1
|
So S, Seol JH, Lee JH. Quasiballistic thermal transport in submicron-scale graphene nanoribbons at room-temperature. NANOSCALE ADVANCES 2024; 6:2919-2927. [PMID: 38817424 PMCID: PMC11134267 DOI: 10.1039/d4na00261j] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 03/28/2024] [Accepted: 04/05/2024] [Indexed: 06/01/2024]
Abstract
Phonon transport in two-dimensional materials has been the subject of intensive studies both theoretically and experimentally. Recently observed unique phenomena such as Poiseuille flow at low temperature in graphene nanoribbons (GNRs) initiated strong interest in similar effects at higher temperatures. Here, we carry out massive molecular dynamics simulations to examine thermal transport in GNRs at room temperature (RT) and demonstrate that non-diffusive behaviors including Poiseuille-like local thermal conductivity and second sound are obtained, indicating quasiballistic thermal transport. For narrow GNRs, a Poiseuille-like thermal conductivity profile develops across the nanoribbon width, and wider GNRs exhibit a mixed nature of phonon transport in that diffusive transport is dominant in the middle region whereas non-uniform behavior is observed near lateral GNR boundaries. In addition, transient heating simulations reveal that the driftless second sound can propagate through GNRs regardless of the GNR width. By decomposing the atomic motion into out-of-plane and in-plane modes, it is further shown that the observed quasiballistic thermal transport is primarily contributed by the out-of-plane motion of C atoms in GNRs.
Collapse
Affiliation(s)
- Soonsung So
- School of Materials Science and Engineering, Gwangju Institute of Science and Technology (GIST) Buk-gu Gwangju 61005 Korea
| | - Jae Hun Seol
- School of Mechanical Engineering, Gwangju Institute of Science and Technology (GIST) Buk-gu Gwangju 61005 Korea
| | - Joo-Hyoung Lee
- School of Materials Science and Engineering, Gwangju Institute of Science and Technology (GIST) Buk-gu Gwangju 61005 Korea
| |
Collapse
|
2
|
Sun Y, Wang L. Heat transport in an angular-momentum-conserving lattice. Phys Rev E 2024; 109:034118. [PMID: 38632744 DOI: 10.1103/physreve.109.034118] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/04/2024] [Accepted: 02/23/2024] [Indexed: 04/19/2024]
Abstract
It is expected that the energy-diffusion propagator in a one-dimensional nonlinear lattice with three conserved quantities: energy, momentum, and stretch, consists of a central heat mode and two sound modes. The heat mode follows a Lévy distribution. Consequently, the heat diffusion is super, i.e., the second moment of the diffusion propagator diverges as t^{β} with β>1; and the heat conduction is anomalous, i.e., the heat conductivity is size dependent and diverges with size N by N^{α}, with α>0. In this paper, we study a one-dimensional lattice with two-dimensional transverse motions, in which the total angular momentum also conserves. More importantly, the diffusion of this conserved quantity is ballistic. Surprisingly, the above pictures and the values of the mentioned power exponents keep unchanged. The universality of the scalings is then further extended. On the other hand, the detailed strengths of heat transports are largely enhanced. Such a counterintuitive finding can be explained by the change of the phonon mean-free path of the lattices.
Collapse
Affiliation(s)
- Yachao Sun
- Department of Physics, Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, and Key Laboratory of Quantum State Construction and Manipulation (Ministry of Education), Renmin University of China, Beijing 100872, People's Republic of China
| | - Lei Wang
- Department of Physics, Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, and Key Laboratory of Quantum State Construction and Manipulation (Ministry of Education), Renmin University of China, Beijing 100872, People's Republic of China
| |
Collapse
|
3
|
Guo Y, Sun Y, Wang L. Energy diffusion in two-dimensional momentum-conserving nonlinear lattices: Lévy walk and renormalized phonon. Phys Rev E 2023; 107:014109. [PMID: 36797934 DOI: 10.1103/physreve.107.014109] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/28/2022] [Accepted: 12/21/2022] [Indexed: 01/12/2023]
Abstract
The energy diffusion process in a few two-dimensional Fermi-Pasta-Ulam-type lattices is numerically simulated via the equilibrium local energy spatiotemporal correlation. Just as the nonlinear fluctuating hydrodynamic theory suggested, the diffusion propagator consists of a bell-shaped central heat mode and a sound mode extending with a constant speed. The profiles of the heat and sound modes satisfy the scaling properties from a random-walk-with-velocity-fluctuation process very well. An effective phonon approach is proposed, which expects the frequencies of renormalized phonons as well as the sound speed with quite good accuracy. Since many existing analytical and numerical studies indicate that heat conduction in such two-dimensional momentum-conserving lattices is divergent and the thermal conductivity κ increases logarithmically with lattice length, it is expected that the mean-square displacement of energy diffusion grows as tlnt. Discrepancies, however, are noticeably observed.
