Disambiguation evidence for Boltzmann–Gibbs entropy in statistical mechanics via surface form
"Boltzmann–Gibbs entropy"
As subject (48)
Triples where this entity appears as subject under the
label "Boltzmann–Gibbs entropy".
| Predicate | Object |
|---|---|
| additivityProperty | additive for statistically independent subsystems ⓘ |
| appearsOn | Boltzmann’s tombstone formula S = k_B ln W ⓘ |
| appliesTo | canonical ensemble ⓘ |
| appliesTo | classical systems in equilibrium ⓘ |
| appliesTo | grand canonical ensemble ⓘ |
| appliesTo | microcanonical ensemble ⓘ |
| assumes | ergodic hypothesis ⓘ |
| assumes | short-range interactions in typical applications ⓘ |
| basisOf | classical equilibrium statistical mechanics ⓘ |
| concavityProperty | concave functional of the probability distribution ⓘ |
| continuousVersionName |
Boltzmann–Gibbs entropy in statistical mechanics
self-linksurface differs
ⓘ
surface form:
Gibbs entropy
|
| contrastedWith | Rényi entropy ⓘ |
| contrastedWith | Tsallis entropy ⓘ |
| domain | continuous probability densities ⓘ |
| domain | discrete probability distributions ⓘ |
| field | information theory ⓘ |
| field | statistical mechanics ⓘ |
| field | thermodynamics ⓘ |
| historicalOrigin | late 19th century ⓘ |
| increasesWith | irreversible processes ⓘ |
| instanceOf | information measure ⓘ |
| instanceOf | statistical mechanical entropy ⓘ |
| instanceOf | thermodynamic entropy ⓘ |
| maximizationYields | Boltzmann distribution ⓘ |
| maximizedUnder | constraints on average energy ⓘ |
| maximizedUnder | normalization of probabilities ⓘ |
| monotonicWith | number of accessible microstates ⓘ |
| namedAfter | Josiah Willard Gibbs ⓘ |
| namedAfter | Ludwig Boltzmann ⓘ |
| quantifies | disorder ⓘ |
| quantifies | number of microscopic configurations compatible with a macroscopic state ⓘ |
| quantifies | uncertainty ⓘ |
| relatedTo |
Boltzmann–Gibbs entropy in statistical mechanics
self-linksurface differs
ⓘ
surface form:
Boltzmann entropy
|
| relatedTo |
Boltzmann–Gibbs entropy in statistical mechanics
self-linksurface differs
ⓘ
surface form:
Gibbs entropy
|
| relatedTo | H-theorem ⓘ |
| relatedTo |
Maxwell–Boltzmann statistics
ⓘ
surface form:
Maxwell–Boltzmann distribution
|
| relatedTo | Shannon entropy ⓘ |
| relatedTo | canonical partition function ⓘ |
| relatedTo | second law of thermodynamics ⓘ |
| standardFormula | S = -k_B \sum_i p_i \ln p_i ⓘ |
| standardFormula | S = k_B \ln W ⓘ |
| symbol | S ⓘ |
| unit | joule per kelvin ⓘ |
| usedFor | characterizing equilibrium states ⓘ |
| usedFor | defining free energy ⓘ |
| usedFor | defining temperature in statistical mechanics ⓘ |
| usedFor | deriving thermodynamic relations ⓘ |
| usesConstant | Boltzmann constant ⓘ |