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Physics
Classical Physics
Thermodynamics
What is the calculation for value B in Penrose's entropy model?
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[QUOTE="Philip Koeck, post: 6867958, member: 586311"] Not sure it's right, but here's my thinking: There are 1 000 000 000 smaller cubes (intermediate boxes) in the big box. First I fill the lower halves (exactly) of all the smaller cubes with red and the upper halves with blue balls. For this there are ((0.5 x 10[SUP]24[/SUP])!)[SUP]2[/SUP] possibilities, the same as our value for B. Now I have to take into account that it doesn't matter how the red and blue balls are placed in the smaller cubes as long as they are equal in number in each box. I have to multiply with the number of permutations within each smaller box, but avoid re-counting the permutations I've already considered (the ones only involving balls of the same color). For each smaller box that gives a factor (10[SUP]15[/SUP])!/((0.5 x 10[SUP]15[/SUP])!)[SUP]2[/SUP] and there are 1 000 000 000 smaller boxes. [/QUOTE]
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Forums
Physics
Classical Physics
Thermodynamics
What is the calculation for value B in Penrose's entropy model?
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