Variational boundary conditions for molecular dynamics simulations of crystalline solids at finite temperature: Treatment of the thermal bath

2007 ◽  
Vol 76 (10) ◽  
Author(s):  
Xiantao Li ◽  
Weinan E
2014 ◽  
Vol 10 (8) ◽  
pp. 3190-3199 ◽  
Author(s):  
David Semrouni ◽  
Ashwani Sharma ◽  
Jean-Pierre Dognon ◽  
Gilles Ohanessian ◽  
Carine Clavaguéra

2016 ◽  
Vol 12 (12) ◽  
pp. 5688-5697 ◽  
Author(s):  
Fabien Brieuc ◽  
Yael Bronstein ◽  
Hichem Dammak ◽  
Philippe Depondt ◽  
Fabio Finocchi ◽  
...  

Author(s):  
Behrouz Arash ◽  
Quan Wang

Free vibration of single- and double-layered graphene sheets is investigated by employing nonlocal continuum theory and molecular dynamics simulations. Results show that the classical elastic model overestimated the resonant frequencies of the sheets by a percentage as high as 62%. The dependence of small-scale effects, sizes of sheets, boundary conditions, and number of layers on vibrational characteristic of single- and double-layered graphene sheets is studied. The resonant frequencies predicted by the nonlocal elastic plate theory are verified by the molecular dynamics simulations, and the nonlocal parameter is calibrated through the verification process. The simulation results reveal that the calibrated nonlocal parameter depends on boundary conditions and vibrational modes. The nonlocal plate model is found to be indispensable in vibration analysis of grapheme sheets with a length less than 8 nm on their sides.


2006 ◽  
Vol 978 ◽  
Author(s):  
Xiantao Li ◽  
Weinan E

AbstractWe will present a general formalism for deriving boundary conditions for molecular dynamics simulations of crystalline solids in the context of atomistic/continuum coupling. These boundary conditions are modeled by generalized Langevin equations, derived from Mori-Zwanzig's formalism. Such boundary conditions are useful in suppressing phonon reflections, and maintaining the system temperature.


2018 ◽  
Vol 20 (40) ◽  
pp. 25901-25909 ◽  
Author(s):  
Rodrigo Ochoa ◽  
Miguel A. Soler ◽  
Alessandro Laio ◽  
Pilar Cossio

Single-point mutation protocols based on backbone-dependent rotamer libraries show the best performance in predicting equilibrium configurations from molecular dynamics simulations.


2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
R. Ansari ◽  
A. Momen ◽  
S. Rouhi ◽  
S. Ajori

The vibrational behavior of single-walled carbon nanocones is studied using molecular structural method and molecular dynamics simulations. In molecular structural approach, point mass and beam elements are employed to model the carbon atoms and the connecting covalent bonds, respectively. Single-walled carbon nanocones with different apex angles are considered. Besides, the vibrational behavior of nanocones under various types of boundary conditions is studied. Predicted natural frequencies are compared with the existing results in the literature and also with the ones obtained by molecular dynamics simulations. It is found that decreasing apex angle and the length of carbon nanocone results in an increase in the natural frequency. Comparing the vibrational behavior of single-walled carbon nanocones under different boundary conditions shows that the effect of end condition on the natural frequency is more prominent for nanocones with smaller apex angles.


2011 ◽  
Vol 134 (15) ◽  
pp. 154108 ◽  
Author(s):  
Mohammad Rahimi ◽  
Hossein Ali Karimi-Varzaneh ◽  
Michael C. Böhm ◽  
Florian Müller-Plathe ◽  
Sebastian Pfaller ◽  
...  

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