%0 Journal Article
%T Effective phonon treatment of asymmetric interparticle interaction potentials
%A Weichen Fu
%A Hong Zhao
%J Physics
%D 2015
%I arXiv
%X We propose an effective phonon treatment in one dimensional momentum-conserved lattice system with asymmetric interparticle interaction potentials. Our strategy is to divide the potential into two segments by the zero-potential point, and then approximate them by piecewise harmonic potentials with effective force constants $\tilde{k}_L$ and $\tilde{k}_R$ respectively. The effective phonons can then be well described by $\omega_c=\sqrt{2(\tilde{k}_L+\tilde{k}_R)}% |sin(\frac{1}{2}aq)|$. The numerical verifications show that this treatment works very well.
%U http://arxiv.org/abs/1511.00551v1