12.07.2015 Views

T - IfB

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Binary mixtures(lattice gas)Consider two species A and B distributed withgiven concentrations on the sites of a lattice.E AA is energy of A-A A A bond.E BB is energy of B-B B B bond.E AB is energy of A-B A B bond.Set E AA = E BB = 0 and E AB = 1.Number of each species is constant.29Kawasaki dynamics• Choose any A-B bond.• Calculate ΔE for A-B → B-A.• Metropolis: If ΔE ≤ 0 flip, elseflip with p = exp(-βΔE).• Glauber: Flip with probabilityp = exp(- βΔE)/(1+ exp(- βΔE)).β = 1/kTKyozi Kawasaki30

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