Simulation of Unsteady Small Heat Source Effects in Sub-Micron Heat Conduction
Abstract
In compact transistors, large electric fields near the drain side create hot spots whose dimensions are smaller than the phonon mean free path in the medium. In this paper, we present a study of unsteady hot spot behavior. The unsteady gray phonon Boltzmann transport equation (BTE) is solved in the relaxation time approximation using a finite volume method. Electron-phonon interaction is represented as a heat source term in the phonon BTE. The evolution of the temperature profile is governed by the interaction of four competing time scales: the phonon residence time in the hot spot and in the domain, the duration of the energy source, and the phonon relaxation time. The influence of these time scales on the temperature is investigated. Both boundary scattering and heat source localization effects are observed to have considerable impact on the thermal predictions. Comparison of BTE solutions with conventional Fourier diffusion analysis reveals significant discrepancies.
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Solving the transient Boltzmann transport equation in the full 3D geometry of a TDTR experiment is extremely challenging using previously reported numerical methods due to its large spatial extent and 3D geometry.
“Solving the transient BTE in this domain is extremely challenging using previously reported numerical methods 22,27,29,30 due to its large spatial extent and the 3D geometry.”
From Radial quasiballistic transport in time-domain thermoreflectance studied using Monte Carlo simulations (2014) · cites this paper as [30]
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Ding, D., Chen, X., & Minnich, A. J. (2014) · Applied Physics Letters · doi:10.1063/1.4870811 · Cited by 51 · see citing works
Analytical Green's function of the multidimensional frequency-dependent phonon Boltzmann equation
Hua, C., & Minnich, A. J. (2014) · Physical Review B · doi:10.1103/physrevb.90.214306 · Cited by 46 · see citing works
- Authors
- Narumanchi, S. V. J., Murthy, J. Y., & Amon, C. H.
- Affiliations
- Purdue University West Lafayette (US)
- Carnegie Mellon University (US)
- Venue
- Journal of Heat Transfer
- Publisher
- Wiley
- Published
- 2003-09-23
- Volume
- 125
- Issue
- 5
- Pages
- 896-903
- ISSN
- 0022-1481 (ISSN-L)
- 1528-8943
- OpenAlex
- W1999346943
- Cited by
- 60
- References
- 0
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 1 · 2023: 2 · 2022: 4 · 2021: 1 · 2019: 1 · 2018: 3 · 2017: 3 · 2016: 5 · 2015: 1 · 2014: 8 · 2013: 4
- FWCI
- 3.81
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- ASME Journal of Heat and Mass Transfer (publishedVersion)
- Funders
- National Science Foundation
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Thermal properties of materials
- Physical Sciences › Engineering › Mechanics of Materials › Thermoelastic and Magnetoelastic Phenomena
- Physical Sciences › Engineering › Computational Mechanics › Heat Transfer and Numerical Methods
- Keywords
- hot spots, unsteady heat conduction, electron-phonon coupling, phonon mean free path, relaxation time approximation, boundary scattering, heat source localization, non-Fourier heat conduction
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