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Page "Great Books of the Western World" ¶ 141
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On and Equilibrium
Building on the work of Clausius, between the years 1873-76 the American mathematical physicist Willard Gibbs published a series of three papers, the most famous one being the paper On the Equilibrium of Heterogeneous Substances.
One milestone was the publication in 1876 by Josiah Willard Gibbs of his paper, On the Equilibrium of Heterogeneous Substances.
The schools with the most-lasting effect in founding the modern versions of thermodynamics are the Berlin school, particularly as established in Rudolf Clausius ’ s 1865 textbook The Mechanical Theory of Heat, the Vienna school, with the statistical mechanics of Ludwig Boltzmann, and the Gibbsian school at Yale University, American engineer Willard Gibbs ' 1876 On the Equilibrium of Heterogeneous Substances launching chemical thermodynamics.
During the years 1873 – 76 the American mathematical physicist Josiah Willard Gibbs published a series of three papers, the most famous being On the Equilibrium of Heterogeneous Substances.
These were collected as a long monograph titled " On the Equilibrium of Heterogeneous Substances ," which is now deemed to be one of the greatest scientific achievements of the 19th century and one of the foundations of both physical chemistry and statistical mechanics.
The publication of the paper " On the Equilibrium of Heterogeneous Substances " ( 1875 – 8 ) is now regarded as a landmark in the development of physical chemistry.
" In his 1876 magnum opus On the Equilibrium of Heterogeneous Substances, a graphical analysis of multi-phase chemical systems, he engaged his thoughts on chemical free energy in full.
This argument can be easily made rigorous by exhaustion by using little rectangles instead of infinitesimal lines, and this is what Archimedes does in On the Equilibrium of Planes.
These sorts of theoretical investigations culminated in the 1876 publication of the Gibbs ' famous work On the Equilibrium of Heterogeneous Substances and in the construction of the Gibbs ’ governor, shown adjacent.
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A complete theoretical treatment of the subject was given by J. Willard Gibbs in his work On the Equilibrium of Heterogeneous Substances ( 1875-8 ).

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