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Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
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Kapitza thermal resistance in linear and nonlinear chain models: Isotopic defect
1Faculty of Mechanical Engineering, Technion - Israel Institute of Technology, Haifa 3200003, Israel.
Physical Review. E
|June 17, 2021
Summary
Kapitza resistance in defective chains is finite but not universally defined. Its value depends on chain length and thermostat parameters, not solely on the defect itself.
Area of Science:
- Condensed Matter Physics
- Thermodynamics
- Materials Science
Background:
- Kapitza resistance describes thermal boundary resistance at interfaces.
- Understanding thermal transport in low-dimensional systems is crucial for nanoscale devices.
- Defects significantly influence thermal properties of materials.
Purpose of the Study:
- To investigate Kapitza resistance in chain models with internal defects.
- To derive analytic solutions for boundary resistance in linear chains with defects.
- To analyze the impact of defect properties and system parameters on thermal resistance.
Main Methods:
- Exact analytic solution for boundary resistance in linear chains.
- Analysis of isolated isotopic defects.
- Exploration of asymptotic scaling behavior for heavy defects.
- Comparison with nonlinear chain models.
Main Results:
- Kapitza resistance is finite for linear chains with defects, unlike bulk conductivity.
- A universal thermodynamic limit for Kapitza resistance does not exist.
- Resistance depends on system parameters and is not a local defect property.
- Temperature profile dips observed for lightweight defects, influenced by nonlinear interactions.
Conclusions:
- Kapitza resistance in defective chains is complex and system-dependent.
- Linear chain dynamics can predict short-time thermal evolution in nonlinear systems at low temperatures.
- Defect characterization requires considering boundary effects and system parameters.
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