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Counting the number of configurations (Entropy)by naima
Tags: entropy 
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#1
Nov1010, 11:42 AM

PF Gold
P: 354

Hi all,
Entropy uses the 6N dimensional phase space. But ... Roger Balian in "Scientific American" takes one liter gas in a cube and he writes: I can replace the continuous volume by Q = 10^100 sites after having evacuated the speeds (he says this is possible with quantum mechanics) He then counts the number of possible places for the N molecules and get the entropy. How can he do that? 


#2
Nov1110, 12:38 AM

P: 555

I guess he is considering very fast processes in which the modifications on the wall of this cube does not introduce modifications in the pattern of velocities, just the number of positions available will change, so, in order to evaluate the entropy variation one has only to monitor the number of available positions.
I am not sure. Best wishes DaTario 


#3
Nov1110, 04:55 AM

PF Gold
P: 354

Surprisingly, the distance between 2 sites is like Planck's length!.
Is it really correct to ignore speeds in that counting? 


#4
Nov1910, 07:44 PM

P: 555

Counting the number of configurations (Entropy)
IMO, if you are doing the compression with high velocity compared with the mean velocity of the particles in the gas and by small steps, it seems one can well defend this procedure.
Best wishes DaTario 


#5
Nov2010, 04:34 PM

P: 46




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