Thanks for the reply :) But I'm still not sure how you get to the last step.
That means the the integral of dpdp = - omega, but I can't see why that is.
Is it something to do with normalising it?
Homework Statement
Show how the Boltzmann entropy is derived from the Gibbs entropy for systems in equilibrium.
Homework Equations
Gibbs entropy S= - \int \rho(p,q) (ln \rho(p,q)) dpdq
where \rho(p,q) is the probability distribution
Boltzmann entropy S= ln\Omega
where \Omega is...
Hi, I have a maths exam tommorrow (!) and I'm stuck on something:
Its about solving LaPlace's equation in plane polar coordinates. There is a circular plate witha temp dist that satisfies
(1/r)(d/dr(r.df/dr)) + 1/r2 . d2/dp2 = 0
(p is phi)
so I used a separable eq of the form f=RP...