Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 16.1-2

THE CANONICAL FORMALISM; STATISTICAL MECHANICS IN HELMHOLTZ REPRESENTATION

Physics — Statistical Mechanics · canonical-formalism-pressure-partition-sum

Problem

From the canonical algorithm expressed by equations 16.9 and 16.10, express the pressure in terms of a derivative of the partition sum. Further, express the pressure in terms of the derivatives

\partial E_j/\partial V

(and of

T

and the

E_j

). Can you give a heuristic interpretation of this equation?

Related theory

Atmospheric Pressure And Gauge Pressure

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