Fetching the paper…
Reading the bibliography…
On the basis of new, concise foundations, this paper establishes the four laws of thermodynamics, the Maxwell relations, and the stability requirements for response functions, in a form applicable to global (homogeneous), local (hydrodynamic) and microlocal (kinetic) equilibrium.
W. Nernst, Über die Berechnung chemischer Gleichgewichte aus thermischen Messungen, Nachr. Kgl. Ges. d. Wiss. Göttingen 6 (1906), 1–40
1906
Earlier work this paper cites.
Bonhoeffer and P. Harteck, Para- and ortho hydrogen, Z. Physikalische Chemie B 4 (1929), 113–141
1929
Earlier work this paper cites.
J.P. Joule, On the calorific effects of magneto-electricity, and on the mechanical value of heat, Philos. Mag. London (ser. 4) 23 (1843), 435–443. reprinted in: J.R. Mayer, J. P. Joule, S. Carnot, The discovery of the law of conservation of energy, Isis 13 (1929), 18–44
1929
Earlier work this paper cites.
J.R. Mayer, Bemerkungen ”uber die Kr”afte der unbelebten Natur, Ann. Chem. Pharmacie 42 91842), 233-240. Engl. translation in: J.R. Mayer, J. P. Joule, S. Carnot, The discovery of the law of conservation of energy, Isis 13 (1929), 18–44
1929
Earlier work this paper cites.
A. Farkas, Orthohydrogen, Parahydrogen and Heavy Hydrogen. Cambridge Univ. Press, London 1935
1935
Earlier work this paper cites.
P. Franklin, Derivatives of higher order as single limits, Bull. Amer. Math. Soc. 41 (1935), 573–582
1935
Earlier work this paper cites.
R.E. Peierls, On a minimum property of the free energy, Phys. Rev. 54 (1938), 918–919
1938
Earlier work this paper cites.
A.D. Aleksandrov, Almost everywhere existence of the second differential of a convex function and some properties of convex surfaces connected with it (in Russian), Leningrad State Univ. Ann. Math. Ser. 6 (1939), 3–35
1939
Earlier work this paper cites.
F.P. Bowden and L. Leben, The nature of sliding and the analysis of friction, Proc Royal Society London. Series A 169 (1939), 371–391
1939
Earlier work this paper cites.
R.H. Fowler and E.A. Guggenheim, Statistical thermodynamics Cambridge Univ. Press, Cambridge 1939
1939
Earlier work this paper cites.
I.M. Gelfand and M.A. Naimark, On the imbedding of normed rings into the ring of operators in Hilbert spaces (in Russian), Mat Sbornik 12 (1943), 197–213
1943
Earlier work this paper cites.
E. L. Hahn, Spin echoes, Phys. Rev. 80 (1950), 580–594
1950
Earlier work this paper cites.
D. Roller, The early developmewnt of the concepts of temperature and heat, Harvard Univ. Press Cambridge, Mass., 1950
1950
Earlier work this paper cites.
G.C. Wick, The Evaluation of the Collision Matrix, Phys. Rev. 80 (1950), 268–272
1950
Earlier work this paper cites.
E.M. Purcell and R.V. Pound, A nuclear spin system at negative temperature, Phys. Rev. 81 (1951), 279–280
1951
Earlier work this paper cites.
C.N. Yang and T.D. Lee, Statistical Theory of Equations of State and Phase Transitions I. Theory of Condensation, Phys. Rev. 87 (1952), 404–409
1952
Earlier work this paper cites.
E. L. Hahn, Free nuclear induction, Physics Today 6 (1953), 4–9
1953
Earlier work this paper cites.
T.S. Kuhn, Carnot’s version of “Carnot’s cycle”, Amer. J. Phys. 23 (1955), 91–95
1955
Earlier work this paper cites.
T.S. Kuhn, La Mer’s version of “Carnot’s cycle”, Amer. J. Phys. 23 (1955), 387–389
1955
Earlier work this paper cites.
W.F. Stinespring, Positive Functions on C ∗ C^{*} -Algebras, Proc. Amer. Math. Soc. 6 (1955), 211-216
1955
Earlier work this paper cites.
D. ter Haar, Foundations of statistical mechanics, Rev. Mod. Phys 27 (1955), 289–338
1955
Earlier work this paper cites.
N.N. Bogoliubov, On a variational principle in the problem of many bodies (in Russian), Dokl. Akad. Nauk SSSR 119 (1958), 244–246. See also J. Kvasnikov, On the application of a variational principle to the Ising model of ferromagnetism (in Russian), Dokl. Akad. Nauk SSSR 110 (1956), 755–757
1956
Earlier work this paper cites.
