Chemical potential is particle count derivative of internal energy¶
The chemical potential of a system is the amount of energy the system absorbs or releases due to the introduction of a particle into the system, i.e. when the particle count increases by one.
Links:
- chemical_potential¶
chemical_potential
of the system.
- Symbol:
mu
- Latex:
\(\mu\)
- Dimension:
energy
- Symbol:
S
- Latex:
\(S\)
- Dimension:
energy/temperature
- Symbol:
V
- Latex:
\(V\)
- Dimension:
volume
- particle_count¶
particle_count
of the system.
- Symbol:
N
- Latex:
\(N\)
- Dimension:
dimensionless
- internal_energy¶
internal_energy
of the system as a function of its natural variables.
- Symbol:
U(S, V, N)
- Latex:
\(U{\left(S,V,N \right)}\)
- Dimension:
energy
- law¶
mu = Derivative(U(S, V, N), N)
- Latex:
- \[\mu = \frac{\partial}{\partial N} U{\left(S,V,N \right)}\]