Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 17.1-1

QUANTUM FLUIDS

Physics — Statistical Mechanics · entropy-disorder-xlnx-limit

Problem

Consider the quantity

x \ln x

in the limit

x \to 0

. Show by L'Hôpital's rule that

x \ln x

vanishes in this limit. How is this related to the assertion after equation 17.6, that the disorder vanishes when one of the

f_j

is equal to unity?