Thermodynamic limit - Aetherwisp

The thermodynamic limit is the theoretical limit of a material body with $N$ atoms and volume $V$ where

N\to \infty,\quad V\to \infty,\quad \frac{N}{V}=\text{constant}=n=\frac{1}{v}

which is achieved by extending the body to infinite size whilst maintaining its atomic density $N/V=n$ constant. $v$ is the specific volume of the body. The value of this limit is that in it, only intensive properties apply.