Translation of Ludwig Boltzmann’s Paper “On the Relationship between the Second Fundamental Theorem of the Mechanical Theory of Heat and Probability Calculations Regarding the Conditions for Thermal Equilibrium” Sitzungberichte der Kaiserlichen Akademie der Wissenschaften. Mathematisch-Naturwissen Classe. Abt. II, LXXVI 1877, pp 373-435 (Wien. Ber. 1877, 76:373-435). Reprinted in Wiss. Abhandlungen, Vol. II, reprint 42, p. 164-223, Barth, Leipzig, 1909

2015/04/02 by Kim A. Sharp, Franz Matschinsky · 2 citations
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Applied mathematics #Boltzmann constant #Boltzmann equation #Chemistry #H-theorem #Mathematical economics #Mathematics #Maximum entropy thermodynamics #Phase Equilibria and Thermodynamics #Physics #Principle of maximum entropy #Statistical Mechanics and Entropy #Statistical physics #Statistics #Thermodynamics #Translation (biology)

paper · pdf · doi:10.3390/e17041971

openalex publication_date 2015/04/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/22

Abstract

Translation of the seminal 1877 paper by Ludwig Boltzmann which for the first time established the probabilistic basis of entropy. Includes a scientific commentary.

Citations

• Statistical Mechanics
• Ableitung des Stefan'schen Gesetzes, betreffend die Abhängigkeit der Wärmestrahlung von der Temperatur aus der electromagnetischen Lichttheorie
• Boltzmann's Entropy and Time's Arrow

Cited by

• Gibbs volume entropy is incorrect
• Entropy (information theory) [wikipedia]

Related

• Ludwig Boltzmann, Transport Equation and the Second Law
• Boltzmann's Approach to Statistical Mechanics
• Ludwig Edward Boltzmann
• Boltzmann and Statistical Mechanics
• Einstein and Boltzmann: Determinism and Probability or The Virial Expansion Revisited