Determining phonon mean free paths from observations of quasiballistic thermal transport.

The mean free paths (MFPs) of thermal phonons are mostly unknown in many solids. Recent work indicates that MFPs may be measured using experimental observations of quasiballistic thermal transport, but the precise relationship between the measurements and the MFP distribution remains unclear. Here, we present a method that can accurately reconstruct the MFP distribution from quasiballistic thermal measurements without any assumptions regarding the phonon scattering mechanisms. Our result will enable a substantially improved understanding of thermal transport in many solids, particularly thermoelectrics.

[1]  Slobodan Mitrovic,et al.  Reduction of thermal conductivity in phononic nanomesh structures. , 2010, Nature nanotechnology.

[2]  Stephen P. Boyd,et al.  Recent Advances in Learning and Control , 2008, Lecture Notes in Control and Information Sciences.

[3]  M. Dresselhaus,et al.  Thermal conductivity spectroscopy technique to measure phonon mean free paths. , 2011, Physical review letters.

[4]  A. Majumdar,et al.  Enhanced thermoelectric performance of rough silicon nanowires , 2008, Nature.

[5]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[6]  E. Pop Energy dissipation and transport in nanoscale devices , 2010, 1003.4058.

[7]  James J. Coleman,et al.  Ballistic-phonon heat conduction at the nanoscale as revealed by time-resolved x-ray diffraction and time-domain thermoreflectance , 2007 .

[8]  David G. Cahill,et al.  Frequency dependence of the thermal conductivity of semiconductor alloys , 2007 .

[9]  Gang Chen,et al.  Spectral Phonon Transport Properties of Silicon Based on Molecular Dynamics Simulations and Lattice Dynamics , 2008 .

[10]  R. J. von Gutfeld,et al.  Heat Pulses in Quartz and Sapphire at Low Temperatures , 1964 .

[11]  Thomsen,et al.  Surface generation and detection of phonons by picosecond light pulses. , 1986, Physical review. B, Condensed matter.

[12]  J. Schumann,et al.  Precise control of thermal conductivity at the nanoscale through individual phonon-scattering barriers. , 2010, Nature materials.

[13]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

[14]  Richard W Siegel,et al.  A new class of doped nanobulk high-figure-of-merit thermoelectrics by scalable bottom-up assembly. , 2012, Nature materials.

[15]  Gang Chen,et al.  Nonlocal and Nonequilibrium Heat Conduction in the Vicinity of Nanoparticles , 1996 .

[16]  Nicolas Hadjiconstantinou,et al.  Efficient simulation of multidimensional phonon transport using energy-based variance-reduced Monte Carlo formulations , 2011, 1109.3910.

[17]  J. Xiang,et al.  Thermal conductivity of ge and ge-si core-shell nanowires in the phonon confinement regime. , 2011, Nano letters.

[18]  Bekir Sami Yilbas,et al.  Quasiballistic heat transfer studied using the frequency-dependent Boltzmann transport equation , 2011 .

[19]  H. Casimir Note on the conduction of heat in crystals , 1938 .

[20]  David Broido,et al.  Intrinsic phonon relaxation times from first-principles studies of the thermal conductivities of Si and Ge , 2010 .

[21]  David J. Singh,et al.  Giant anharmonic phonon scattering in PbTe. , 2011, Nature materials.

[22]  C. Herring Role of Low-Energy Phonons in Thermal Conduction , 1954 .

[23]  Onset of nondiffusive phonon transport in transient thermal grating decay , 2011, 1108.3770.

[24]  A. Majumdar Microscale Heat Conduction in Dielectric Thin Films , 1993 .