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Increase the number of samples when the PDF is invariant

Background: $$\frac{\partial C}{\partial t} = D \frac{\partial^2 C}{\partial x^2}$$ is given by Fick's second law, in which $D$ is the diffusion coefficient. … In molecular dynamics (MD) simulation, one way to calculate the diffusion coefficient $D$ is to calculate the expectation $$\Bbb E(x^2)_t = \int_{-\infty}^{+\infty}x^2C(x, t)dx = \frac{1}{N}\sum_{i = …
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