Evidence for a phase transition in silicate melt at extreme pressure and temperature conditions

Laser-driven shock compression experiments reveal the presence of a phase transition in MgSiO(3) over the pressure-temperature range 300-400 GPa and 10?000-16?000 K, with a positive Clapeyron slope and a volume change of ～6.3 (±2.0) percent. The observations are most readily interpreted as an abrupt liquid-liquid transition in a silicate composition representative of terrestrial planetary mantles, implying potentially significant consequences for the thermal-chemical evolution of extrasolar planetary interiors. In addition, the present results extend the Hugoniot equation of state of MgSiO(3) single crystal and glass to 950 GPa.     

KMS States and Conformal Measures

From a non-constant holomorphic map on a connected Riemann surface we construct an étale second countable locally compact Hausdorff groupoid whose associated groupoid C*-algebra admits a one-parameter group of automorphisms with the property that its KMS states correspond to conformal measures in the sense of Sullivan. In this way certain quadratic polynomials give rise to quantum statistical models with a phase transition arising from spontaneous symmetry breaking.     

Über eine gemeinsame Behandlungsweise verschiedener Differentialgeometrien

Ohne Zusammenfassung     

Eine Neuberechnung der Atomgewichte

Ohne Zusammenfassung     

Untersuchung von Schriftproben

Ohne Zusammenfassung