arXiv subjects

Yajun Zhou

Publications and source records attributed to Yajun Zhou.

38 records · Page 3Linked to original sources

arXiv2004

The Analytical Theory of Bulk Melting II: Variational Method Solution in the FCC Crystal

Continuing the arguments in Paper I (arXiv: cond-mat/0405487), we model the temperature dependence of interstitial defects in a surface-free face-centered-cubic (fcc) elemental crystal and obtain the free energy and correlation behavior based on variational methods. We show that the avalanche of interstitial defects is the instability mechanism at the melting point that bridges Lindemann and Born criteria.

cond-mat.stat-mech↗

arXiv2004

The Analytical Theory of Bulk Melting I: Exact Solution of the One-dimensional Atom Chain

We investigate theoretically the crucial rôle of interstitialcies that trigger the melting of a boundary-free crystal. Based on an interstitialcy model that resembles the $J_1$-$J_2$ model of frustrated antiferromagnets with uniaxial anisotropy, we have calculated the exact partition function and correlation functions in a one-dimensional atom chain. The melting point and correlation behavior of this crystal model show the applicability of Lindemann criterion and Born criterion in the one-dimensional case.

cond-mat.stat-mech↗