# A one-dimensional phase transition constitutive model

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Â© 2000 American Institute of Physics.

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In an 1884 paper, Boltzmann showed that for a one-dimensional mechanical system with a convex potential energy $\varphi$ that depends on a parameter V, it is possible to define a temperature T, pressure p, and entropy S that satisfy the Gibbs relation Td S = d e + p d V, where $e = \mathrm{kin....

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