References

A list of articles/books related with the Kinetic Collective Model are provided to introduce the users to the model.

General background

• R.A. Guyer and J.A. Krumhansl. Solution of the Linearized Phonon Boltzmann Equation. Phystical Review, 1966. Thermal Conductivity, Second Sound, and Phonon Hydrodynamic Phenomena in Nonmetallic Crystals. Physical Review, 1966.
• J.M. Ziman. Electrons and Phonons: The Theory of Transport Phenomena in Solids.
• D. Jou et al. Extended Irreversible Thermodynamics.

nanoTransport Group

• P. Torres, F.X. Alvarez, X. Cartoixà and R. Rurali. Thermal conductivity and phonon hydrodynamics in transition metal dichalcogenides from first-principles. 2D Materials, 6 (3) , 035002 (2019).
• A. Beardo, M. Calvo-Schwarzwälder, J. Camacho, T. G. Myers, P. Torres, F. X. Alvarez, and J. Bafaluy. Hydrodynamic heat transport in compact and holey silicon thin films. Physical Review Applied, 11, 034003 (2019).
• P. Torres. Thermal Transport in Semiconductors. First Principles and Phonon Hydrodynamics. Springer Nature (Switzerland, 2018).
• P. Torres, A. Ziabari, A. Torelló, J. Bafaluy, J. Camacho, X. Cartoixà, A. Shakouri and F. X. Alvarez. Emergence of hydrodynamic heat transport in semiconductors at the nanoscale. Physical Review Materials 2, 076001(2018).
• A. Ziabari, P. Torres, B. Vermeersch, X. Cartoixa, A. Torello, Y. Xuan, J.-H. Bahk, Y. Koh, Y. P., F. Alvarez, and A. Shakouri, Full-field thermal imaging of quasiballistic crosstalk reduction in nanoscale devices. Nature Communications 9, 255 (2018).
• P. Torres, A. Mohammed, A. Torelló, J. Bafaluy, J. Camacho, X. Cartoixà, A. Shakouri and F. X. Alvarez. Collective thermal transport in pure and alloy semiconductors.Phys. Chem. Chem. Phys. 20, 6805-6810 (2018).
• M. Calvo, M.G. Hennessy, P. Torres, T.G. Myers and F.X. Alvarez. A slip-based model for the size-dependent effective thermal conductivity of nanowires Int. J. Heat Mass Transf. 91, 57-63 (2018).
• Torres P, Torelló A, Bafaluy J, Camacho J, Cartoixà X, Alvarez FX. First principles kinetic-collective thermal conductivity of semiconductors.Physical Review B, 2017.
• Rojo MMuñoz, Abad B, Manzano CV, Torres P, Cartoixà X, Alvarez FX, et al. Thermal conductivity of Bi₂Te₃ nanowires: how size affects phonon scattering. Nanoscale, 2017.
• de Tomas C, Cantarero A, Lopeandia AF, Alvarez FX. Enhancing of optic phonon contribution in hydrodynamic phonon transport. Journal of Applied Physics, 2015.
• Ferrando-Villalba P, Lopeandía AF, Alvarez FXavier, Paul B, de Tomás C, Alonso MIsabel, et al. Tailoring thermal conductivity by engineering compositional gradients in Si_1-xGe_x superlattices. Nano Research, 2015.
• de Tomas C, Cantarero A, Lopeandia AF, Alvarez FX. Thermal conductivity of group-{IV} semiconductors from a kinetic-collective model. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2014.
• de Tomas C, Cantarero A, Lopeandia AF, Alvarez FX. From kinetic to collective behavior in thermal transport on semiconductors and semiconductor nanostructures. Journal of Applied Physics, 2014.
• Ferrando-Villalba P, Lopeandia AF, Abad L, Llobet J, Molina-Ruiz M, Garcia G, et al. In-plane thermal conductivity of sub-20 nm thick suspended mono-crystalline Si layers. Nanotechnology, 2014.
• Criado-Sancho M, Alvarez FX, Jou D. Thermal rectification in inhomogeneous nanoporous Si devices. Journal of Applied Physics, 2013.
• Sellitto A, Alvarez FX, Jou D. Geometrical dependence of thermal conductivity in elliptical and rectangular nanowires. International Journal of Heat and Mass Transfer,2012.
• Alvarez FX, Jou D, Sellitto A. Phonon Boundary Effects and Thermal Conductivity of Rough Concentric Nanowires. Journal of Heat Transfer, 2011.
• Alvarez-Quintana J, Rodriguez-Viejo J, Alvarez FX, Jou D. Thermal conductivity of thin single-crystalline germanium-on-insulator structures. International Journal of Heat and Mass Transfer, 2011.
• Jou D, Sellitto A, Alvarez FX. Heat waves and phonon-wall collisions in nanowires. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2011.
• Sellitto A, Jou D, Bafaluy J. Non-local effects in radial heat transport in silicon thin layers and graphene sheets. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2011.
• Sellitto A, Alvarez FX, Jou D. Phonon-wall interactions and frequency-dependent thermal conductivity in nanowires. Journal of Applied Physics, 2011.
• Alvarez FX, Alvarez-Quintana J, Jou D, J. Viejo R. Analytical expression for thermal conductivity of superlattices. Journal of Applied Physics, 2010.
• Alvarez FX, Jou D. Boundary Conditions and Evolution of Ballistic Heat Transport. Journal of Heat Transfer, 2010.
• Alvarez FX, Jou D, Sellitto A. Pore-size dependence of the thermal conductivity of porous silicon: A phonon hydrodynamic approach. Applied Physics Letters, 2010.
• Sellitto A, Alvarez FX, Jou D. Second law of thermodynamics and phonon-boundary conditions in nanowires. Journal of Applied Physics, 2010.
• Sellitto A, Alvarez FX, Jou D. Temperature dependence of boundary conditions in phonon hydrodynamics of smooth and rough nanowires. Journal of Applied Physics, 2010.
• Alvarez FX, Jou D. Statistical physics and fluctuations in ballistic non-equilibrium systems. Physica A: Statistical Mechanics and its Applications, 2009.
• Alvarez FX, Jou D, Sellitto A. Phonon hydrodynamics and phonon-boundary scattering in nanosystems. Journal of Applied Physics, 2009.
• Alvarez FX, Casas-Vázquez J, Jou D. Robustness of the nonequilibrium entropy related to the Maxwell-Cattaneo heat equation. Physical Review E, 2008.
• Alvarez FX, Jou D. Size and frequency dependence of effective thermal conductivity in nanosystems. Journal of Applied Physic, 2008.
• Alvarez-Quintana J, Alvarez FX, Rodriguez-Viejo J, Jou D, Lacharmoise PD, Bernardi A, et al. Cross-plane thermal conductivity reduction of vertically uncorrelated Ge∕Si quantum dot superlattices. Applied Physics Letters, 2008.
• Alvarez FX, Jou D. Memory and nonlocal effects in heat transport: From diffusive to ballistic regimes. Applied Physics Letters, 2007.
• Alvarez FX, Jou D. Extended entropy and irreversible thermodynamics of a Lorentz diffusive gas. Physica A: Statistical Mechanics and its Application, 2007.