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Homogeneity criteria (Thermodynamics)

  1. Jan 8, 2015 #1
    1. The problem statement, all variables and given/known data
    The problem is this one:

    Consider a monocomponent fluid, isolated and in equilibrium,

    a) Find the homogeneity criteria that must fulfill the number of microstates Ω(U,V,N).

    b) If Ω(U,V,N)=exp(a*Vα*Uβ) when a>0 use the result in a to find the condition that have to fulfill α and β.

    c) Find the Helmholtz energy expresion and study the stability of the system depending of α and β

    I don't knok how to find the 1º part, so I cannot continue, if you Can help me, I'll be very grateful,

    2. Relevant equations


    S=Kb·ln(Ω) (And possible Much More)

    3. The attempt at a solution

    I don't have any idea on how to solve this problem, because i don't find any information in the web, but i think that probable, this homogeneity criteria means Criteria for equilibrium in statistical thermodynamics, that I find some information in the web, but this criteria only arrives that in a isoltated sistem, all the parts of the system must have the same Temperature, and I think that the problem shoud not focus in this way.

    I see that possible one criteria is that Ω(λU,λV,λN)=λ*Ω(U,V,N)

    A little help, can help me to solve this problem
     
  2. jcsd
  3. Jan 11, 2015 #2

    DrClaude

    User Avatar

    Staff: Mentor

    I have never hear of the term, but it is indeed reasonable that it means equilibirum. In that case, what is the relation between the number of microstates and equilibirum?
     
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