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Existing theoretical models of the interfacial thermal conductance, i.e., Kapitza conductance, of insulating solid-fluid interfaces only consider bulk properties, e.g., acoustic mismatch model and diffuse mismatch model. In this work, we…

Materials Science · Physics 2016-01-13 Sanghamitra Neogi , Gerald D. Mahan

Kapitza thermal resistance is a common feature of material interfaces. It is defined as the ratio of the thermal drop at the interface to the heat flux flowing across the interface. One expects that this resistance will depend on the…

Statistical Mechanics · Physics 2020-03-18 Jithu Paul , O. V. Gendelman

We study ballistic interfacial thermal transport across atomic junctions. Exact expressions for phonon transmission coefficients are derived for thermal transport in one-junction and two-junction chains, and verified by numerical…

Materials Science · Physics 2011-03-02 Lifa Zhang , Pawel Keblinski , Jian-Sheng Wang , Baowen Li

Previous researches only reported very small interfacial thermal resistances at room temperature due to limitations in sample combinations and methods. Taking cognizance of the importance of mismatched phonon structures, we report values up…

Materials Science · Physics 2019-04-30 Yan Yin , Busheng Wang , Jin Chen , Jiyong Yao , Wenlong Wang , Li Wang , Huaizhou Zhao , Wuming Liu , Xuedong Bai

We show the unique reconstruction of the heat-reflection coefficients in a phonon transport equation. This is a mathematical model used to characterize the dynamics of heat-conducting phonons in multiple layers of media, commonly composed…

Analysis of PDEs · Mathematics 2021-08-10 Qin Li , Weiran Sun

Understanding heat transfer across solid-liquid interfaces is central to thermal management and energy technologies, yet whether the interfacial thermal conductance (ITC) depends on the timescale of heating remains unclear. Here we use…

Materials Science · Physics 2026-03-25 Tao Chen , Puqing Jiang

A one-dimensional harmonic chain model is used to study the non-equilibrium distribution function of phonons induced by a heat flux across the interface between two crystals. Conditions are derived which govern the matching of distribution…

Other Condensed Matter · Physics 2021-06-02 A. P. Meilakhs

The ab initio model for heat propagation is the phonon transport equation, a Boltzmann-like kinetic equation. When two materials are put side by side, the heat that propagates from one material to the other experiences thermal boundary…

Numerical Analysis · Mathematics 2025-10-13 Irene M Gamba , Qin Li , Anjali Nair

Interfaces play an essential role in phonon-mediated heat conduction in solids, impacting applications ranging from thermoelectric waste heat recovery to heat dissipation in electronics. From a microscopic perspective, interfacial phonon…

Mesoscale and Nanoscale Physics · Physics 2015-09-28 Chengyun Hua , Xiangwen Chen , Navaneetha K. Ravichandran , Austin J. Minnich

We calculate the Kapitza conductance, which is the proportionality coefficient between heat flux and temperature jump at the interface, for the case of two conducting solids separated by the interface. We show that for conducting solids in…

Mesoscale and Nanoscale Physics · Physics 2023-06-29 A. P. Meilakhs

Phonon transmission across epitaxial interfaces is studied within the lattice dynamic approach. The transmission shows weak dependence on frequency for the lattice wave with a fixed angle of incidence. The dependence on azimuth angle is…

Materials Science · Physics 2009-11-13 Jian Wang , Jian-Sheng Wang

The calculation of the Kapitza boundary resistance between dissimilar harmonic solids has since long (Little [Can. J. Phys. 37, 334 (1959)]) suffered from a paradox: this resistance erroneously tends to a finite value in the limit of…

Condensed Matter · Physics 2007-05-23 Alec Maassen van den Brink , H. Dekker

As nanostructured devices become prevalent, interfaces often play an important role in thermal transport phenomena. However, interfacial thermal transport remains poorly understood due to complex physics across a wide range of length scales…

Mesoscale and Nanoscale Physics · Physics 2024-02-27 Xun Li , Jinchen Han , Sangyeop Lee

The wave property of phonons is employed to explore the thermal transport across a finite periodic array of nano-scatterers such as circular and triangular holes. As thermal phonons are generated in all directions, we study their…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 Thu Trang Nghiem Thi , P. -Olivier Chapuis

Despite the ubiquity of applications of heat transport across nanoscale interfaces, including integrated circuits, thermoelectrics, and nanotheranostics, an accurate description of phonon transport in these systems remains elusive. Here we…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 Georgios Varnavides , Adam S. Jermyn , Polina Anikeeva , Prineha Narang

We present a theory of the phononic thermal (Kapitza) resistance at the interface between graphene or another single-layer two-dimensional (2D) crystal (e.g. MoS$_{2}$) and a flat substrate, based on a modified version of the cross-plane…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Zhun-Yong Ong , Yongqing Cai , Gang Zhang

Interfaces play an essential role in phonon-mediated heat conduction in solids, impacting applications ranging from thermoelectric waste heat recovery to heat dissipation in electronics. From the microscopic perspective, interfacial phonon…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Chengyun Hua , Xiangwen Chen , Navaneetha K. Ravichandran , Austin J. Minnich

We consider a linear phonon Boltzmann equation with a reflecting/transmitting/absorbing interface. This equation appears as the Boltzmann-Grad limit for the energy density function of a harmonic chain of oscillators with inter-particle…

Mathematical Physics · Physics 2019-03-08 Giada Basile , Tomasz Komorowski , Stefano Olla

We point out that the effective channel for the interfacial thermal conductance, the inverse of Kapitza resistance, of metal-insulator/semiconductor interfaces is governed by the electron-phonon interaction mediated by the surface states…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 Tingyu Lu , Jun Zhou , Tsuneyoshi Nakayama , Ronggui Yang , Baowen Li

We theoretically elucidate the boundary conditions for phonon distribution functions of long-wavelength acoustic phonons at smooth crystal interfaces. We first derive boundary conditions that fully incorporate reflection, transmission, and…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Yuta Suzuki , Shuntaro Sumita , Yusuke Kato
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