Calculate the critical exponents and 7 the q state

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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 3-state Potts model is equivalent to the Hamilt...
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