| 11. | This screening causes a Boltzmann distribution of electrons to form around the electric potentials.
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| 12. | Sampling from generic probabilistic models, such as a Boltzmann distribution, is hard.
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| 13. | The parametrised normalizing constant for the Boltzmann distribution plays a central role in statistical mechanics.
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| 14. | In the first approximation, it is thus simply given by the Boltzmann distribution law:
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| 15. | However, in such a case, there is no antiderivative for Boltzmann distribution function.
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| 16. | Because of this Boltzmann distribution can be used to solve a very wide variety of problems.
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| 17. | In more general mathematical settings, the Boltzmann distribution is also known as the Gibbs measure.
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| 18. | If the charge density follows a Boltzmann distribution, then the Poisson-Boltzmann equation results.
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| 19. | Which agrees with the Boltzmann distribution.
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| 20. | Figure 2 shows the Maxwell Boltzmann distribution for the speeds of the atoms in four noble gases.
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