The knot probability of semiflexible polygons on the cubic lattice is investigated. The degree of stiffness of the polygon is mimicked by introducing a bending fugacity conjugate to the curvature of the polygon. By generalizing Kesten’s pattern theorem to semiflexible walks, we show that for any finite value of the bending fugacity all except exponentially few sufficiently long polygons are kno...

Introduction: Martian (SNC) meteorites are igneous rocks from young (except for ALH 84001, which is much older), thick lava flows or shallow intrusions [1]. The shergottites (‘S’ of SNC) can be categorized according to LREE depletion into highly, moderately, and slightly depleted groups [1]. The La/Lu ratio (and other depletion indicators) is positively correlated with oxygen fugacity, and this...

A new “solid-state” oxygen buffering reaction (WC-COW), WC + 1/2O2 ⇌ CO W, is presented. At atmospheric pressure, the fugacity in equilibrium with this buffer approximated range of 600–1200 °C by logfO2=1.53−21008TK±0.13bar. simple method for maintaining standard muffle furnaces using off-the-shelf ceramic crucibles described. The utility experimental arrangement controlling during solid-state ...

Abstract A set of 1-atm gas-mixing experiments ( n = 31) was run using Re wire loops at low-oxygen fugacity (ƒO 2 , within one half-log unit the Fe–FeO buffer) and temperatures 1175–1400 °C to explore compositional dependence Fe 2+ –Mg olivine–liquid exchange coefficient, $${\mathrm{K}}_{\mathrm{D},{\mathrm{Fe}}^{2+}-\mathrm{Mg}}^{\mathrm{ol}/\mathrm{liq}}$$ <mml:math xmlns:mml="http://www.w3.o...

We report the results of phase equilibrium experiments on a phonolite produced during one of the most voluminous flank eruptions (ca. 1 km 3) of the Teide-Pico Viejo complex (Tenerife Island). Combined with previous experimental and volcanological data we address the factors that control the structure of the phonolitic plumbing system of Teide-Pico Viejo stratovolcanoes. The Roques Blancos phon...