Collapse
Affiliation(s)
- Yanjiang Guo
- Department of Physics and Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, People's Republic of China
| | - Yachao Sun
- Department of Physics and Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, People's Republic of China
| | - Lei Wang
- Department of Physics and Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, People's Republic of China
| |
Collapse
|
4
|
Liu J, Li P, Xu S, Xie Y, Wang Q, Ma L. Temperature Dependence of Thermal Conductivity of Giant-Scale Supported Monolayer Graphene. NANOMATERIALS (BASEL, SWITZERLAND) 2022; 12:nano12162799. [PMID: 36014664 PMCID: PMC9415878 DOI: 10.3390/nano12162799] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/16/2022] [Revised: 08/09/2022] [Accepted: 08/11/2022] [Indexed: 06/12/2023]
Abstract
Past work has focused on the thermal properties of microscale/nanoscale suspended/supported graphene. However, for the thermal design of graphene-based devices, the thermal properties of giant-scale (~mm) graphene, which reflects the effect of grains, must also be investigated and are critical. In this work, the thermal conductivity variation with temperature of giant-scale chemical vapor decomposition (CVD) graphene supported by poly(methyl methacrylate) (PMMA) is characterized using the differential transient electrothermal technique (diff-TET). Compared to the commonly used optothermal Raman technique, diff-TET employs joule heating as the heating source, a situation under which the temperature difference between optical phonons and acoustic phonons is eased. The thermal conductivity of single-layer graphene (SLG) supported by PMMA was measured as 743 ± 167 W/(m·K) and 287 ± 63 W/(m·K) at 296 K and 125 K, respectively. As temperature decreased from 296 K to 275 K, the thermal conductivity of graphene was decreased by 36.5%, which can be partly explained by compressive strain buildup in graphene due to the thermal expansion mismatch.
Collapse
Affiliation(s)
- Jing Liu
- College of New Materials and New Energies, Shenzhen Technology University, Shenzhen 518116, China
| | - Pei Li
- College of New Materials and New Energies, Shenzhen Technology University, Shenzhen 518116, China
| | - Shen Xu
- School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai 201620, China
| | - Yangsu Xie
- College of Chemistry and Environmental Engineering, Shenzhen University, Shenzhen 518055, China
| | - Qin Wang
- College of Chemistry and Environmental Engineering, Shenzhen University, Shenzhen 518055, China
| | - Lei Ma
- College of New Materials and New Energies, Shenzhen Technology University, Shenzhen 518116, China
| |
Collapse
|
5
|
Yuan R, Chen L, Wu C. Heat Conduction Behavior of Two-Dimensional Nanomaterials and Their Interface Regulation ※. ACTA CHIMICA SINICA 2022. [DOI: 10.6023/a21120616] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/30/2023]
|
6
|
Guo Y, Wang L. Heat current flows across an interface in two-dimensional lattices. Phys Rev E 2021; 103:052141. [PMID: 34134309 DOI: 10.1103/physreve.103.052141] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/29/2020] [Accepted: 04/30/2021] [Indexed: 11/07/2022]
Abstract
Heat current J that flows through a few typical two-dimensional nonlinear lattices is systematically studied. Each lattice consists of two identical segments that are coupled by an interface with strength k_{int}. It is found that the two-universality-class scenario that is revealed in one-dimensional systems is still valid in the two-dimensional systems. Namely, J may follow k_{int} in two entirely different ways, depending on whether or not the interface potential energy decays to zero. We also study the dependence of J on lattice width N_{Y} and transverse interaction strength k_{Y}. Universal power-law decay or divergence is observed. Finally, we check the equipartition theorem in the systems since it is the basis of all our theoretical analyses. Surprisingly, it holds perfectly even at the interface where there is a finite temperature jump, which makes the system far from equilibrium. However, the equipartition of potential energy, which is observed in one-dimensional systems, is no longer satisfied due to the interaction between different dimensions.
Collapse
Affiliation(s)
- Yanjiang Guo
- Department of Physics and Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, People's Republic of China
| | - Lei Wang
- Department of Physics and Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, People's Republic of China
| |
Collapse
|
7
|
Nivedan A, Das K, Kumar S, Singh A, Mardanya S, Agarwal A, Kumar S. Magnetic field-dependent resistance crossover and anomalous magnetoresistance in topological insulator Bi 2Te 3. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:425002. [PMID: 32590365 DOI: 10.1088/1361-648x/aba06e] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/12/2020] [Accepted: 06/26/2020] [Indexed: 06/11/2023]
Abstract
We report a metal-insulator like transition in single-crystalline 3D topological insulator Bi2Te3at a temperature of 230 K in the presence of an external magnetic field applied normal to the surface. This transition becomes more prominent at larger magnetic field strength with the residual resistance value increasing linearly with the magnetic field. At low temperature, the magnetic field dependence of the magnetoresistance shows a transition from logarithmic to linear behavior and the onset magnetic field value for this transition decreases with increasing temperature. The logarithmic magnetoresistance indicates the weak anti-localization of the surface Dirac electrons while the high temperature behavior originates from the bulk carriers due to intrinsic impurities. At even higher temperatures beyond ∼230 K, a completely classical Lorentz model type quadratic behavior of the magnetoresistance is observed. We also show that the experimentally observed anomalies at ∼230 K in the magneto-transport properties do not originate from any stacking fault in Bi2Te3.
