Monte Carlo Simulation of Stochastic Differential Equation to Study Information Geometry

Information Geometry is a useful tool to study and compare the solutions of a Stochastic Differential Equations (SDEs) for non-equilibrium systems. As an alternative method to solving the Fokker–Planck equation, we propose a new method to calculate time-dependent probability density functions (PDFs) and to study Information Geometry using Monte Carlo (MC) simulation of SDEs. Specifically, we develop a new MC SDE method to overcome the challenges in calculating a time-dependent PDF and information geometric diagnostics and to speed up simulations by utilizing GPU computing. Using MC SDE simulations, we reproduce Information Geometric scaling relations found from the Fokker–Planck method for the case of a stochastic process with linear and cubic damping terms. We showcase the advantage of MC SDE simulation over FPE solvers by calculating unequal time joint PDFs. For the linear process with a linear damping force, joint PDF is found to be a Gaussian. In contrast, for the cubic process with a cubic damping force, joint PDF exhibits a bimodal structure, even in a stationary state. This suggests a finite memory time induced by a nonlinear force. Furthermore, several power-law scalings in the characteristics of bimodal PDFs are identified and investigated.     

加速溶剂萃取同步净化-同位素内标-气相色谱-高分辨质谱测定水产品中32种多氯联苯

建立了加速溶剂萃取同步净化-同位素内标-气相色谱-高分辨质谱同时测定水产品中32种多氯联苯含量的方法。通过在加速溶剂萃取仪中加入2 g无水硫酸钠、1 g弗罗里硅土、50 g中性氧化铝作为吸附剂实现同步净化的效果,萃取溶剂为二氯甲烷-正己烷(1∶1, v/v),萃取温度为100℃,循环2次。萃取结束后分别用0.5 mL浓硫酸净化两次,净化液浓缩定容后,采用气相色谱-高分辨质谱测定,同位素内标法定量。32种多氯联苯在0.1～20μg/L范围内平均相对响应因子(RRF)的相对标准偏差(RSD)值(n=7)均小于15%,定量限(S/N=10)为0.3～1.9 ng/kg。在草鱼和海鲈鱼空白基质中做加标回收试验,添加水平为5、20和50 ng/kg,得到的平均回收率为71.9%～119.0%(n=6),RSD为3.5%～19.6%。该方法背景干扰低,灵敏度高,重现性好,回收率稳定,适用于水产品中多氯联苯的检测。     

加速溶剂萃取-高效液相色谱-串联质谱法同时测定减肥保健食品中11种食欲抑制剂

建立了测定减肥保健食品中11种非法添加食欲抑制剂(芬氟拉明、苯丙醇胺、西布曲明、舍曲林、利莫那班、安非他酮、西酞普兰、氟西汀、苯氟雷司、托吡酯、唑尼沙胺)的高效液相色谱-串联质谱分析方法.不同类型的减肥保健食品经加速溶剂萃取后,以Waters Atlantis T3柱(150 mm×2.1 mm, 3 μm)分离,采用HPLC-MS/MS电喷雾电离,多反应监测模式检测,以保留时间和子离子比定性,外标法定量.11种食欲抑制剂的检出限为0.05～4.0 mg/kg;在低、中、高3个添加水平范围内的平均回收率为78.3%～103. 6%;日内精密度均小于12%,日间精密度均小于15%.本方法分析速度快、灵敏度高、重现性好,可用于不同减肥保健食品中非法添加食欲抑制剂的检测.     

Effect of ionizing radiaton on the stability of colloidal silver and other metals in aqueous solutions

The effect of ionizing radiation (accelerated electrons and γ-rays of⁶⁰Co) on the stability of aqueous solutions of colloidal silver was studied. The threshold of absorbed dose, at which the stability dramatically decreases and coagulation of the metal occurs, was found. This critical dose corresponds to the reduction of silver ions that determine the electrical potential of the sols. “Radiation” neutralization was also found for cadmium sols and was not observed in the case of thallium, copper, or platinum. A mechanism of the effect of radiation, taking into account the electrostatic factor in the stability of metal sols, was considered. Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 2, pp. 259–264, February, 1997.     

The Universe Accelerated Expansion using Extra-dimensions with Metric Components Found by a New Equivalence Principle

Curved multi-dimensional space-times (5D and higher) are constructed by embedding them in one higher-dimensional flat space. The condition that the embedding coordinates have a separable form, plus the demand of an orthogonal resulting space-time, implies that the curved multi-dimensional space-time has 4D de-Sitter subspaces (for constant extra-dimensions) in which the 3D subspace has an accelerated expansion. A complete determination of the curved multi-dimensional spacetime geometry is obtained provided we impose a new type of “equivalence principle”, meaning that there is a geodesic which from the embedding space has a rectliniar motion. According to this new equivalence principle, we can find the extra-dimensions metric components, each curved multi-dimensional spacetime surface’s equation, the energy-momentum tensors and the extra-dimensions as functions of a scalar field. The generic geodesic in each 5D spacetime are studied: they include solutions where particle’s motion along the extra-dimension is periodic and the 3D expansion factor is inflationary (accelerated expansion). Thus, the 3D subspace has an accelerated expansion.     

Weibull分布场合具有非常数形状参数恒加试验的参数估计

本文讨论了Weibull分布场合恒加寿命试验的点估计和近似区间估计，利用模拟方法说明所给方法的有效性。     

Weibull分布损伤失效率模型常应力下的参数估计

Bhattacharyya和Soejoeti(1989)对步进应力加速寿命试验提出损伤失效率模型(TFR模型)．本文在全加速步加试验场合下指出文献[1]，[2]，[5]中用通常的回归分析方法求取常应力下参数的估计是不合理的，同时给出了如何求取常应力下参数估计的一种方法．     

Microwave Accelerated Extraction and Capillary Electrophoresis Analysis of Berberine from the Cortices of Phellodendron Wilsonii and Phellodendron Amurense

Berberine is one of the most important bioactive compounds used in Chinese herbal drugs to evaluate the quality of the Phellodendron cortex. The cortices of Phellodendron wilsonii and Phellodendron amurense, extracted by using a microwave‐assisted process under a domestic microwave oven in methanol solvent and analyzed by capillary electrophoresis with the buffer solution of 82% 0.1 M aqueous sodium acetate and 18% MeOH (v/v), were demonstrated to be higher in extracting berberine contents and shorter in the process time than those extracted by using a reflux extraction in methanol solvent (for sample B, 2.27 ± 0.08% in 3 min vs. 1.92 ± 0.14% in 5 hrs, respectively). Therefore, the microwave‐assisted process for extraction of berberine is more efficient, rapid and convenient than the reflux extraction and can be used for the extraction of bioactive substances from the crude Chinese drugs.     

Improved controlled relative humidity dynamic mechanical analysis of artists’ acrylic emulsion paints

After improvements were made to a modified Polymer Labs MkIII DMTA instrument to facilitate repeatable controlled humidity (RH) experiments using isothermal and thermal scanning conditions, the viscoelastic properties of titanium white pigmented artists’ acrylic emulsion films were measured in tensile mode. The effects of temperature, relative humidity and accelerated ageing regimes on two brands of titanium white paints were explored. These paints are highly responsive to changes in temperature and relative humidity, formulation differences affect properties slightly, and while light ageing had a negligible effect, thermal ageing resulted in decreased storage modulus and increased film density.