Reflections on Gibbs: From Statistical Physics to the Amistad V3.0

This note is based upon a talk given at an APS meeting in celebration of the achievements of J. Willard Gibbs. J. Willard Gibbs, the younger, was the first American physical sciences theorist. He was one of the inventors of statistical physics. He introduced and developed the concepts of phase space...

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Published inJournal of statistical physics Vol. 156; no. 1; pp. 1 - 9
Main Author Kadanoff, Leo P.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.07.2014
Springer
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ISSN0022-4715
1572-9613
DOI10.1007/s10955-014-1000-4

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Abstract This note is based upon a talk given at an APS meeting in celebration of the achievements of J. Willard Gibbs. J. Willard Gibbs, the younger, was the first American physical sciences theorist. He was one of the inventors of statistical physics. He introduced and developed the concepts of phase space, phase transitions, and thermodynamic surfaces in a remarkably correct and elegant manner. These three concepts form the basis of different areas of physics. The connection among these areas has been a subject of deep reflection from Gibbs’ time to our own. This talk therefore celebrated Gibbs by describing modern ideas about how different parts of physics fit together. I finished with a more personal note. Our own J. Willard Gibbs had all his many achievements concentrated in science. His father, also J. Willard Gibbs, also a Professor at Yale, had one great non-academic achievement that remains unmatched in our day. I describe it.
AbstractList This note is based upon a talk given at an APS meeting in celebration of the achievements of J. Willard Gibbs. J. Willard Gibbs, the younger, was the first American physical sciences theorist. He was one of the inventors of statistical physics. He introduced and developed the concepts of phase space, phase transitions, and thermodynamic surfaces in a remarkably correct and elegant manner. These three concepts form the basis of different areas of physics. The connection among these areas has been a subject of deep reflection from Gibbs’ time to our own. This talk therefore celebrated Gibbs by describing modern ideas about how different parts of physics fit together. I finished with a more personal note. Our own J. Willard Gibbs had all his many achievements concentrated in science. His father, also J. Willard Gibbs, also a Professor at Yale, had one great non-academic achievement that remains unmatched in our day. I describe it.
This note is based upon a talk given at an APS meeting in celebration of the achievements of J. Willard Gibbs. J. Willard Gibbs, the younger, was the first American physical sciences theorist. He was one of the inventors of statistical physics. He introduced and developed the concepts of phase space, phase transitions, and thermodynamic surfaces in a remarkably correct and elegant manner. These three concepts form the basis of different areas of physics. The connection among these areas has been a subject of deep reflection from Gibbs' time to our own. This talk therefore celebrated Gibbs by describing modern ideas about how different parts of physics fit together. I finished with a more personal note. Our own J. Willard Gibbs had all his many achievements concentrated in science. His father, also J. Willard Gibbs, also a Professor at Yale, had one great non-academic achievement that remains unmatched in our day. I describe it. Keywords Philosophy of science * History of science * Statistical physics
Audience Academic
Author Kadanoff, Leo P.
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Cites_doi 10.1016/S0049-237X(06)80065-0
10.1007/978-3-319-06361-4
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History of science
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BattermantRWThe Devil in the Details: Asymptotic Reasoning in Explanation, Reduction and Emergence2002OxfordOxford University Press
KadanoffLScaling laws for ising models near tc\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$t_c$$\end{document}Physics19662263
NagelEThe Structure of Science1961LondonRoutledge
GibbsJWFourier’s seriesNature1898596061899Natur..59..606G10.1038/059606a0