Collapse
Affiliation(s)
- Anand Nivedan
- Department of Physics, Indian Institute of Technology Delhi, New Delhi-110016, India
| | - Kamal Das
- Department of Physics, Indian Institute of Technology Kanpur, Kanpur-208016, India
| | - Sandeep Kumar
- Department of Physics, Indian Institute of Technology Delhi, New Delhi-110016, India
| | - Arvind Singh
- Department of Physics, Indian Institute of Technology Delhi, New Delhi-110016, India
| | - Sougata Mardanya
- Department of Physics, Indian Institute of Technology Kanpur, Kanpur-208016, India
| | - Amit Agarwal
- Department of Physics, Indian Institute of Technology Kanpur, Kanpur-208016, India
| | - Sunil Kumar
- Department of Physics, Indian Institute of Technology Delhi, New Delhi-110016, India
| |
Collapse
|
8
|
Chen XK, Chen KQ. Thermal transport of carbon nanomaterials. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:153002. [PMID: 31796650 DOI: 10.1088/1361-648x/ab5e57] [Citation(s) in RCA: 32] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
The diversity of thermal transport properties in carbon nanomaterials enables them to be used in different thermal fields such as heat dissipation, thermal management, and thermoelectric conversion. In the past two decades, much effort has been devoted to study the thermal conductivities of different carbon nanomaterials. In this review, different theoretical methods and experimental techniques for investigating thermal transport in nanosystems are first summarized. Then, the thermal transport properties of various pure carbon nanomaterials including 1D carbon nanotubes, 2D graphene, 3D carbon foam, are reviewed in details and the associated underlying physical mechanisms are presented. Meanwhile, we discuss several important influences on the thermal conductivities of carbon nanomaterials, including size, structural defects, chemisorption and strain. Moreover, we introduce different nanostructuring pathways to manipulate the thermal conductivities of carbon-based nanocomposites and focus on the wave nature of phonons for controlling thermal transport. At last, we briefly review the potential applications of carbon nanomaterials in the fields of thermal devices and thermoelectric conversion.
Collapse
Affiliation(s)
- Xue-Kun Chen
- Department of Applied Physics, School of Physics and Electronics, Hunan University, Changsha 410082, People's Republic of China. School of Mathematics and Physics, University of South China, Hengyang 421001, People's Republic of China
| | | |
Collapse
|
9
|
Wang J, Liu TX, Luo XZ, Xu XL, Li N. Anomalous energy diffusion in two-dimensional nonlinear lattices. Phys Rev E 2020; 101:012126. [PMID: 32069594 DOI: 10.1103/physreve.101.012126] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/05/2019] [Indexed: 06/10/2023]
Abstract
Heat transport in one-dimensional (1D) momentum-conserved lattices is generally assumed to be anomalous, thus yielding a power-law divergence of thermal conductivity with system length. However, whether heat transport in a two-dimensional (2D) system is anomalous or not is still up for debate because of the difficulties involved in experimental measurements or due to the insufficiently large simulation cell size. Here we simulate energy and momentum diffusion in the 2D nonlinear lattices using the method of fluctuation correlation functions. Our simulations confirm that energy diffusion in the 2D momentum-conserved lattices is anomalous and can be well described by the Lévy-stable distribution. As is expected, we verify that 2D nonlinear lattices with on-site potentials exhibit normal energy diffusion, independent of the dimension. Contrary to the hypothesis of a 1D system, we further clarify that anomalous heat transport in the 2D momentum-conserved system cannot be corroborated by the momentum superdiffusion any longer. Our findings offer some valuable insights into mechanisms of thermal transport in 2D system.
