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Inexpensive discrete atomistic model technique for studying excitations on infinite disordered media: The case of orientational glass ArN 2
Author(s) -
GonzálezAlbuixech V. F.,
GaitaAriño A.
Publication year - 2015
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4917
Subject(s) - statistical physics , monte carlo method , lattice (music) , physics , mathematics , statistics , acoustics
Summary Excitations of disordered systems such as glasses are of fundamental and practical interest but computationally very expensive to solve. Here, we introduce a technique for modeling these excitations in an infinite disordered medium with a reasonable computational cost. The technique relies on a discrete atomic model to simulate the low‐energy behavior of an atomic lattice with molecular impurities. The interaction between different atoms is approximated using a spring‐like interaction based on the Lennard‐Jones potential, but the method can be easily adapted to other potentials. The technique allows to solve a statistically representative number of samples with low computational expense and uses a Monte Carlo approach to achieve a state corresponding to any given temperature. This technique has already been applied successfully to a problem with interest in condensed matter physics: the solid solution of N 2 in Ar. Copyright © 2015 John Wiley & Sons, Ltd.