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The acoustic mismatch model and the diffuse mismatch model (DMM) have been widely used to predict the thermal interface conductance. However, the acoustic mismatch model and the DMM are based on the hypothesis of a perfectly smooth interface and a completely disordered interface respectively. Here, we present a new modified model, named as the mixed mismatch model, which considers the roughness/bonding at the interface. By taking partially specular and partially diffuse transmission into account, the mixed mismatch model (MMM) can predict the thermal interface conductance with arbitrary roughness. The proportions of specular and diffuse transmission are determined by the interface roughness which is described by the interfacial density of states. We show that the predicted results of the MMM match well with the values of molecular dynamics simulation and experimental data.
Bibliographical noteFunding Information:
NY was sponsored by National Natural Science Foundation of China (No. 51576076 and No. 51711540031), Hubei Provincial Natural Science Foundation of China (2017CFA046) and Fundamental Research Funds for the Central Universities (2016YXZD006). XW was sponsored by the National Science Foundation through the University of Minnesota MRSEC (DMR-1420013) and the Legislative-Citizen Commission on Minnesota Resources. The authors are grateful to Hua Bao, and Xin Qian for useful discussions. Besides, the authors thank the National Supercomputing Center in Tianjin (NSCC-TJ) and China Scientific Computing Grid (ScGrid) for providing assistance in computations.
© 2018 Zhang, Ma, Zang, Wang and Yang.
- Acoustic mismatch model
- Diffuse mismatch model
- Interfacial density of states
- Mixed mismatch model
- Thermal interface conductance