Second law of Thermodynamics

[chesty]

S=Kln(omega)

This is the second law of thermodynamics. What is the signifigance of the equation, specifically the term omega.

 

[-SD-]

SEMPER FIDELIS

 

[Stan O'Zolol]

It means that total entropy will always increase.

 

[chesty]

Actually your close, it really means that the entropy increases as the number of accessible states increase (omega).

Now given that on a large scale, (macroscopic) entropy does always increase on a quantum scale it may decrease.

For example in a control volume (no interaction with the world around it) If I increase "temperature" in the control volume, I increase the number of accessible states of whatever is in there. In this case let's say an atom of hydrogen. It becomes more energetic due to the temperature increase. Therefore, the number of states increase, entropy increases. Now if I lower the temperature the number of accessible states decrease and the entropy within this system decreases. Overall, however, the total entropy of the known universe increases.

Again, this is for a system that is non-interacting with its surroundings. Now omega is a function of the volume of space, where V1=omega1 and V2=omega2 and the product of the two V1V2=omega0.

Therefore the number of states is VrVp/h, where h is Planck's Constant.

 

[Imnotdutch]

Why did you ask the question if you knew the answer?

Actually your close, it really means that the entropy increases as the number of accessible states increase (omega).

Now given that on a large scale, (macroscopic) entropy does always increase on a quantum scale it may decrease.

For example in a control volume (no interaction with the world around it) If I increase "temperature" in the control volume, I increase the number of accessible states of whatever is in there. In this case let's say an atom of hydrogen. It becomes more energetic due to the temperature increase. Therefore, the number of states increase, entropy increases. Now if I lower the temperature the number of accessible states decrease and the entropy within this system decreases. Overall, however, the total entropy of the known universe increases.

Again, this is for a system that is non-interacting with its surroundings. Now omega is a function of the volume of space, where V1=omega1 and V2=omega2 and the product of the two V1V2=omega0.

Therefore the number of states is VrVp/h, where h is Planck's Constant.

 

[HappyScrappy]

same reason you flex your bicep in the when looking in the mirror

 

[chesty]

Because this board was getting really lame with its content so I thought I would go and find out who knew the answer. And I find it really interesting.

 

[HappyScrappy]

my apartment is a pretty good example of entropy at work.

 

[chesty]

You should see my brain.

 

[HappyScrappy]

that's what I say to people before I show them my balls.