H. Z. Zhao | Searcharxiv

arXiv2015

Generalized Ito Formulae and Space-Time Lebesgue-Stieltjes Integrals of Local Times

Generalised Ito formulae are proved for time dependent functions of continuous real valued semi-martingales. The conditions involve left space and time first derivatives, with the left space derivative required to have locally bounded 2-dimensional variation. In particular a class of functions with discontinuous first derivative is included. An estimate of Krylov allows further weakening of these conditions when the semi-martingale is a diffusion.

math.PR↗

arXiv2013

Enhancing the Figure of Merit in Te-doped FeSb2 through nanostructuring

We study the thermoelectric properties of Te-doped FeSb2 nanostructured samples. Four samples of stoichiometry FeSb1.84Te0.16 were prepared by a hot press method at temperatures of 200, 400, 500, and 600 oC. Te-doping enhances the dimensionless figure of merit (ZT) on FeSb2 via two mechanisms. First, a semiconductor to metal transition is induced, which enhances the value of the power factor at low-temperatures. Second, the thermal conductivity, which was already reduced in nanostructured FeSb2 samples, is further reduced by increased point defect scattering through the n type substitution of Sb site by Te atom. The combined effect results in a ZT = 0.022 at 100 K, an increase of 62% over the ZT value for the optimized Te-doped single crystal sample. Hall coefficient and electrical resistivity measurements reveal a decreased mobility and increased concentration of the carriers in the doped sample.

cond-mat.mtrl-sci↗