The First-Order Kohmoto Entropy of the Large Scale Structure of the Universe

The observaed evidences have shown that the distribution of the large scale structure of the universe is self-similar or self-affine, and the fractal dimensions of these two kinds of distrubtions have been obtained. Kohmoto entropy pointed out in multifractals has established the form analogy between the multifractals and thermodynamics. In a three dimension spherical system of coordinates, we calculate the first order Kohmoto entropy of the large structure of the universe which has the self-similar fractal distrubtion in the region r_o≤r≤R. From the point of view of thermodynamics, the large scale structure of the universe represents one kind of order structure and the dissipative self-organized processes is the direct reason of the forming of this structure.