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Updated: Jul 9, 2026

Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
Approximate analytical models for phonon specific heat and ballistic thermal conductance of nanowires
Ravi Prasher1, Tao Tong, Arun Majumdar
1Intel Corporation, CH5-157, 5000 West Chandler Boulevard, Chandler, Arizona 85226-3699, USA. ravi.s.prasher@intel.com
Abstract:
We introduce simple approximate analytical models for phonon specific heat and ballistic thermal conductance of nanowires. The analytical model is in excellent agreement with the detailed numerical calculations based on the solution of the elastic wave equation and is also in good agreement with the ballistic thermal conductance data by Schwab et al. (Nature 2000, 404, 974). Finally, we propose a demarcating criterion in terms of temperature, dimension, and material properties to capture the dimensional crossover from a three-dimensional (3D) bulk system to a one-dimensional (1D) system.
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