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Key idea

Metropolis Monte Carlo Simulates Location of Ions both the mean and the variance. Start with Configuration A , with computed energy E A Move an ion to location B , with computed energy E B If spheres do not overlap, energy is 0. If sphere overlap energy is ∞.

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Key idea

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  1. Metropolis Monte Carlo Simulates Location of Ions both the mean and the variance • Start with Configuration A, with computed energy EA • Move an ion to location B, with computed energy EB • If spheres do not overlap, energy is 0. If sphere overlap energy is ∞. • If EB < EA: accept the new configuration. • If EB > EA : accept the new configurationwith probability exp{-(EB - EA)/kBT} Key idea Instead of choosing configurations from uniform distribution, then weighting them with exp(−E/k BT), MMC chooses them with a Boltzmann probability and weights them evenly

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