Criteria for Geometric and Algebraic Transience for Discrete-Time Markov Chains

Journal of Theoretical Probability - We present new criteria for geometric and algebraic transience for discrete-time transient Markov chains on general state spaces, based on the moment of the...     

Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals

BIT Numerical Mathematics - In this paper, we present a novel investigation of the so-called SAV approach, which is a framework to construct linearly implicit geometric numerical integrators for...     

测定本体粘度的拉伸蠕变方法

测量高聚物粘度的方法很多。对高粘度样品经常采用拉伸蠕变方法,这时测定的是拉伸粘度习η_T: σ=η_T(?)_f其中σ是拉伸应力,(?)_f是由此引起的拉伸流动的应变速率。由于高聚物是粘弹性材料。因此必须设法区分弹性形变和流动形变,才能得到η_T值。Bueche和Kraus等曾分别用拉伸蠕变方法研究聚甲基丙烯酸甲酯和聚顺丁二烯的本体粘度。他们所用的处理方法有三     

Habit modification of calcium carbonate in the presence of malic acid

The ability of malic acid to control calcium carbonate morphology has been investigated by aging calcium chloride solution in the presence of urea in a 90 °C bath. Malic acid favors the formation of calcite. A transition from single block to aggregate with special morphology occurs upon increasing malic acid concentration. The morphological development of CaCO₃ crystal obviously depends on the starting pH. CaCO₃ crystal grows from spindle seed to dumbbell in the pH regime from 7 to 11; while it evolves from spindle seed, through peanut, to sphere at pH=11.5. Both dumbbell and sphere consist of rods that are elongated along c-axis and capped with three smooth, well-defined rhombic {1 0 4} faces. A tentative growth mechanism is proposed based on the fractal model suggested by R. Kniep and S. Busch [Angew. Chem. Int. Ed. Engl. 35 (1996) 2624].     

Particle-rod hybrids: growth of arachidic acid molecular rods from capped cadmium selenide nanoparticles

This communication describes a spin-coating method to nucleate organic molecular rods of uniform size from an inorganic nanoparticle at a solid surface. The particle-rod hybrid structure spontaneously forms when a film is spin coated from a mixed 2-propanol solution of arachidic acid (AA) and nanoparticles of cadmium selenide capped by mercaptoundecanoic acid (MUA-CdSe) on graphite. AFM images show that MUA-CdSe nanoparticles nucleate single crystalline rods of AA with a cross section of a single unit cell of the C-form. The solution-based process potentially allows the precise tuning of the wetting profile of the solution on the surface-attached nanoparticle, which provides the reservoir for the growth of the single crystalline rods. The results suggest that nanoparticles can be regarded as nanoseeds for the nucleation of guest crystals. It should be possible to further functionalize the AA rods by electrostatic complexation with metal or organic ions.