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    A continuum–atomistic multi-scale analysis of temperature field problems and its application in phononic nano-structures

    , Article Finite Elements in Analysis and Design ; Volume 198 , 2022 ; 0168874X (ISSN) Yasbolaghi, R ; Khoei, A. R ; Sharif University of Technology
    Elsevier B.V  2022
    Abstract
    In this paper, a novel coupling technique is developed in continuum–atomistic multi-scale analysis of temperature field problems. In this manner, a new thermostat is introduced based on the single-atom sub-system, where its capability to control the temperature and produce the canonical ensemble is investigated. Moreover, the performance of proposed thermostat is verified by comparing the distribution of velocities to the Maxwell-Boltzmann distribution. The single-atom sub-system thermostat is then incorporated into the concurrent multi-scale model to relate the temperature field between the continuum and atomistic domains with complex lattice thermal fields. In order to illustrate the...