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This paper considers the neutron transport equation in bounded domain with a combination of the diffusive boundary condition and the in-flow boundary condition. We firstly study the existence of solution in any fixed time by…

Analysis of PDEs · Mathematics 2016-04-13 Yan Guo , Xiongfeng Yang

Two-dimensional tsumoite (BiTe), a polymorph of Bi2Te3, has emerged as a promising candidate for nonlinear photonic devices owing to its strong spin-orbit coupling, tunable bandgap, and high carrier mobility characteristics. This work…

With the rapidly increasing integration density and power density in nanoscale electronic devices, the thermal management concerning heat generation and energy harvesting becomes quite crucial. Since phonon is the major heat carrier in…

Mesoscale and Nanoscale Physics · Physics 2021-03-01 Zhizhou Yu , Guohuan Xiong , Lifa Zhang

This review summarizes recent studies of thermal transport in nanoscaled semiconductors. Different from bulk materials, new physics and novel thermal properties arise in low dimensional nanostructures, such as the abnormal heat conduction,…

Mesoscale and Nanoscale Physics · Physics 2013-01-14 Nuo Yang , Xiangfan Xu , Gang Zhang , Baowen Li

We present a scattering approach for the study of the transport and thermodynamics of quantum systems strongly coupled to their thermal environment(s). This formalism recovers the standard non-equilibrium Green's function expressions for…

Statistical Mechanics · Physics 2020-07-15 Alexander Semenov , Abraham Nitzan

Increased power density in modern microelectronics has led to thermal management challenges which can cause degradation in performance and reliability. In many high-power electronic devices, the power consumption and heat removal are…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 David B. Brown , Thomas L. Bougher , Xiang Zhang , Pulickel Ajayan , Baratunde A. Cola , Satish Kumar

Heat conduction in dielectric crystals originates from the propagation of atomic vibrations, whose microscopic dynamics is well described by the linearized phonon Boltzmann transport equation. Recently, it was shown that thermal…

Computational Physics · Physics 2020-02-05 Michele Simoncelli , Nicola Marzari , Andrea Cepellotti

The effect of electron-phonon scattering processes over the thermoelectric properties of extrinsic graphene was studied. Electrical and thermal resistivity, as well as the thermopower, were calculated within the Bloch theory approximations.…

Mesoscale and Nanoscale Physics · Physics 2012-08-02 Enrique Muñoz

Over the past 7 decades, the classical Monte Carlo method has played a huge role in the fields of rarefied gas flow and micro/nano scale heat transfer, but it also has shortcomings: the time step and cell size are limited by the relaxation…

Computational Physics · Physics 2025-05-15 Hongyu Liu , Xiaojian Yang , Chuang Zhang , Xing Ji , Kun Xu

We combine machine learning (ML)-based neuroevolution potentials (NEP) with anharmonic lattice dynamics and the Boltzmann transport equation (ALD-BTE) to achieve a quantitative and mode-resolved description of thermal transport in…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Feng Tao , Xiaoliang Zhang , Dawei Tang , Shigeo Maruyama , Ya Feng

This paper proposes an efficient HOT algorithm for solving the optimal transport (OT) problems with finite supports. We particularly focus on an efficient implementation of the HOT algorithm for the case where the supports are in…

Optimization and Control · Mathematics 2025-04-17 Guojun Zhang , Zhexuan Gu , Yancheng Yuan , Defeng Sun

We present a new code to evaluate thermoelectric and electronic transport properties of extended systems with a maximally-localized Wannier function basis set. The semiclassical Boltzmann transport equations for the homogeneous infinite…

Materials Science · Physics 2013-11-22 Giovanni Pizzi , Dmitri Volja , Boris Kozinsky , Marco Fornari , Nicola Marzari

We study the impact of phonon anharmonicity on the electronic dynamics of soft materials using a nonperturbative quantum-classical approach. The method is applied to a one-dimensional model of doped organic semiconductors with low-frequency…

Materials Science · Physics 2025-09-24 Jonathan H. Fetherolf , Petra Shih , Timothy C. Berkelbach

In this paper the Boltzmann equation describing the carrier transport in a semiconductor is considered. A modified Chapman-Enskog method is used, in order to find approximate solutions in the weakly non-homogeneous case. These solutions…

Statistical Mechanics · Physics 2007-05-23 S. F. Liotta , A. Majorana

The nonlinear Fourier transform (NFT), a powerful tool in soliton theory and exactly solvable models, is a method for solving integrable partial differential equations governing wave propagation in certain nonlinear media. The NFT…

Information Theory · Computer Science 2014-10-09 Mansoor I. Yousefi , Frank R. Kschischang

Relaxation dynamics of embedded metal nanoparticles after ultrafast laser pulse excitation is driven by thermal phenomena of different origins the accurate description of which is crucial for interpreting experimental results: hot electron…

Materials Science · Physics 2009-11-13 Majid Rashidi-Huyeh , Sebastian Volz , Bruno Palpant

The effect of inclusion of the planar phonon anisotropy on thermo-electrical behavior of graphene is analyzed. Charge transport is simulated by means of Direct Simulation Monte Carlo technique coupled with numerical solution of the phonon…

Mesoscale and Nanoscale Physics · Physics 2023-05-30 Marco Coco

High Bandwidth Memory (HBM), as a key development trend in future memory chip technology, significantly enhances computer performance. At the same time, the thermal challenges arising from its stacked architecture have drawn considerable…

Applied Physics · Physics 2025-10-10 Zhihao Zhou , Yu He , Shixian Liu , Lina Yang , Nuo Yang

We have developed a new theoretical formalism for phonon transport in nanostructures using the nonequilibrium phonon Green's function technique and have applied it to thermal conduction in defective carbon nanotubes. The universal…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Takahiro Yamamoto , Kazuyuki Watanabe

The advances in the growth techniques provide numerous scope to explore the possibilities of new 2D materials for potential applications. With the aid of first-principle calculations we show that 2D Na can be a new addition to the family of…

Materials Science · Physics 2019-08-08 Ajit Jena , Wu Li
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