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Nanoscale Quantum Thermal Conductance at Water Interface: Green's Function Approach Based on One-Dimensional Phonon
Toshihito Umegaki1, Shigenori Tanaka1
1Graduate School of System Informatics, Kobe University, 1-1 Rokkodai-cho, Nada-ku, Kobe 657-8501, Japan.
We derived a formula for quantum thermal conductance in water using a phonon model. This model accurately predicts thermal transport, showing high transmission at acoustic and optical modes and vanishing transmission outside these bands.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Materials Science
Background:
- Understanding thermal transport at the nanoscale is crucial for designing new materials.
- Water's unique properties present challenges in modeling its thermal behavior.
- Quantum effects significantly influence heat transfer in molecular systems.
Purpose of the Study:
- To derive a fundamental formula for phonon transport in water.
- To evaluate quantum thermal conductance using a one-dimensional phonon model.
- To analyze phonon transmission and its dependence on molecular structure and frequency.
Main Methods:
- Utilized the nonequilibrium Green's function method for phonon transport.
- Developed a one-dimensional phonon model for H2O layers.
- Extracted dispersion curves from experimental absorption spectra (OH stretching, intermolecular modes).
Main Results:
- Calculated phonon transmission function and quantum thermal conductance.
- Observed near-unity transmission probability at acoustic and optical mode frequencies.
- Demonstrated vanishing transmission outside these bands due to quantum tunneling.
- Validated the classical limit of thermal conductance (>300 K) against literature values.
Conclusions:
- The derived formula provides a powerful tool for evaluating quantum thermal conductance in water.
- The model accurately captures phonon behavior, including quantum tunneling effects.
- The approach is extensible to complex molecular systems like proteins for thermal characterization.
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