ;
Thomas, J. E. .
SCIENCE, 2011, 331 (6013) :58-61