2021
DOI: 10.1103/physrevb.103.035417
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Interpretation of apparent thermal conductivity in finite systems from equilibrium molecular dynamics simulations

Abstract: We propose a way to properly interpret the apparent thermal conductivity obtained for finite systems using equilibrium molecular dynamics simulations (EMD) with fixed or open boundary conditions in the transport direction. In such systems the heat current autocorrelation function develops negative values after a correlation time which is proportional to the length of the simulation cell in the transport direction. Accordingly, the running thermal conductivity develops a maximum value at the same correlation ti… Show more

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Cited by 13 publications
(15 citation statements)
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References 34 publications
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“…Despite of the zero value in the infinite-time limit, the RTC in these finite systems exhibits a clear maximum value κ EMD max at a particular correlation time τ max . In our previous work [13], this maximum value has been interpreted as the apparent thermal conductivity in the finite systems. Similar to Ref.…”
Section: Resultsmentioning
confidence: 96%
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“…Despite of the zero value in the infinite-time limit, the RTC in these finite systems exhibits a clear maximum value κ EMD max at a particular correlation time τ max . In our previous work [13], this maximum value has been interpreted as the apparent thermal conductivity in the finite systems. Similar to Ref.…”
Section: Resultsmentioning
confidence: 96%
“…While it has been believed that the EMD method can only be used to compute the thermal conductivity in the diffusive limit, we have recently shown [13] that it can also be used to compute the apparent thermal conductivity (also called the effective thermal conductivity) of finite systems. For a finite system with nonperiodic boundary conditions applied to the transport direction, the running thermal conductivity (RTC) based on the Green-Kubo relation will eventually converges to zero in the limit of infinite-time, but it has been argued [13] that the maximum value of the RTC can be interpreted as the apparent thermal conductivity of the finite system.…”
Section: Introductionmentioning
confidence: 99%
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“…In Sec. II, the boundary conditions in AEMD and NEMD follow the settings of most previous papers [12,21,32,34]. In AEMD, periodic boundary conditions are applied in all directions, while in NEMD, fixed boundary conditions are applied in the direction of heat conduction.…”
Section: Definition Of the Sizementioning
confidence: 99%
“…Molecular dynamics (MD) is a widely used atomistic simulation method for the investigation of nanoscale thermal transport [1][2][3][4][5][6][7][8][9][10]. Several MD methods have been developed to simulate thermal transport process in the past few decades, including equilibrium molecular dynamics (EMD) [11][12][13][14], and nonequilibrium molecular dynamics (NEMD) [1][2][3]. EMD is based on the fluctuation-dissipation theorem and the bulk thermal conductivity can be extracted from the heat current autocorrelation function [13][14][15][16].…”
Section: Introductionmentioning
confidence: 99%