Collapse
Affiliation(s)
- Jian Wang
- College of Physical Science and Technology, Yangzhou University, Yangzhou 225002, People's Republic of China
| | - Tian-Xing Liu
- College of Physical Science and Technology, Yangzhou University, Yangzhou 225002, People's Republic of China
| | - Xiao-Zhi Luo
- College of Physical Science and Technology, Yangzhou University, Yangzhou 225002, People's Republic of China
| | - Xiu-Lian Xu
- College of Physical Science and Technology, Yangzhou University, Yangzhou 225002, People's Republic of China
| | - Nianbei Li
- Institute of Systems Science and Department of Physics, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, People's Republic of China
| |
Collapse
|
10
|
Li N. Energy and spin diffusion in the one-dimensional classical Heisenberg spin chain at finite and infinite temperatures. Phys Rev E 2019; 100:062104. [PMID: 31962512 DOI: 10.1103/physreve.100.062104] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/25/2019] [Indexed: 06/10/2023]
Abstract
The energy and spin diffusion behaviors in the one-dimensional classical Heisenberg spin chain have been systematically investigated using the equilibrium diffusion method. The spatiotemporal autocorrelation functions for energy and spin are calculated at finite and infinite temperatures. As conserved quantities, the spreading of excess energy and spin can be used to determine their actual diffusion behaviors. At low temperatures, the energy diffusion shows almost ballistic behavior, and spin shows superdiffusion behavior for finite chain size. For energy diffusion, normal diffusion behavior can be obtained when the temperature is higher than 0.75. For spin diffusion, normal diffusion behavior is observed at infinite temperature.
Collapse
Affiliation(s)
- Nianbei Li
- Institute of Systems Science and Department of Physics, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China
| |
Collapse
|
11
|
Hu S, Zhang Z, Jiang P, Ren W, Yu C, Shiomi J, Chen J. Disorder limits the coherent phonon transport in two-dimensional phononic crystal structures. NANOSCALE 2019; 11:11839-11846. [PMID: 31184669 DOI: 10.1039/c9nr02548k] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
Recently, increasing efforts are being made to control thermal transport via coherent phonons in periodic phononic structures; however, the direct observation of coherent phonon transport is experimentally very difficult at ambient temperature, and the importance of coherent phonons to the total thermal conductivity has not been critically assessed to date. In this study, using the non-equilibrium molecular dynamics simulations, we studied coherent phonon transport in a C3N phononic crystal (CNPnC) structure at room temperature by changing the porosity. When the holes were randomly distributed to construct the disordered C3N (D-C3N) structure, the localization of the coherent phonons was revealed by the phonon transmission coefficient, phonon wave packet simulation, phonon participation ratio and spatial energy density, which led to a significant reduction in the thermal conductivity. Finally, the effects of the length, temperature and strain on the thermal conductivity of CNPnC and D-C3N have also been discussed. Our study provides a solid understanding of the coherent phonon transport behavior, which will be beneficial for phononic-related control based on coherent phonons.
Collapse
Affiliation(s)
- Shiqian Hu
- Center for Phononics and Thermal Energy Science, China-EU Joint Lab for Nanophononics, Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering, Tongji University, Shanghai 200092, People's Republic of China.
| | | | | | | | | | | | | |
Collapse
|
12
|
Xiong K, Zeng C, Liu Z, Li B. Influence of the degree of a complex network on heat conduction. Phys Rev E 2018; 98:022115. [PMID: 30253545 DOI: 10.1103/physreve.98.022115] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/01/2018] [Indexed: 11/07/2022]
Abstract
Devices made of nanotubes and nanowires networks are of great interest for applications and have caught increasing attention in recent years. In this work, we study heat conduction in a network model with nodes being atoms and links being one-dimensional chains of atoms. It is found that heat conduction in the complex network is fundamentally different from that of regular lattices. It depends very sensitively on the average degrees of complex networks and the degrees of nodes that are attached to the two heat baths. For example, when the two heat source nodes have the same degree k_{0}, the heat flux reaches a maximum at an optimized value of k_{0} and decreases with the increase of the average degree 〈k〉. In other words, the source nodes with optimal degree k_{0} and the sparse network are more favorable to heat flux. Thermal rectification effect is found when the two heat source nodes have different degrees or the network model has multiple heat source nodes. Theoretical analysis is provided to explain the numerical results.
Collapse
Affiliation(s)
- Kezhao Xiong
- Department of Physics, East China Normal University, Shanghai, 200062, People's Republic of China.,Department of Mechanical Engineering, University of Colorado, Boulder, Colorado 80309 USA
| | - Chunhua Zeng
- Department of Mechanical Engineering, University of Colorado, Boulder, Colorado 80309 USA.,Institute of Physical and Engineering Science, Kunming University of Science and Technology, Kunming 650500, People's Republic of China.,Department of Physics, Nanjing University, Nanjing 210093, People's Republic of China
| | - Zonghua Liu
- Department of Physics, East China Normal University, Shanghai, 200062, People's Republic of China
| | - Baowen Li
- Department of Mechanical Engineering, University of Colorado, Boulder, Colorado 80309 USA
| |
Collapse
|
13
|
Hu S, Zhang Z, Jiang P, Chen J, Volz S, Nomura M, Li B. Randomness-Induced Phonon Localization in Graphene Heat Conduction. J Phys Chem Lett 2018; 9:3959-3968. [PMID: 29968477 DOI: 10.1021/acs.jpclett.8b01653] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
Through nonequilibrium molecular dynamics simulations, we report the direct numerical evidence of the coherent phonons participating in thermal transport at room temperature in graphene phononic crystal (GPnC) structure and evaluate their contribution to thermal conductivity based on the two-phonon model. With decreasing period length in GPnC, the transition from the incoherent to coherent phonon transport is clearly observed. When a random perturbation to the positions of holes is introduced in a graphene sheet, the phonon wave-packet simulation reveals the presence of notable localization of coherent phonons, leading to the significant reduction of thermal conductivity and suppressed length dependence. Finally, the effects of period length and temperature on the coherent phonon contribution to thermal conductivity are also discussed. Our work establishes a deep understanding of the coherent phonons transport behavior in periodic phononic structures, which provides effective guidance for engineering thermal transport based on a new path via phonon localization.
