Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 10.6-1

PROPERTIES OF MATERIALS

Physics — Statistical Mechanics · scaling-critical-exponents

Problem

Show that the following identities hold among the critical indices

\alpha + 2\beta + \gamma = 2 \quad \text{(``Rushbrooke's scaling law'')}

\gamma = \beta(\delta - 1) \quad \text{(``Widom's scaling law'')}