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Chin. Phys. B, 2020, Vol. 29(11): 110501    DOI: 10.1088/1674-1056/abaed4
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Non-equilibrium atomic simulation for Frenkel–Kontorova model with moving dislocation at finite temperature

Baiyili Liu(刘白伊郦)1 and Shaoqiang Tang(唐少强)2, †
1 School of Physics and Electronic Engineering, Centre for Computational Sciences, Sichuan Normal University, Chengdu 610066, China
2 HEDPS and LTCS, College of Engineering, Peking University, Beijing 100871, China

We apply the heat jet approach to realize atomic simulations at finite temperature for a Frenkel–Kontorova chain with moving dislocation. This approach accurately and efficiently controls the system temperature by injecting thermal fluctuations into the system from its boundaries, without modifying the governing equations for the interior domain. This guarantees the dislocation propagating in the atomic chain without nonphysical damping or deformation. In contrast to the non-equilibrium Nosé–Hoover heat bath, the heat jet approach efficiently suppresses boundary reflections while the moving dislocation and interior waves pass across the boundary. The system automatically returns back to the equilibrium state after all non-thermal motions pass away. We further apply this approach to study the impact of periodic potential and temperature field on the velocity of moving dislocation.

Keywords:  atomic simulation      finite temperature      moving dislocation      heat jet approach  
Received:  15 July 2020      Revised:  04 August 2020      Accepted manuscript online:  13 August 2020
Fund: the National Natural Science Foundation of China (Grant Nos. 11890681, 11832001, and 11988102).
Corresponding Authors:  Corresponding author. E-mail:   

Cite this article: 

Baiyili Liu(刘白伊郦) and Shaoqiang Tang(唐少强) Non-equilibrium atomic simulation for Frenkel–Kontorova model with moving dislocation at finite temperature 2020 Chin. Phys. B 29 110501

Fig. 1.  

The schematic of atomic simulation for the F–K chain.

Fig. 2.  

Dislocation propagation in the F–K chain at T = 0: (a) t = 0; (b) t = 200; (c) t = 600; (d) t = 1500. The displacement un is rescaled by 2π. In following figures, un is rescaled in the same way.

Fig. 3.  

Dislocation propagation in the F–K chain at temperature T = 0.0508 (300 K) thermostated by (a) heat jet approach; (b) non-equilibrium Nosé–Hoover heat bath.

Fig. 4.  

Dislocation propagation in the F–K chain at temperature T = 0.1354 (800 K) thermostated by the heat jet approach: (a) the displacement profile of the moving dislocation; (b) the system temperature.

Fig. 5.  

(a) The position of the dislocation at temperature T = 0 with k = 0.07,0.1,0.5; (b) the group velocity of the F–K chain.

Fig. 6.  

The position of the front of the dislocation in the F–K chain with k = 0.1 under different temperature.

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