Collapse
Affiliation(s)
- Shiqian Hu
- Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering, and Institute for Advanced Study , Tongji University , Shanghai 200092 , People's Republic of China
- China-EU Joint Lab for Nanophononics, School of Physics Science and Engineering , Tongji University , Shanghai 200092 , People's Republic of China
- Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering , Tongji University , Shanghai 200092 , People's Republic of China
| | - Zhongwei Zhang
- Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering, and Institute for Advanced Study , Tongji University , Shanghai 200092 , People's Republic of China
- China-EU Joint Lab for Nanophononics, School of Physics Science and Engineering , Tongji University , Shanghai 200092 , People's Republic of China
- Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering , Tongji University , Shanghai 200092 , People's Republic of China
| | - Pengfei Jiang
- Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering, and Institute for Advanced Study , Tongji University , Shanghai 200092 , People's Republic of China
- China-EU Joint Lab for Nanophononics, School of Physics Science and Engineering , Tongji University , Shanghai 200092 , People's Republic of China
- Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering , Tongji University , Shanghai 200092 , People's Republic of China
| | - Jie Chen
- Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering, and Institute for Advanced Study , Tongji University , Shanghai 200092 , People's Republic of China
- China-EU Joint Lab for Nanophononics, School of Physics Science and Engineering , Tongji University , Shanghai 200092 , People's Republic of China
- Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering , Tongji University , Shanghai 200092 , People's Republic of China
| | - Sebastian Volz
- China-EU Joint Lab for Nanophononics, School of Physics Science and Engineering , Tongji University , Shanghai 200092 , People's Republic of China
- Laboratoire d'Energétique Moléculaire et Macroscopique, Combustion UPR CNRS 288 , Ecole Centrale Paris , Grande Voie des Vignes , F-92295 Chatenay-Malabry , France
- Laboratory for Integrated Micro and Mechatronic Systems, CNRS-IIS UMI 2820 , University of Tokyo , 4-6-1 Komaba , Meguro-ku, Tokyo 153-8505 , Japan
| | - Masahiro Nomura
- Institute of Industrial Science , The University of Tokyo , Meguro-ku, Tokyo 153-8505 , Japan
| | - Baowen Li
- Department of Mechanical Engineering , University of Colorado , Boulder , Colorado 80309 , United States
| |
Collapse
|
14
|
Renormalized vibrations and normal energy transport in 1d FPU-like discrete nonlinear Schrödinger equations. Sci Rep 2018; 8:5329. [PMID: 29593230 PMCID: PMC5871775 DOI: 10.1038/s41598-018-23719-2] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/05/2018] [Accepted: 03/20/2018] [Indexed: 11/08/2022] Open
Abstract
For one-dimensional (1d) nonlinear atomic lattices, the models with on-site nonlinearities such as the Frenkel-Kontorova (FK) and ϕ4 lattices have normal energy transport while the models with inter-site nonlinearities such as the Fermi-Pasta-Ulam-β (FPU-β) lattice exhibit anomalous energy transport. The 1d Discrete Nonlinear Schrödinger (DNLS) equations with on-site nonlinearities has been previously studied and normal energy transport has also been found. Here, we investigate the energy transport of 1d FPU-like DNLS equations with inter-site nonlinearities. Extended from the FPU-β lattice, the renormalized vibration theory is developed for the FPU-like DNLS models and the predicted renormalized vibrations are verified by direct numerical simulations same as the FPU-β lattice. However, the energy diffusion processes are explored and normal energy transport is observed for the 1d FPU-like DNLS models, which is different from their atomic lattice counterpart of FPU-β lattice. The reason might be that, unlike nonlinear atomic lattices where models with on-site nonlinearities have one less conserved quantities than the models with inter-site nonlinearities, the DNLS models with on-site or inter-site nonlinearities have the same number of conserved quantities as the result of gauge transformation.
