In previous publications, it has been shown that entropy is a measure of the quantum-theoretic shape of the constituents of a system. In this paper, we present examples of quantum-theoretic shapes of some systems each consisting of one unit of a single constituent, in either a stable (thermodynamic) equilibrium state or in states that are not stable equilibrium. The systems that we consider are a structureless particle confined in either a linear box or a square box, and a harmonic oscillator. In general, we find that the shape of each constituent is “smooth”—without ripples—for each thermodynamic equilibrium state, and oscillatory or rippled for states that are either nonequilibrium or unstable equilibrium.
Quantum-theoretic Shapes of Constituents of Systems in Various States
Contributed by the Advanced Energy Systems Division for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received at the AES Division Jan. 2002; revised manuscript received Mar. 2002. Associate Editor: H. Metghalehi
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Gyftopoulos, E. P., and von Spakovsky, M. R. (March 14, 2003). "Quantum-theoretic Shapes of Constituents of Systems in Various States ." ASME. J. Energy Resour. Technol. March 2003; 125(1): 1–8. https://doi.org/10.1115/1.1525245
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