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Monte Carlo simulation has been performed in one-dimensional Lebwohl-Lashermodel and two dimensional XY-model using the Wang-Landau and theWang-Landau-Transition-Matrix Monte Carlo methods. Random walk has beenperformed in the two-dimensional space comprising of energy-order parameter andenergy-correlation function and the joint density of states (JDOS) wereobtained. From the JDOS the order parameter, susceptibility and correlationfunction are calculated. Agreement between the results obtained from the twoalgorithms is very good.

Monte Carlo simulation of joint density of states of two continuous spin models using Wang-Landau-Transition-Matrix Algorithm