Nonequilibrium Statistical Physics Subject to the Anomalous Langevin Equation in Liouville Space

Considering that thermodynarmic irreversibility and hydrodynamic equations can not be derived rigorously and unifiedly from the Liouville equations, the anomalous Langevin equation in the Liouville space is proposed as a fundamental equation of statistical physics. This equation reflects that the law of motion of particles obeying reversible, deterministic laws in dynamics becomes irreversible and stochastic in thermodynamics. From this the fundamental equations of nonequilibrium thermodynamics, the principle of entropy increase and the theorem of minimum entropy production have been derived. The hydrodynamic equations, such as the generalized Navier-Stokes equation and the mass drift-diffusion equation etc. have been derived rigorously from the kinetic kinetic equation which is reduced from the anomalous Langevin equation in Liouville space. All these are unified and self consistent. But it is difficult to prove that entropy production density σ can never be negative everywhere for all the isolated inhomogeneous systems far from equilibrium.

Early Bilingual Vocabulary Development Among Low-SES Ethnic Minority Learners in China:The Case of Uyghur and Kazak Children

Vocabulary knowledge is one of the most important aspects of language development. For bilingual students, early vocabulary development often predicts their future bilingual success. This paper examines early bilingual receptive vocabulary knowledge of ethnic minority children(N=135) from two large ethnic language communities(Uyghur and Kazak) in three national-level povertystricken counties in Xinjiang, China. The children’s bilingual vocabulary knowledge was assessed using translated versions of the Peabody Picture Vocabulary Test-IV(PPTV-IV) in Putonghua(PTH) and their mother tongue(MT) Uyghur or Kazak. Data were analyzed through four General Linear Models(GLM). The analyses showed that both groups scored higher in MT vocabulary knowledge than that in their PTH, although the Kazak students’ MT vocabulary scores were lower than those of the Uyghurs. While gender, age, L1, or residence location were not significant factors in differences across the two groups in PTH, among the Kazak children, the main effect of age was significant in MT;and among Uyghur children, residence location had a significant effect. The two groups also differed in patterns of acquisition in different parts of speech(nouns, verbs, and attributes) with Uyghur children performing strongest in MT and PTH verbs. The findings have important implications for ensuring the quality of early bilingual education among impoverished Chinese minority communities.

Multivariate Statistical Process Monitoring of an Industrial Polypropylene Catalyzer Reactor with Component Analysis and Kernel Density Estimation

Abstract Data-driven tools, such as principal component analysis （PCA） and independent component analysis （ICA） have been applied to different benchmarks as process monitoring methods. The difference between the two methods is that the components of PCA are still dependent while ICA has no orthogonality constraint and its latentvariables are independent. Process monitoring with PCA often supposes that process data or principal components is Gaussian distribution. However, this kind of constraint cannot be satisfied by several practical processes. To ex-tend the use of PCA, a nonparametric method is added to PCA to overcome the difficulty, and kernel density estimation （KDE） is rather a good choice. Though ICA is based on non-Gaussian distribution intormation, .KDE can help in the close monitoring of the data. Methods, such as PCA, ICA, PCA.with .KDE（KPCA）, and ICA with KDE,（KICA）, are demonstrated and. compared by applying them to a practical industnal Spheripol craft polypropylene catalyzer reactor instead of a laboratory emulator.

Multi-Ethnic Residential Segregation in Urumqi, China, 1982-2010

The ethnic landscape of Urumqi has undergone significant changes since the 1980s, which has fostered greater ethnic diversity. However, little is known about the changing patterns of spatial segregation among ethnic groups. By using the Urumqi census data from 1982 to 2010, this study examines the level of residential segregation of Uighur from Hart and the level of residential segregation of Kazak, Hui, Mongolia and other ethnic minority groups from the majority Han and Uygur population by the indices of dissimilarity and exposure. Then it assesses a regression between residential segregation and the percentage of the ethnic groups. Finally, it finds out whether there exists a regression between residential segregation and the percentage of the ethnic groups. The result reveals that Kazak population is the most segregated group from Han and Uygur, although the level of segregation has declined from 1982 to 2010. Uighur people experienced lower level of segregation from Han between 1982 and 2000, but has gradually increased, particularly from 2000 to 2010; this unexpected change of the segregation for Uighur group might be associated with 7.5 Events. The findings of the study show that the growth of the Han population is negatively associated with segregation of the ethnic groups in a district, and that the association between the percentage of population and segregation was uniform for Uighur, Hui and Kazak： the higher percentage of an ethnic group in a district, the lower level of segregation.