Diffuse mismatch model of thermal boundary conductance using exact phonon dispersion

By P. Reddy, K. Castelino, Arun Majumdar. 2005

227 citations recorded by the source corpus.

The acoustic mismatch model (AMM) and the diffuse mismatch model (DMM) have been traditionally used to calculate the thermal boundary conductance of interfaces. In these calculations, the phonon dispersion relationship is usually approximated by a linear relationship (Debye approximation). This is accurate for wave vectors close to the zone center, but deviates significantly for wave vectors near the zone edges. Here, we present DMM calculations of the thermal conductance of Al–Si, Al–Ge, Cu–Si, and Cu–Ge interfaces by taking into account the full phonon dispersion relationship over the entire Brillouin zone obtained using the Born-von Karman model (BKM). The thermal boundary conductance thus calculated deviates significantly from DMM predictions obtained using the Debye model in all cases.

Subfields: Civil and Structural Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/aaa9abfcf2d852974843dd8fd8b3d08000159a64

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. C. Monachon
2. L. Weber
3. C. Dames
4. P. Hopkins

In Materials Chemistry

1. C. Monachon
2. L. Weber
3. C. Dames
4. P. Hopkins
5. Eric Pop

In Mechanics of Materials

1. C. Monachon
2. C. Dames
3. P. Hopkins
4. L. Weber

Citations in the corpus

• Thermal Conductivity of Diamond Composites (2009, unknown): “[41] allowed for the spectrum of phonons being nonlinear.”
• Thermal Transport across Solid Interfaces with Nanoscale Imperfections: Effects of Roughness, Disorder, Dislocations, and Bonding on Thermal Boundary Conductance (2013, background): “In addition, several works have examined the assumptions going into calculations of (7), including the use of phonondispersion [106], realistic density of states [107], and isotropy [108–110].”
• Contact mechanics and thermal conductance of carbon nanotube array interfaces (2009, unknown): “[70] (3.”
• Thermal Boundary Conductance: A Materials Science Perspective (2016, background): “Most notably, the DMM has been revisited with various dispersion relations, including exact lattice dynamics (47), simplified lattice dynamics (36), sine-type approximation (Born–von Karman) (45), truncated Debye (39), and fitted from measurements (48).”