Stochastic theta methods for random periodic solution of stochastic differential equations under non-globally Lipschitz conditions

This work focuses on the numerical approximations of random periodic solutions of stochastic differential equations (SDEs). Under non-globally Lipschitz conditions, we prove the existence and uniqueness of random periodic solutions for the considered equations and its numerical approximations generated by the stochastic theta (ST) methods with theta within (1/2,1]. It is shown that the random periodic solution of each ST method converges strongly in the mean square sense to that of SDEs for all step size. More precisely, the mean square convergence order is 1/2 for SDEs with multiplicative noise and 1 for SDEs with additive noise. Numerical results are finally reported to confirm these theoretical findings

Exploring and Evaluating Attributes, Values, and Structures for Entity Alignment

ACL 20206355-636

Dependable Performance of Thin Film Composite Nanofiltration Membrane Tailored by Capsaicin-Derived Self-Polymer

To address trade-off and membrane-fouling challenges during the development of nanofiltration membranes, a thin-film composite membrane was prepared on the basis of interfacial polymerization regulated by adjusting the capsaicin-derived self-polymer poly N-(2-hydroxy-5-(methylthio) benzyl) acrylamide (PHMTBA) on the polysulfone substrate in this study. Through the self-polymerization of the monomer HMTBA with varied contents, microwave-assisted technology was employed to develop a variety of PHMTBAs. It was discovered that PHMTBA is involved in the interfacial polymerization process. Piperazine and PHMTBA competed for the reaction with trimesoyl chloride, resulting in a flatter and looser membrane surface. The PHMTBA-modified membrane presented a typical double-layer structure: a thicker support layer and a thinner active layer. The addition of PHMTBA to membranes improved their hydrophilicity and negative charge density. As a result, the PHMTBA-modified membrane showed dependable separation performance (water flux of 159.5 L m−2 h−1 and rejection of 99.02% for Na2SO4) as well as enhanced anti-fouling properties (flux recovery ratio of more than 100% with bovine serum albumin-fouling and antibacterial efficiency of 93.7% against Escherichia coli). The performance of the prepared membranes was superior to that of most other modified TFC NF membranes previously reported in the literature. This work presents the application potential of capsaicin derivatives in water treatment and desalination processes.</jats:p

Dependable Performance of Thin Film Composite Nanofiltration Membrane Tailored by Capsaicin-Derived Self-Polymer

To address trade-off and membrane-fouling challenges during the development of nanofiltration membranes, a thin-film composite membrane was prepared on the basis of interfacial polymerization regulated by adjusting the capsaicin-derived self-polymer poly N-(2-hydroxy-5-(methylthio) benzyl) acrylamide (PHMTBA) on the polysulfone substrate in this study. Through the self-polymerization of the monomer HMTBA with varied contents, microwave-assisted technology was employed to develop a variety of PHMTBAs. It was discovered that PHMTBA is involved in the interfacial polymerization process. Piperazine and PHMTBA competed for the reaction with trimesoyl chloride, resulting in a flatter and looser membrane surface. The PHMTBA-modified membrane presented a typical double-layer structure: a thicker support layer and a thinner active layer. The addition of PHMTBA to membranes improved their hydrophilicity and negative charge density. As a result, the PHMTBA-modified membrane showed dependable separation performance (water flux of 159.5 L m&minus;2 h&minus;1 and rejection of 99.02% for Na2SO4) as well as enhanced anti-fouling properties (flux recovery ratio of more than 100% with bovine serum albumin-fouling and antibacterial efficiency of 93.7% against Escherichia coli). The performance of the prepared membranes was superior to that of most other modified TFC NF membranes previously reported in the literature. This work presents the application potential of capsaicin derivatives in water treatment and desalination processes

NiMo-Based Nanorod Arrays Supported on Ni Foams for Efficient Hydrogen Electrocatalysis

The construction of low-cost electrocatalysts with good conductivity, excellent intrinsic activity, and superior stability is crucial for the hydrogen evolution reaction (HER). Herein, we report an outstanding catalyst (Ni0.2Mo0.8N/NiMoP2/MoO2@NC) consisting of NiMo-based nanorod arrays supported on Ni foams for the efficient alkaline HER. It shows an ultralow overpotential of 48 mV and remarkable longevity for over 145 h at 10 mA cm–2 in 1.0 M KOH. The integration of ample compositions is favorable to the formation of heterointerfaces, accelerating electron transfer. The assembly of transition metal nitrides and phosphides fully develops the electrical conductivity of metal materials, which paves the way for superstability. The superior electrocatalytic activities can be attributed to the vital features, including the synergistic effect of Ni0.2Mo0.8N and NiMoP2, good electrical conductivity of MoO2, and corrosion resistance of NC basement. The present work proposes that regulating compositions and hierarchical nanostructures are of significance in developing electrode materials for the HER