Elementary Principles in Statistical Mechanics
E517572
"Elementary Principles in Statistical Mechanics" is a foundational 1902 treatise by Josiah Willard Gibbs that rigorously established the theoretical framework of statistical mechanics and its connection to thermodynamics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Elementary Principles in Statistical Mechanics canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T5390033 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Elementary Principles in Statistical Mechanics Context triple: [Josiah Willard Gibbs, notableWork, Elementary Principles in Statistical Mechanics]
-
A.
The Principles of Statistical Mechanics
The Principles of Statistical Mechanics is a classic 1938 textbook by Richard C. Tolman that systematically develops the foundations of statistical mechanics and its applications to thermodynamics and physical chemistry.
-
B.
Mathematical Foundations of Statistical Mechanics
Mathematical Foundations of Statistical Mechanics is a classic monograph by Aleksandr Khinchin that rigorously develops the probabilistic and measure-theoretic underpinnings of statistical mechanics.
-
C.
Illustrations of the Dynamical Theory of Gases
Illustrations of the Dynamical Theory of Gases is a foundational 1860 scientific paper by James Clerk Maxwell that introduced key ideas of kinetic theory and the statistical behavior of gas molecules.
-
D.
Onsager reciprocal relations
Onsager reciprocal relations are fundamental symmetry relations in nonequilibrium thermodynamics that link pairs of coupled fluxes and forces, showing that certain transport coefficients are equal.
-
E.
Boltzmann–Gibbs entropy in statistical mechanics
Boltzmann–Gibbs entropy in statistical mechanics is the standard measure of disorder or uncertainty in a system, quantifying how many microscopic configurations correspond to a given macroscopic state and forming the basis of classical equilibrium statistical mechanics.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Elementary Principles in Statistical Mechanics Target entity description: "Elementary Principles in Statistical Mechanics" is a foundational 1902 treatise by Josiah Willard Gibbs that rigorously established the theoretical framework of statistical mechanics and its connection to thermodynamics.
-
A.
The Principles of Statistical Mechanics
The Principles of Statistical Mechanics is a classic 1938 textbook by Richard C. Tolman that systematically develops the foundations of statistical mechanics and its applications to thermodynamics and physical chemistry.
-
B.
Mathematical Foundations of Statistical Mechanics
Mathematical Foundations of Statistical Mechanics is a classic monograph by Aleksandr Khinchin that rigorously develops the probabilistic and measure-theoretic underpinnings of statistical mechanics.
-
C.
Illustrations of the Dynamical Theory of Gases
Illustrations of the Dynamical Theory of Gases is a foundational 1860 scientific paper by James Clerk Maxwell that introduced key ideas of kinetic theory and the statistical behavior of gas molecules.
-
D.
Onsager reciprocal relations
Onsager reciprocal relations are fundamental symmetry relations in nonequilibrium thermodynamics that link pairs of coupled fluxes and forces, showing that certain transport coefficients are equal.
-
E.
Boltzmann–Gibbs entropy in statistical mechanics
Boltzmann–Gibbs entropy in statistical mechanics is the standard measure of disorder or uncertainty in a system, quantifying how many microscopic configurations correspond to a given macroscopic state and forming the basis of classical equilibrium statistical mechanics.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
scientific treatise ⓘ |
| academicDiscipline |
applied mathematics
ⓘ
physics ⓘ |
| aim | provide rational foundation of thermodynamics ⓘ |
| approach | classical mechanics framework ⓘ |
| author | Josiah Willard Gibbs ⓘ |
| basedOn |
Gibbs ensemble theory
ⓘ
linked to:
Gibbs ensemble
|
| citedBy |
historians of science
ⓘ
mathematicians ⓘ physicists ⓘ |
| connectsTo | classical thermodynamics ⓘ |
| countryOfPublication |
United States
ⓘ
linked to:
United States of America
|
| describes |
canonical ensemble
ⓘ
grand canonical ensemble ⓘ microcanonical ensemble ⓘ |
| establishes | foundations of equilibrium statistical mechanics ⓘ |
| field |
statistical mechanics
ⓘ
theoretical physics ⓘ thermodynamics ⓘ |
| hasPart |
chapters on ensembles
ⓘ
chapters on thermodynamic analogies ⓘ introduction ⓘ mathematical appendices ⓘ |
| hasReprint | Dover Publications edition ⓘ |
| historicalContext | pre-quantum mechanics era ⓘ |
| influenced |
development of 20th-century statistical physics
ⓘ
development of quantum statistical mechanics ⓘ mathematical physics ⓘ |
| introducesConcept |
distribution function
ⓘ
ensemble average ⓘ phase space ⓘ statistical ensemble ⓘ |
| isClassicIn | statistical mechanics literature ⓘ |
| language | English ⓘ |
| libraryOfCongressClassification | QC174 ⓘ |
| notableFor |
mathematical rigor in thermodynamics
ⓘ
rigorous formulation of statistical mechanics ⓘ systematic use of ensembles ⓘ |
| originalMedium | print ⓘ |
| publicationYear | 1902 ⓘ |
| publisher | Yale University Press ⓘ |
| relatedWork | Thermodynamics by Josiah Willard Gibbs ⓘ |
| subtitle | Developed with Especial Reference to the Rational Foundation of Thermodynamics ⓘ |
| timePeriod | early 20th century ⓘ |
| title | Elementary Principles in Statistical Mechanics ⓘ |
| usedAs | graduate-level textbook ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Elementary Principles in Statistical Mechanics Description of subject: "Elementary Principles in Statistical Mechanics" is a foundational 1902 treatise by Josiah Willard Gibbs that rigorously established the theoretical framework of statistical mechanics and its connection to thermodynamics.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
Elementary Principles in Statistical Mechanics
→
title
→
Elementary Principles in Statistical Mechanics
ⓘ