scholarly journals Transport Properties of the Lennard-Jones Truncated and Shifted Fluid from Non-equilibrium Molecular Dynamics Simulations

2021 ◽  
Author(s):  
Martin P. Lautenschläger ◽  
Hans Hasse

The thermal conductivity λ, shear viscosity η, and self-diffusion coefficient D of the Lennard-Jones fluid truncated and shifted at the cut-off radius rc=2.5σ (LJTS fluid) are determined for a wide range of liquid and supercritical states (T*=[0.6,10.0] and ρ*=[0.2,1.2]). The simulations are carried out using a non-equilibrium molecular dynamics (NEMD) method that was introduced recently and in which two gradients are applied simultaneously. It is shown that the two-gradient method is well-suited for studies of liquid and supercritical states. Data for λ, η, and D for about 350 state points are reported. Two variants of the simulation method, which differ in the accuracy and efficiency, are explored and found to yield consistent data. Correlations for λ, η, and Dρ of the LJTS fluid are provided. The data and the correlations are compared to literature data of Lennard-Jones (LJ) type fluids and good agreement is observed. The truncation of the LJ potential causes a slight increase in D, while it has no significant effect on λ and η.

2021 ◽  
Author(s):  
Martin P. Lautenschläger ◽  
Martin T. Horsch ◽  
Hans Hasse

ABSTRACTA method for the simultaneous determination of the thermal conductivity λ and the shearviscosity η of fluids by non-equilibrium molecular dynamics simulations is presented and testedusing the Lennard-Jones truncated and shifted fluid as example. The fluid is studied under thesimultaneous influence of a temperature gradient∂T/∂y and a velocity gradient ∂v/∂y and the resulting heat flux and momentum flux are measured todetermine λ and η. The influence of the magnitude of ∂T/∂y and ∂v/∂y on λ and η is investigated.The cross-effects are negligible, even for large gradients. The same holds for the influenceof ∂T/∂y on λ. However, there is a significant influence of ∂v/∂y on η, i.e.shear-thinning. The two-gradient method is applied in different ways: for small ∂T/∂ytemperature-averaged values of λ and η are obtained. As ∂T/∂y has no significant influenceon the results, simulations with large ∂T/∂y are evaluated using the local-equilibriumassumption, such that values are obtained at different temperatures in a single simulation. Inaddition to the results for λ and η, also results for the self-diffusion coefficient D aredeterminedared displacement. The new two-gradient method is d yields accurate results.


Author(s):  
Toshihiro Kaneko ◽  
Kenji Yasuoka ◽  
Ayori Mitsutake ◽  
Xiao Cheng Zeng

Multicanonical molecular dynamics simulations are applied, for the first time, to study the liquid-solid and solid-solid transitions in Lennard-Jones (LJ) clusters. The transition temperatures are estimated based on the peak position in the heat capacity versus temperature curve. For LJ31, LJ58 and LJ98, our results on the solid-solid transition temperature are in good agreement with previous ones. For LJ309, the predicted liquid-solid transition temperature is also in agreement with previous result.


2017 ◽  
Vol 137 ◽  
pp. 273-281 ◽  
Author(s):  
Tian Qiu ◽  
Yongnan Xiong ◽  
Shifang Xiao ◽  
Xiaofan Li ◽  
Wangyu Hu ◽  
...  

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