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Stress fluctuations and elasticity in one- and two-component cubic crystals

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ABSTRACT The elastic constants of the Lennard-Jones system and a binary repulsive particle system (in 1:13 composition) obeying the Weeks-Chandler-Andersen (WCA) potential (WCA2-AB13 system) have been computed using the stress… Click to show full abstract

ABSTRACT The elastic constants of the Lennard-Jones system and a binary repulsive particle system (in 1:13 composition) obeying the Weeks-Chandler-Andersen (WCA) potential (WCA2-AB13 system) have been computed using the stress fluctuation formalism by equilibrium molecular dynamics simulations. The systems are under finite fixed pressures. The evolution of the elastic moduli as a function of the temperature is characterised. In both systems, the melting transition is signalled by a jump of the shear modulus, in consistence with the behaviour of the specific volume. At zero temperature, while the elasticity is totally affine for the Lennard-Jones face-centered cubic (fcc) crystal, it clearly contains a non-affine part for the AB13 cubic superlattice. The evolution of the non-affine elasticity as a function of the temperature is investigated, and its behaviour is compared to that of a typical glass-former.

Keywords: one two; elasticity one; component cubic; two component; stress fluctuations; fluctuations elasticity

Journal Title: Molecular Physics
Year Published: 2017

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