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Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
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Heat current flows across an interface in two-dimensional lattices.
1Department 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.
Physical Review. E
|June 17, 2021
Summary
Heat current in 2D nonlinear lattices follows two distinct pathways, mirroring 1D systems. The study confirms the equipartition theorem even with temperature jumps, but potential energy equipartition fails in higher dimensions.
Area of Science:
- Condensed matter physics
- Nonlinear dynamics
- Statistical mechanics
Background:
- Heat transport in low-dimensional systems is crucial for thermal management.
- Understanding nonlinear lattice dynamics is key to predicting material properties.
- The equipartition theorem is a fundamental concept in statistical mechanics.
Purpose of the Study:
- To investigate heat current (J) in two-dimensional (2D) nonlinear lattices.
- To explore the influence of interface coupling strength (k_int) on heat transport.
- To analyze the validity of the equipartition theorem in 2D nonlinear systems.
Main Methods:
- Systematic numerical study of heat current in 2D nonlinear lattices.
- Analysis of heat current dependence on interface strength (k_int), lattice width (N_Y), and transverse interaction strength (k_Y).
- Verification of the equipartition theorem and potential energy equipartition.
Main Results:
- The two-universality-class scenario observed in 1D systems is also valid in 2D systems.
- Heat current (J) exhibits two distinct dependencies on interface strength (k_int).
- Universal power-law decay or divergence of J with lattice width (N_Y) and transverse interaction (k_Y) was observed.
- The equipartition theorem holds even with a finite temperature jump at the interface.
- Potential energy equipartition fails in 2D systems due to inter-dimensional interactions.
Conclusions:
- Two-dimensional nonlinear lattices exhibit universal heat transport behaviors similar to their 1D counterparts.
- The equipartition theorem remains robust in 2D nonlinear systems, even under non-equilibrium conditions.
- Inter-dimensional interactions disrupt potential energy equipartition in 2D nonlinear lattices.
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