Boltzmann factor via state energy and temperature¶
The Boltzmann factor is an exponential factor that appears in many formulas of statistical physics and thermodynamics, e.g. the canonical partition function of a classical discrete system.
Notation:
\(k_\text{B}\) (
k_B
) isboltzmann_constant
.
Links:
- boltzmann_factor¶
-
- Symbol:
f
- Latex:
\(f\)
- Dimension:
dimensionless
- equilibrium_temperature¶
Equilibrium
temperature
of the system.- Symbol:
T
- Latex:
\(T\)
- Dimension:
temperature
- definition¶
f = exp(-E[i] / (k_B * T))
- Latex:
- \[f = \exp{\left(- \frac{E_{i}}{k_\text{B} T} \right)}\]