Abstract
This chapter introduces an approach for calculating pressure-volume-temperature equations of state with nested sampling.
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This is made possible by the assumption made in Appendix A, Sect. A.1, of a uniform prior over the parameters (A.10). Applying Bayes’ Theorem, we see \(\mathrm {prob}\left( \varvec{\theta }\vert M, \left\{ D_k \right\} \right) = \mathrm {prob}\left( \left\{ D_k \right\} \vert M, \varvec{\theta }\right) \times \frac{\mathrm {prob}\left( \varvec{\theta }\vert M\right) }{\mathrm {prob}\left( \left\{ D_k \right\} \vert M\right) }\). With our assumption of a uniform prior for the parameters, the fraction is simply a constant.
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Baldock, R.J.N. (2017). Equations of State. In: Classical Statistical Mechanics with Nested Sampling. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-66769-0_9
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