Isentropic

#Physics
Describes a process that doesn't change in entropy. Is also a reversible adiabatic process

$\displaystyle \Delta S=0$

$\displaystyle \mathrm{d}\sigma=0$

• Statistical mechanics interpretation

$\displaystyle \frac{ \mathrm{d} }{ \mathrm{d}t }V\tau^{\frac{3}{2}}=0$

• This quantity stays constant in isentropic processes

$\displaystyle {\tau}{1}V{1}^{\gamma-1}={\tau}{2}V{2}^{\gamma-1}$

• $\displaystyle \gamma$ is the heat capacity ratio

$\displaystyle ta_{1}^{\gamma/(1-\gamma)}p_{1}={\tau}{2}^{\gamma(1-\gamma)}p{2}$

$\displaystyle p_{1}V_{1}^{\gamma}=p_{2}V_{2}^{\gamma}$