We give a two sided estimate on the spectral gap for the Boltzmann measures μh on the circle. We prove that the spectral gap is greater than 1 for any h∈R and the spectral gap tends to the positive infinity as h→∞...We give a two sided estimate on the spectral gap for the Boltzmann measures μh on the circle. We prove that the spectral gap is greater than 1 for any h∈R and the spectral gap tends to the positive infinity as h→∞ with speed |h|.展开更多
A Cu-Sn-Pb alloy modelled after an antique was cast and the powder-corrosion (P-C) was prepared on it under simulated natural conditions. The main components of the corrosion are much like those of the ancient bronze ...A Cu-Sn-Pb alloy modelled after an antique was cast and the powder-corrosion (P-C) was prepared on it under simulated natural conditions. The main components of the corrosion are much like those of the ancient bronze powder corrosion. It is found that chloride, water and oxygen are the essential factors for P-C formation of which chlorine plays the most important role. According to the results of expriments and thermodynamic calculations, the chemical mechanism of the copper desease was studied. It is pointed out that the fast spread of P-C is caused by two vicious circles.展开更多
基金This work was supported in part by the National Natural Science Foundation of China(Grant Nos.10871008,11571043,11671076,11871382)and 985 projects.
文摘We give a two sided estimate on the spectral gap for the Boltzmann measures μh on the circle. We prove that the spectral gap is greater than 1 for any h∈R and the spectral gap tends to the positive infinity as h→∞ with speed |h|.
基金Project supported by the National Natural Science Foundation of China.
文摘A Cu-Sn-Pb alloy modelled after an antique was cast and the powder-corrosion (P-C) was prepared on it under simulated natural conditions. The main components of the corrosion are much like those of the ancient bronze powder corrosion. It is found that chloride, water and oxygen are the essential factors for P-C formation of which chlorine plays the most important role. According to the results of expriments and thermodynamic calculations, the chemical mechanism of the copper desease was studied. It is pointed out that the fast spread of P-C is caused by two vicious circles.
