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High Quality Content by WIKIPEDIA articles! The Wang and Landau algorithm is an extension of Metropolis Monte Carlo sampling. Initially designed for physical systems, the Metropolis Monte Carlo method was based on Boltzmann's insight that at a given temperature molecules are distributed between high energy, or unfavorable states, and low energy, or favorable states, with a probability given by both the energy difference and the density of states. Thus if there is an extremely large number of less-favored states, the less-favored states will dominate, if the temperature is sufficiently high to…mehr

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High Quality Content by WIKIPEDIA articles! The Wang and Landau algorithm is an extension of Metropolis Monte Carlo sampling. Initially designed for physical systems, the Metropolis Monte Carlo method was based on Boltzmann's insight that at a given temperature molecules are distributed between high energy, or unfavorable states, and low energy, or favorable states, with a probability given by both the energy difference and the density of states. Thus if there is an extremely large number of less-favored states, the less-favored states will dominate, if the temperature is sufficiently high to overcome the energy difference. This is seen, for instance, when wax melts. At a low temperature only the favorable, solid states are reachable. As temperature rises, a huge number of less favored states becomes possible, and the solid turns into a liquid.