A shell with N internal particles has a piecewise coordinate distribution set by particle masses and a momentum distribution set by degrees of freedom, with universal RMS displacement Σm_i² R² / 3(M+m_tot)².
Thermodynamics from first principles: Correlations and nonextensivity
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Coordinate and Momentum Distributions of a Small Composite System
A shell with N internal particles has a piecewise coordinate distribution set by particle masses and a momentum distribution set by degrees of freedom, with universal RMS displacement Σm_i² R² / 3(M+m_tot)².