Collapse
|
15
|
Di Cintio P, Livi R, Lepri S, Ciraolo G. Multiparticle collision simulations of two-dimensional one-component plasmas: Anomalous transport and dimensional crossovers. Phys Rev E 2017; 95:043203. [PMID: 28505790 DOI: 10.1103/physreve.95.043203] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/31/2016] [Indexed: 06/07/2023]
Abstract
By means of hybrid multiparticle collsion-particle-in-cell (MPC-PIC) simulations we study the dynamical scaling of energy and density correlations at equilibrium in moderately coupled two-dimensional (2D) and quasi-one-dimensional (1D) plasmas. We find that the predictions of nonlinear fluctuating hydrodynamics for the structure factors of density and energy fluctuations in 1D systems with three global conservation laws hold true also for 2D systems that are more extended along one of the two spatial dimensions. Moreover, from the analysis of the equilibrium energy correlators and density structure factors of both 1D and 2D neutral plasmas, we find that neglecting the contribution of the fluctuations of the vanishing self-consistent electrostatic fields overestimates the interval of frequencies over which the anomalous transport is observed. Such violations of the expected scaling in the currents correlation are found in different regimes, hindering the observation of the asymptotic scaling predicted by the theory.
Collapse
Affiliation(s)
- Pierfrancesco Di Cintio
- Consiglio Nazionale delle Ricerche, Istituto di Fisica Applicata "Nello Carrara" via Madonna del piano 10, I-50019 Sesto Fiorentino, Italy
- Dipartimento di Fisica e Astronomia and CSDC, Universitá di Firenze, via G. Sansone 1, I-50019 Sesto Fiorentino, Italy
- Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, via G. Sansone 1, I-50019 Sesto Fiorentino, Italy
| | - Roberto Livi
- Dipartimento di Fisica e Astronomia and CSDC, Universitá di Firenze, via G. Sansone 1, I-50019 Sesto Fiorentino, Italy
- Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, via G. Sansone 1, I-50019 Sesto Fiorentino, Italy
- Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi via Madonna del piano 10, I-50019 Sesto Fiorentino, Italy
| | - Stefano Lepri
- Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, via G. Sansone 1, I-50019 Sesto Fiorentino, Italy
- Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi via Madonna del piano 10, I-50019 Sesto Fiorentino, Italy
| | | |
Collapse
|
16
|
Olivares C, Anteneodo C. Role of the range of the interactions in thermal conduction. Phys Rev E 2016; 94:042117. [PMID: 27841624 DOI: 10.1103/physreve.94.042117] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/12/2016] [Indexed: 06/06/2023]
Abstract
We investigate thermal transport along a one-dimensional lattice of classical inertial rotators, with attractive couplings that decrease with distance as r^{-α} (α≥0), subject at its ends to Brownian heat reservoirs at different temperatures with average value T. By means of numerical integration of the equations of motion, we show the effects of the range of the interactions in the temperature profile and energy transport and determine the domain of validity of Fourier's law in this context. We find that Fourier's law, as signaled by a finite κ in the thermodynamic limit, holds only for sufficiently short-range interactions, with α>α_{c}(T). For α<α_{c}(T), a kind of insulator behavior emerges at any T.
Collapse
Affiliation(s)
| | - Celia Anteneodo
- Department of Physics, PUC-Rio, Rio de Janeiro, Brazil
- Institute of Science and Technology for Complex Systems, Rio de Janeiro, Brazil
| |
Collapse
|
17
|
Gao Z, Li N, Li B. Stretch diffusion and heat conduction in one-dimensional nonlinear lattices. Phys Rev E 2016; 93:032130. [PMID: 27078315 DOI: 10.1103/physreve.93.032130] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/23/2015] [Indexed: 06/05/2023]
Abstract
For heat conduction in one-dimensional (1D) nonlinear Hamiltonian lattices, it has been known that conserved quantities play an important role in determining the actual heat conduction behavior. In closed or microcanonical Hamiltonian systems, the total energy and stretch are always conserved. Depending on the existence of external on-site potential, the total momentum can be conserved or not. All the momentum-conserving lattices have anomalous heat conduction except the 1D coupled rotator lattice. It was recently claimed that "whenever stretch (momentum) is not conserved in a 1D model, the momentum (stretch) and energy fields exhibit normal diffusion." The stretch in a coupled rotator lattice was also argued to be nonconserved due to the requirement of a finite partition function, which enables the coupled rotator lattice to fulfill this claim. In this work, we will systematically investigate stretch diffusion and heat conduction in terms of energy diffusion for typical 1D nonlinear lattices. Contrary to what was claimed, no clear connection between conserved quantities and heat conduction can be established. The actual situation might be more complicated than what was proposed.
