This preview shows page 1. Sign up to view the full content.
Unformatted text preview: ropy as a function of V and T .
6. The Dieterici equation of state for a gas is
p= kB T
a
exp −
v−b
kB T v where v = V /N . Find the critical point and compute the ratio pc vc /kB Tc . Calculate
the critical exponents β , δ and γ .
7. The q state Potts model is a generalisation of the Ising model. At each lattice site
lives a variable σi ∈ {1, 2, . . . , q }. The Hamiltonian is given by the sum over nearest
neighbours
HPotts = − 3J
2 δσi σj
ij How many ground states does the system have at T = 0?
Show that the 3state Potts model is equivalent to the Hamilt...
View
Full
Document
 Spring '14

Click to edit the document details