While the analytical solution for marginal distribution of a stochastic chemical reaction network has been extensively studied, its joint distribution, i.e. high-dimensional master equation, received much less attention. Here we develop novel method computing exact distributions wide class first-order systems in steady-state conditions. The effectiveness our is validated by applying it to four ...

A bismuth telluride (BT)/indium selenide (IS) multilayer film was deposited at room temperature by rf magnetron sputtering on a sapphire substrate in order to investigate how the multilayered structure affects the microstructure and thermoelectric properties. The effect of annealing at different temperatures was also studied. The results were compared with those from a BT film with the same thi...

Multilayer architectures in water purification membranes enable increased water throughput, high filter efficiency, and high molecular loading capacity. However, the preparation of membranes with well-organized multilayer structures, starting from the nanoscale to maximize filtration efficiency, remains a challenge. We report a complete strategy to fully realize a novel biomaterial-based multil...