A purported infinite hierarchy of least-action principles for the 1D energy balance is constructed, but the dissipative action yields only the time derivative of the heat equation unless an extra initial condition is imposed.
Classical mechanics
1 Pith paper cite this work. Polarity classification is still indexing.
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An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy
A purported infinite hierarchy of least-action principles for the 1D energy balance is constructed, but the dissipative action yields only the time derivative of the heat equation unless an extra initial condition is imposed.