Entropy is derivative of free energy¶

Entropy of a system can be found if its free energy is known as a function of temperature.

Links:

Wikipedia, follows from the corresponding fundamental relation.

entropy¶

entropy of the system.

Symbol:: S
Latex:: \(S\)
Dimension:: energy/temperature

temperature¶

temperature of the system.

Symbol:: T
Latex:: \(T\)
Dimension:: temperature

volume¶

volume of the system.

Symbol:: V
Latex:: \(V\)
Dimension:: volume

particle_count¶

particle_count of the system.

Symbol:: N
Latex:: \(N\)
Dimension:: dimensionless

free_energy¶

helmholtz_free_energy of the system as a function of temperature, volume, and particle_count.

Symbol:: F(T, V, N)
Latex:: \(F{\left(T,V,N \right)}\)
Dimension:: energy

law¶

S = -Derivative(F(T, V, N), T)

Latex:: \[S = - \frac{\partial}{\partial T} F{\left(T,V,N \right)}\]