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ivancen金虫 (正式写手)
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[交流]
我写一封信求助国外一位教授，请大家帮我改一下
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I am very interested in the diffusion on porous media. I have a question to ask for you help. Please help me, I feel very confused. Usually, the spectral dimension was calculated on percolation system and homo or hererogeneous fractal structure,for example,DLA, Sierpinski gaskets,fractal trees etc..Some consequences obeyed the AO conjecture, but some deviated. Now I want to calculate the spectral dimension of a kind of catalyst through three steps below: 1 Correlation function of pore and mass is detemined by SAXS method, because the catalyst is a kind of mesoporous media. 2 Building the 3d model of catalyst by 3d reconstruction method based on correlaton function. (Simulated Annealing method was carried on.) 3 Calculating the spectral dimension in this model by Monte Calor method. The structure of my catalyst model is not a fractal,because of the correlation properties.But it is a disordered system and the diffusion is anomalous. Obviously the result of spectral dimension deviates 4/3. I don't know it would be right or fault. Then, spectral dimension must be caculated in a fractal structure? How about other structure? Please criticize my method. I sincerely expect your response. Thank you for your kind attention! Sincerely yours |
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6楼2009-11-17 14:56:17
2楼2009-11-17 13:42:51
ivancen
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我自己改了一下，请指正 I am writing to solicit your kind help as I am confused by a question related to the diffusion on porous media which I have been intereseted in. Usually, the spectral dimension was calculated on percolation system at the threshold and homo or hererogeneous fractal structure for example,DLA, sierpinski gaskets,fractal trees.Some consequences obeyed the AO conjecture, but some deviated. Now I want to calculate the spectral dimension of a kind of catalyst through the following three steps: 1 The correlation function of pore and mass phase of the catalyst is determined by SAXS, because the catalyst is a kind of mesoporous media. 2 Building a three dimension model of the catalyst through a 3d reconstruction method based on the correlaton function of pore and mass . (Simulated Annealing method was carried on.) 3 Calculating the spectral dimension in this model by Monte Calor method. The catalyst model is not a fractal structure,because of the correlation properties of pore and mass. However it is a disordered system and the diffusion is anomalous. And the result of spectral dimension deviates 4/3. I don't know whether the result is right or wrong. Does spectral dimension have to be applied in a fractal structure? How about other structure? Please criticize my method. |
4楼2009-11-17 14:29:06
jhuiuc
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5楼2009-11-17 14:37:33