Phase Space Distributions and Microcanonical Averages

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Abstract

In the previous chapters, we considered the approximation of Hamiltonian trajectories. In this chapter we study the paths emanating from the collection of all initial conditions within a given set. This is the starting point for statistical mechanics which allows the calculation of averages.

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Leimkuhler, B., & Matthews, C. (2015). Phase Space Distributions and Microcanonical Averages. In Interdisciplinary Applied Mathematics (Vol. 39, pp. 179–210). Springer Nature. https://doi.org/10.1007/978-3-319-16375-8_5

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