Collapse
Affiliation(s)
- Zhibin Gao
- Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering, Tongji University, 200092 Shanghai, People's Republic of China
| | - Nianbei Li
- Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering, Tongji University, 200092 Shanghai, People's Republic of China
| | - Baowen Li
- Department of Mechanical Engineering, University of Colorado Boulder, Colorado 80309, USA
| |
Collapse
|
18
|
Gao Z, Li N, Li B. Heat conduction and energy diffusion in momentum-conserving one-dimensional full-lattice ding-a-ling model. Phys Rev E 2016; 93:022102. [PMID: 26986283 DOI: 10.1103/physreve.93.022102] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/13/2015] [Indexed: 06/05/2023]
Abstract
The ding-a-ling model is a kind of half lattice and half hard-point-gas (HPG) model. The original ding-a-ling model proposed by Casati et al. does not conserve total momentum and has been found to exhibit normal heat conduction behavior. Recently, a modified ding-a-ling model which conserves total momentum has been studied and normal heat conduction has also been claimed. In this work, we propose a full-lattice ding-a-ling model without hard point collisions where total momentum is also conserved. We investigate the heat conduction and energy diffusion of this full-lattice ding-a-ling model with three different nonlinear inter-particle potential forms. For symmetrical potential lattices, the thermal conductivities diverges with lattice length and their energy diffusions are superdiffusive signaturing anomalous heat conduction. For asymmetrical potential lattices, although the thermal conductivity seems to converge as the length increases, the energy diffusion is definitely deviating from normal diffusion behavior indicating anomalous heat conduction as well. No normal heat conduction behavior can be found for the full-lattice ding-a-ling model.
Collapse
Affiliation(s)
- Zhibin Gao
- Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering, Tongji University, 200092 Shanghai, People's Republic of China
| | - Nianbei Li
- Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering, Tongji University, 200092 Shanghai, People's Republic of China
| | - Baowen Li
- Department of Mechanical Engineering, University of Colorado Boulder, Colorado 80309, USA
| |
Collapse
|
19
|
Wang L, Xu L, Zhao H. Heat-current correlation loss induced by finite-size effects in a one-dimensional nonlinear lattice. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 91:012110. [PMID: 25679573 DOI: 10.1103/physreve.91.012110] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/22/2014] [Indexed: 06/04/2023]
Abstract
The Green-Kubo formula provides a mathematical expression for heat conductivity in terms of integrals of the heat-current correlation function, which should be calculated in the thermodynamic limit. In finite systems this function generally decreases, i.e., it decays faster than it does in infinite systems. We compared the values of the correlation function in a one-dimensional purely quartic lattice with various lengths, and found that this loss is much smaller than is conventionally estimated. By studying the heat diffusion process in this lattice, we found that, in contrast to the conventional belief, the collisions between sound modes do not noticeably affect the current correlation function. Therefore, its loss being surprisingly small can be well understood. This finding allows one to calculate the heat conductivity in a very large system with desirable accuracy by performing simulations in a system with much smaller size, and thus greatly broadens the application of the Green-Kubo method.
Collapse
Affiliation(s)
- Lei Wang
- Department of Physics and Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, People's Republic of China
| | - Lubo Xu
- Department of Physics and Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, People's Republic of China
| | - Huizhu Zhao
- Department of Physics and Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, People's Republic of China
| |
Collapse
|
20
|
Yang L, Li N, Li B. Temperature-dependent thermal conductivities of one-dimensional nonlinear Klein-Gordon lattices with a soft on-site potential. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014; 90:062122. [PMID: 25615059 DOI: 10.1103/physreve.90.062122] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/19/2014] [Indexed: 06/04/2023]
Abstract
The temperature-dependent thermal conductivities of one-dimensional nonlinear Klein-Gordon lattices with soft on-site potential (soft-KG) are investigated systematically. Similarly to the previously studied hard-KG lattices, the existence of renormalized phonons is also confirmed in soft-KG lattices. In particular, the temperature dependence of the renormalized phonon frequency predicted by a classical field theory is verified by detailed numerical simulations. However, the thermal conductivities of soft-KG lattices exhibit the opposite trend in temperature dependence in comparison with those of hard-KG lattices. The interesting thing is that the temperature-dependent thermal conductivities of both soft- and hard-KG lattices can be interpreted in the same framework of effective phonon theory. According to the effective phonon theory, the exponents of the power-law dependence of the thermal conductivities as a function of temperature are only determined by the exponents of the soft or hard on-site potentials. These theoretical predictions are consistently verified very well by extensive numerical simulations.
Collapse
Affiliation(s)
- Linlin Yang
- Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering, Tongji University, 200092 Shanghai, People's Republic of China
| | - Nianbei Li
- Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering, Tongji University, 200092 Shanghai, People's Republic of China
| | - Baowen Li
- Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering, Tongji University, 200092 Shanghai, People's Republic of China and Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, Singapore 117546, Republic of Singapore and NUS Graduate School for Integrative Sciences and Engineering, Singapore 117456, Republic of Singapore
| |
Collapse
|
21
|
Li X. Heat conduction in nanoscale materials: a statistical-mechanics derivation of the local heat flux. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014; 90:032112. [PMID: 25314400 DOI: 10.1103/physreve.90.032112] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/12/2014] [Indexed: 06/04/2023]
Abstract
We derive a coarse-grained model for heat conduction in nanoscale mechanical systems. Starting with an all-atom description, this approach yields a reduced model, in the form of conservation laws of momentum and energy. The model closure is accomplished by introducing a quasilocal thermodynamic equilibrium, followed by a linear response approximation. Of particular interest is the constitutive relation for the heat flux, which is expressed nonlocally in terms of the spatial and temporal variation of the temperature. Nanowires made of copper and silicon are presented as examples.
