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cond-mat.stat-mech2026
The Mesoscopic Partition Function:A Combined Spatial and Phase-Space Cell Structure
Bob Osano
We develop a mesoscopic formulation of equilibrium statistical mechanics based on coarse-grained occupation-number sectors of one-particle phase space. A mesoscopic partition funct…
cond-mat.stat-mech2026
Perturbation Theory of the Free Energy via the Mesoscopic Combined Partition Function
Bob Osano
We develop a systematic perturbation theory for the Helmholtz free energy of a classical -body system within the mesoscopic framework of~\cite{OsanoMeso,OsanoExtensivity}. The c…
cond-mat.stat-mech2026
Entropy additivity from exponential decay of correlations: a coarse-grained operator approach
Bob Osano
Thermodynamic extensivity is commonly introduced as a postulate -- the homogeneity of degree one in thermodynamic potentials. We provide a constructive derivation of this property…