Under stability, temperedness, and exponential cluster decomposition of the pair potential, the coarse-grained entropy of the N-body system satisfies S_CG = sum S_i plus an exponentially suppressed correction, recovering additivity in the thermodynamic limit.
Osano, Second-order perturbation theory: a covariant approach involving a barotropic equation of state Classical and Quantum Gravity 34 (12), 125004
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Entropy additivity from exponential decay of correlations: a coarse-grained operator approach
Under stability, temperedness, and exponential cluster decomposition of the pair potential, the coarse-grained entropy of the N-body system satisfies S_CG = sum S_i plus an exponentially suppressed correction, recovering additivity in the thermodynamic limit.