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Josiah Willard Gibbs
Portrait of Josiah Willard Gibbs
Josiah Willard Gibbs
Born (1839-02-11)February 11, 1839
Died April 28, 1903(1903-04-28) (aged 64)
New Haven, Connecticut, U.S.
Nationality US-American
Alma mater Yale College
Known for
  • Chemical thermodynamics
  • Chemical potential
  • Statistical mechanics
  • Statistical ensemble
  • Gibbs entropy
  • Phase space
  • Physical optics
  • Gibbs free energy
  • Phase rule
  • Gibbs paradox
  • Vector calculus
  • Cross product
  • Gibbs phenomenon
  • Gibbs–Helmholtz equation
  • Gibbs–Duhem equation
  • Gibbs algorithm
  • Gibbs measure
  • Gibbs state
  • Gibbs–Thomson effect
  • Gibbs isotherm
  • Gibbs–Donnan effect
  • Gibbs–Marangoni effect
  • Gibbs lemma
  • Gibbs' inequality
  • Gibbs distribution
Scientific career
Fields Physics, chemistry, mathematics
Institutions Yale College
Thesis On the form of the teeth of wheels in spur gearing (1863)
Doctoral advisor Hubert Anson Newton
Doctoral students Edwin Bidwell Wilson, Irving Fisher, Henry Andrews Bumstead, Lynde Wheeler, Lee De Forest
Influences Rudolf Clausius, Hermann Grassmann, James Clerk Maxwell, Ludwig Boltzmann
Gibbs's signature

Josiah Willard Gibbs (February 11, 1839 – April 28, 1903) was an American scientist who made significant theoretical contributions to physics, chemistry, and mathematics. His work on the applications of thermodynamics was instrumental in transforming physical chemistry into a rigorous inductive science. Together with James Clerk Maxwell and Ludwig Boltzmann, he created statistical mechanics (a term that he coined), explaining the laws of thermodynamics as consequences of the statistical properties of ensembles of the possible states of a physical system composed of many particles. Gibbs also worked on the application of Maxwell's equations to problems in physical optics. As a mathematician, he invented modern vector calculus (independently of the British scientist Oliver Heaviside, who carried out similar work during the same period).

In 1863, Yale awarded Gibbs the first American doctorate in engineering. After a three-year sojourn in Europe, Gibbs spent the rest of his career at Yale, where he was a professor of mathematical physics from 1871 until his death. Working in relative isolation, he became the earliest theoretical scientist in the United States to earn an international reputation and was praised by Albert Einstein as "the greatest mind in American history." In 1901, Gibbs received what was then considered the highest honour awarded by the international scientific community, the Copley Medal of the Royal Society of London, "for his contributions to mathematical physics."

Commentators and biographers have remarked on the contrast between Gibbs's quiet, solitary life in turn of the century New England and the great international impact of his ideas. Though his work was almost entirely theoretical, the practical value of Gibbs's contributions became evident with the development of industrial chemistry during the first half of the 20th century. According to Robert A. Millikan, in pure science, Gibbs "did for statistical mechanics and thermodynamics what Laplace did for celestial mechanics and Maxwell did for electrodynamics, namely, made his field a well-nigh finished theoretical structure."

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