Neumann stochastic finite element method for calculating temperature field of frozen soil based on random field theory

To study the effect of uncertain factors on the temperature field of frozen soil, we propose a method to calculate the spatial average variance from just the point variance based on the local average theory of random fields. We model the heat transfer coefficient and specific heat capacity as spatially random fields instead of traditional random variables. An analysis for calculating the random temperature field of seasonal frozen soil is suggested by the Neumann stochastic finite element method, and here we provide the computational formulae of mathematical expectation, variance and variable coefficient. As shown in the calculation flow chart, the stochastic finite element calculation program for solving the random temperature field, as compiled by Matrix Laboratory （MATLAB） sottware, can directly output the statistical results of the temperature field of frozen soil. An example is presented to demonstrate the random effects from random field parameters, and the feasibility of the proposed approach is proven by compar- ing these results with the results derived when the random parameters are only modeled as random variables. The results show that the Neumann stochastic finite element method can efficiently solve the problem of random temperature fields of frozen soil based on random field theory, and it can reduce the variability of calculation results when the random parameters are modeled as spatial- ly random fields.

Two-Dimensional Saddle Point Equation of Ginzburg-Landau Hamiltonian for the Diluted Ising Model

The saddle point equation of Ginzburg-Landau Hamiltonian for the diluted Ising model is developed. The ground state is solved numerically in two dimensions. The result is partly explained by the coarse-grained approximation.

Comparative effects of artemisia vulgaris and charcoal moxa stimulating Zhongwan(CV 12) on body temperature in healthy participants:a cross-over single-blind randomized study

OBJECTIVE:To evaluate the efficacy,safety,satisfaction,discomfort and patient preference of moxa cones of artemisia vulgaris and charcoal moxa.METHODS:This comparative study of moxibustion treatment with Artemisia vulgaris and charcoal moxa cone stimulating Zhongwan(CV 12) is a cross-over single-blinded,randomized clinical trial.A total of 40 healthy subjects(24 males and 16females) participated in this study.Two subjects dropped out of the trial.Thirty-eight subjects were treated with Artemisia vulgaris and charcoal moxa cones for 30 min in a cross-over design.After treatment,the patients underwent a 30 minute waiting period,and then the temperatures at Tanzhong(CV 17),Zhongwan(CV 12) and Guanyuan(CV 4) were measured using digital infrared thermal imaging.RESULTS:After the use of Artemisia vulgaris moxa,the patients' body temperatures were slightly lowered at Tanzhong(CV 17),Zhongwan(CV 12)and Guanyuan(CV 4),but the changes were not statistically significant.After the use of charcoal moxa,the patients' body temperatures were somewhat increased at Zhongwan(CV 12) and Guanyuan(CV 4),but the changes were not statistically significant.After Artemisia vulgaris moxa use,the body temperature difference between Zhongwan(CV 12) and Guanyuan(CV 4)was significantly increased.After charcoal moxa use,the body temperature difference between Tanzhong(CV 17) and Zhongwan(CV 12) was significantly decreased in males and in the whole group.This change was caused by the difference in the moxibustion type and by gender differences.CONCLUSION:This pilot study found that moxibustion did not raise the body temperature,but temperature differences between acupoints were affected.Further large-scale randomized controlled trials are needed for the effect of moxibustion on body temperature.