Abstract
This collection of materials has been articulated to illustrate the idea that observing equilibrium short-scale processes and performing statistical measures through correlations contribute a great deal to revealing macroscopic thermal properties of condensed matter. The questions addressed here arise from a change of paradigm as soon as one comes to describe a system response at a scale shorter than the characteristic lengths of its underlying microscopic phenomena. We restrict our analysis here to nanoscale heat transport by conduction or radiation and to a lesser extent in liquid and soft materials. A description of the mechanisms of phonon transmission at solid-state constrictions (or interfaces) is introduced. Infrared absorption in dielectric nano-objects is next discussed as well as a calculation of the absorption spectra in cellular membranes. Finally, the Brownian relaxation of magnetic nanoparticles is revisited in the light of accounting for long-range dipolar interactions.
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Acknowledgements
The author would like to thank Prof. G. Chen (MIT), Prof. K. Esfarjani (RPI), Dr. N. Mingo (CEA, LITEN), and Dr. S. Volz (CentraleSupelec/CNRS) for their contributions to phonon transport at interfaces; Prof. H. Dammak (CentraleSupelec) and Dr. M. Hayoun (Ecole Polytechnique) who have been involved in the development of IR-absorption calculations; Dr. J. Soussi for his pioneer work on lipid bilayers; and Dr. F. Gazeau (MSC, Univ. Paris-Diderot), Dr. M. Devaud (MSC, Univ. Paris-Diderot), and Prof. J. C. Bacri (MSC, Univ. Paris-Diderot) for their contributions to the equilibrium formulation of Brownian relaxation.
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Chalopin, Y. (2018). A Statistical Approach of Thermal Transport at Nanoscales: From Solid-State to Biological Applications. In: Andreoni, W., Yip, S. (eds) Handbook of Materials Modeling. Springer, Cham. https://doi.org/10.1007/978-3-319-50257-1_13-1
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