0000000000230662

AUTHOR

Madan Rao

showing 2 related works from this author

Reply to “Comment on ‘Elastic constants from microscopic strain fluctuations’ ”

2010

We agree with Coupier et al. [Phys. Rev. E 81, 013101 (2010)] that their technique for extracting elastic constants from microscopic strain fluctuations improves upon ours because of a more accurate computation of the integral of the elastic correlation function over sub-blocks. However, we believe that their interpretation of the physical relevance of the elastic correlation length extracted from the fits is misleading.

PhysicsCorrelation function (statistical mechanics)Classical mechanicsStrain (chemistry)Quantum mechanicsComputationInterpretation (model theory)Physical Review E
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Elastic constants from microscopic strain fluctuations

1999

Fluctuations of the instantaneous local Lagrangian strain $\epsilon_{ij}(\bf{r},t)$, measured with respect to a static ``reference'' lattice, are used to obtain accurate estimates of the elastic constants of model solids from atomistic computer simulations. The measured strains are systematically coarse- grained by averaging them within subsystems (of size $L_b$) of a system (of total size $L$) in the canonical ensemble. Using a simple finite size scaling theory we predict the behaviour of the fluctuations $$ as a function of $L_b/L$ and extract elastic constants of the system {\em in the thermodynamic limit} at nonzero temperature. Our method is simple to implement, efficient and general e…

PhysicsCanonical ensembleCondensed Matter (cond-mat)Monte Carlo methodFOS: Physical sciencesCondensed MatterScaling theoryIsothermal processMolecular dynamicssymbols.namesakeLattice (order)Thermodynamic limitsymbolsStatistical physicsLagrangianPhysical Review E
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