Collapse
Affiliation(s)
- Xiantao Li
- Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
| |
Collapse
|
22
|
Length-dependent thermal conductivity in suspended single-layer graphene. Nat Commun 2014; 5:3689. [PMID: 24736666 DOI: 10.1038/ncomms4689] [Citation(s) in RCA: 228] [Impact Index Per Article: 22.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/09/2013] [Accepted: 03/19/2014] [Indexed: 12/21/2022] Open
Abstract
Graphene exhibits extraordinary electronic and mechanical properties, and extremely high thermal conductivity. Being a very stable atomically thick membrane that can be suspended between two leads, graphene provides a perfect test platform for studying thermal conductivity in two-dimensional systems, which is of primary importance for phonon transport in low-dimensional materials. Here we report experimental measurements and non-equilibrium molecular dynamics simulations of thermal conduction in suspended single-layer graphene as a function of both temperature and sample length. Interestingly and in contrast to bulk materials, at 300 K, thermal conductivity keeps increasing and remains logarithmically divergent with sample length even for sample lengths much larger than the average phonon mean free path. This result is a consequence of the two-dimensional nature of phonons in graphene, and provides fundamental understanding of thermal transport in two-dimensional materials.
Collapse
|
23
|
Mu X, Wu X, Zhang T, Go DB, Luo T. Thermal transport in graphene oxide--from ballistic extreme to amorphous limit. Sci Rep 2014; 4:3909. [PMID: 24468660 PMCID: PMC3904152 DOI: 10.1038/srep03909] [Citation(s) in RCA: 66] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/15/2013] [Accepted: 01/13/2014] [Indexed: 12/23/2022] Open
Abstract
Graphene oxide is being used in energy, optical, electronic and sensor devices due to its unique properties. However, unlike its counterpart - graphene - the thermal transport properties of graphene oxide remain unknown. In this work, we use large-scale molecular dynamics simulations with reactive potentials to systematically study the role of oxygen adatoms on the thermal transport in graphene oxide. For pristine graphene, highly ballistic thermal transport is observed. As the oxygen coverage increases, the thermal conductivity is significantly reduced. An oxygen coverage of 5% can reduce the graphene thermal conductivity by ~90% and a coverage of 20% lower it to ~8.8 W/mK. This value is even lower than the calculated amorphous limit (~11.6 W/mK for graphene), which is usually regarded as the minimal possible thermal conductivity of a solid. Analyses show that the large reduction in thermal conductivity is due to the significantly enhanced phonon scattering induced by the oxygen defects which introduce dramatic structural deformations. These results provide important insight to the thermal transport physics in graphene oxide and offer valuable information for the design of graphene oxide-based materials and devices.
Collapse
Affiliation(s)
- Xin Mu
- Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - Xufei Wu
- Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - Teng Zhang
- Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - David B Go
- 1] Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Indiana 46556, USA [2] Department of Chemical and Biomolecular Engineering, University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - Tengfei Luo
- 1] Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Indiana 46556, USA [2] Center for Sustainable Energy at Notre Dame, University of Notre Dame, Notre Dame, Indiana 46556, USA
| |
Collapse
|
24
|
Wang L, Hu B, Li B. Validity of Fourier's law in one-dimensional momentum-conserving lattices with asymmetric interparticle interactions. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013; 88:052112. [PMID: 24329219 DOI: 10.1103/physreve.88.052112] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/24/2013] [Indexed: 06/03/2023]
Abstract
We have numerically studied heat conduction in a few one-dimensional momentum-conserving lattices with asymmetric interparticle interactions by the nonequilibrium heat bath method, the equilibrium Green-Kubo method, and the heat current power spectra analysis. Very strong finite-size effects are clearly observed. Such effects make the heat conduction obey a Fourier-like law in a wide range of lattice lengths. However, in yet longer lattice lengths, the heat conductivity regains its power-law divergence. Therefore, the power-law divergence of the heat conductivity in the thermodynamic limit is verified, as is expected by many existing theories.
Collapse
Affiliation(s)
- Lei Wang
- Department of Physics, Renmin University of China, Beijing 100872, People's Republic of China and Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, Singapore 117546
| | - Bambi Hu
- Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, Singapore 117546 and Department of Physics, University of Houston, Houston, Texas 77204-5005, USA
| | - Baowen Li
- Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, Singapore 117546 and Center for Phononics and Thermal Energy Science, School of Physical Science and Engineering, Tongji University, Shanghai 200092, People's Republic of China
| |
Collapse
|