The grand potential and total Helmholtz free energy

  • Thread starter xibeisiber
  • Start date
  • #1
what's the relation of the grand potential [itex]J=F-\mu N[/itex] and total Helmholtz free energy of "system and particle environment" [itex]F^{tot}[/itex]?
In K. Sekimoto's book "Stochastic Energetics" P182, P310 and P311 (see screenshots in the link):
Does it mean the followings:[itex]J=lim[F_{tot}-\mu N_{tot}], lim[F^c]=lim[\mu(N_{tot}-N)], lim[\Omega^cf^c]=lim[\mu N_{tot}][/itex],
And the right term of the formula above A.77 seems to be lack of a factor [itex]\frac{N_{tot}^{N_{tot}}}{N_{tot}!}[/itex],which is infinite when [itex]N_{tot}->\infty[/itex].
 
Last edited:

Answers and Replies

  • #2
Nobody?:L:L
Google book of Stochastic Energetics: link
Is there any problem in the formula A.75(p310) and the first formula in p311?
 

Related Threads on The grand potential and total Helmholtz free energy

  • Last Post
Replies
3
Views
6K
  • Last Post
Replies
4
Views
786
  • Last Post
Replies
0
Views
2K
Replies
1
Views
2K
  • Last Post
2
Replies
26
Views
4K
Replies
4
Views
4K
Replies
0
Views
1K
Replies
4
Views
7K
Top