BerryMRemarks on degeneracies of semiclassical energy levelsJ. Phys. A197710L193L1941977JPhA...10L.193B10.1088/0305-4470/10/11/004
Caldi, D.G., Mostow, D.G. (eds.) Proceedings of the Gibbs Symposium, Yale University, 17–18 May 1989, American Mathematics Society, AIP (1990)
BokulichAReexamining the Quantum-Classical Relation: Beyond Reductionism and Pluralism2008CambridgeCambridge University Press10.1017/CBO9780511751813
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GibbsJWThe Scientific Papers of J. Willard Gibbs, Vol. I Thermodynamics; Vol. II Misc1961New YorkDover
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References_xml – reference: BokulichAReexamining the Quantum-Classical Relation: Beyond Reductionism and Pluralism2008CambridgeCambridge University Press10.1017/CBO9780511751813
– reference: KadanoffLScaling laws for ising models near tc\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$t_c$$\end{document}Physics19662263
– reference: WheelerLPJosiah Willard Gibbs: The History of a Great Mind1951New HavenYale University Press0045.14711
– reference: BerryMRegular and irregular semiclassical wave functionsJ. Phys. A197710208320911977JPhA...10.2083B10.1088/0305-4470/10/12/0160377.70014489542
– reference: GibbsJWThe Scientific Papers of J. Willard Gibbs, Vol. I Thermodynamics; Vol. II Misc1961New YorkDover
– reference: DombCThe Critical Point1996LondonTaylor and Francis
– reference: JessephDMGrattan-GuinnessIThe analystLandmark Writings in Western Mathematics2005AmsterdamElsevier12113010.1016/B978-044450871-3/50089-9
– reference: HinchEJPerturbation Methods1991CambridgeCambridge University Press10.1017/CBO97811391721890746.34001
– reference: NagelEThe Structure of Science1961LondonRoutledge
– reference: StokesGGOn the numerical calculation of a class of definite integrals and infinite seriesTrans. Camb. Philos. Soc.1847IX1166189
– reference: BerryMSemi-classical mechanics in phase space: a study of wigner’s functionPhilos. Trans. R. Soc. A.19772872372711977RSPTA.287..237B10.1098/rsta.1977.01450421.70020
– reference: Widom, B.: J. Chem. Phys. 43, 3892 (1965) (ibid p. 3896)
– reference: RukeyserMWillard Gibbs: American Genius1988WoodbridgeOx Bow Press
– reference: JonesHMutiny on the Amistad: The Saga of a Slave Revolt and Its Impact on American Abolition, Law, and Diplomacy1987New YorkOxford University Press
– reference: GibbsJWElementary Principles in Statistical Mechanics1902New YorkCharles Scribner’s SonsJFM 33.0708.01
– reference: BerryMSingular limitsPhys. Today20025510112002PhT....55E..10B10.1063/1.1485555
– reference: Berry, M.: Asymptotics, singularities and the reduction of theories. In: Prawitz, D., Skyrms, B., Westerstaahl, D. (eds.) Proceedings of the 9th International Congress of Logic, Methodology and Philosophy of Science, pp. 597–607 (1994)
– reference: BerryMRemarks on degeneracies of semiclassical energy levelsJ. Phys. A197710L193L1941977JPhA...10L.193B10.1088/0305-4470/10/11/004
– reference: ChibbaroSRondoniLVulpianiAReductionism, Emergence and Levels of Reality2014BerlinSpringer10.1007/978-3-319-06361-4
– reference: StokesGGOn the discontinuity of arbitrary constants which appear in divergent developmentsTrans. Camb. Philos. Soc.1848X2105128
– reference: BerryMVExuberant interference: rainbows, tides, edges, (de)coherencePhilos. Trans. R. Soc. A2002360102310372002RSPTA.360.1023B10.1098/rsta.2001.09791254.78003
– reference: BattermantRWThe Devil in the Details: Asymptotic Reasoning in Explanation, Reduction and Emergence2002OxfordOxford University Press
– reference: WilbrahamHOn a certain periodic functionCamb. Dublin Math. J.18483198201
– reference: Caldi, D.G., Mostow, D.G. (eds.) Proceedings of the Gibbs Symposium, Yale University, 17–18 May 1989, American Mathematics Society, AIP (1990)
– reference: GibbsJWFourier’s seriesNature1898596061899Natur..59..606G10.1038/059606a0
– reference: GibbsJWFourier’s seriesNature1898592001898Natur..59..200G10.1038/059200b0
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Snippet This note is based upon a talk given at an APS meeting in celebration of the achievements of J. Willard Gibbs. J. Willard Gibbs, the younger, was the first...
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SubjectTerms Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
Thermodynamics
Title Reflections on Gibbs: From Statistical Physics to the Amistad V3.0
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