A. Kolmogorov, Foundations of the Theory of Probability, 2nd English ed., Chelsea, New York 1956
1956
Earlier work this paper cites.
E.T. Jaynes, Information Theory and Statistical Mechanics, Phys. Rev. 106 (1957), 620–630
1957
Earlier work this paper cites.
E.T. Jaynes, Information Theory and Statistical Mechanics II, Phys. Rev. 108 (1957), 171–190
1957
Earlier work this paper cites.
R. Kubo, Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems, J. Phys. Soc. Japan 12 (1957) 570–586
1957
Earlier work this paper cites.
J.L. Lebowitz and H.L. Frisch, Model of Nonequilibrium Ensemble: Knudsen Gas, Phys. Rev. 107 (1957), 917–923
1957
Earlier work this paper cites.
W. of Ockham, Philosophical Writings (P. Boehner, ed.), Nelson, Edinburgh 1957
1957
Earlier work this paper cites.
J. Rothstein, Nuclear Spin Echo Experiments and the Foundations of Statistical Mechanics, Amer. J. Physics 25 (1957), 510–518
1957
Earlier work this paper cites.
E.T. Jaynes, Probability Theory in Science and Engineering. Socony Mobil Oil Co., Dallas 1958
1958
Earlier work this paper cites.
J.M. Blatt, An Alternative Approach to the Ergodic Problem, Prog. Theor. Phys. 22 (1959), 745–756
1959
Earlier work this paper cites.
P.C. Martin and J. Schwinger, Theory of Many-Particle Systems. I Phys. Rev. 115 (1959), 1342–1373
1959
Earlier work this paper cites.
E. Clapeyron, Mémoire sur la puissance motrice de la chaleur. J. l’Ecole Polytechnique 14 (1834), 153–190. Engl. translation pp. 71–105 in: Reflections on the Motive Power of Fire and Other Papers on the Second Law of Thermodynamics (E. Mendoza. ed.), Dover, New York 1960
1960
Earlier work this paper cites.
J.W. Gibbs, Elementary Principles in Statistical Mechanics. Yale Univ. Press, New Haven 1902. (Reprinted, Dover 1960.)
1960
Earlier work this paper cites.
H. Grad, The many faces of entropy, Comm. Pure Appl. Math. 14 (1961), 323–354
1961
Earlier work this paper cites.
L. Brillouin, Science and Information Theory. 2nd ed., Acad. Press, New York 1962
1962
Earlier work this paper cites.
R. Kubo, Generalized cumulant expansion method, J. Phys. Soc. Japan 17 (1962) 1100–1120
1962
Earlier work this paper cites.
R.B. Griffiths, A proof that the free energy of a spin sytem is extensive, J. Math. Phys 5 (1964), 1215–1222
1964
Earlier work this paper cites.
H. Mori, Transport, collective motion, and Brownian motion, Prog Theor Phys 33 (1965), 423–455
1965
Earlier work this paper cites.
B. Robertson, Equations of motion in nonequilibrium statistical mechanics, Phys. Rev. 144 (1966), 151–161
1966
Earlier work this paper cites.
A. Katz, Principles of statistical mechanics. The information theory approach, Freeman, San Francisco 1967
1967
Earlier work this paper cites.
H. Renon and J.M. Prausnitz, Local Compositions in Thermodynamic Excess Functions for Liquid Mixtures, AIChE J.14 (1968), 135–144
1968
Earlier work this paper cites.
F.T. Smith, Diabatic and adiabatic representations for atomic collision problems, Phys. Rev. 179 (1969), 111–123
1969
Earlier work this paper cites.
L. E. Ballentine, The Statistical Interpretation of Quantum Mechanics, Rev. Mod. Phys. 42 (1970), 358–381
1970
Cited alongside, same era.
H.P. Stapp, The Copenhagen interpretation, Amer. J. Phys. 40 (1972), 1098–1116
1972
Cited alongside, same era.
B.L. Karger, L.R. Snyder and C. Horvath, An Introduction to Separation Science, Wiley 1973
1973
Cited alongside, same era.
N.V. Karlov, Laser-induced chemical reactions, Applied Optics 13 (1974), 301–309
1974
Cited alongside, same era.
D. Montgomery and G. Joyce, Statistical mechanics of “negative temperature” states, Phys. Fluids 17 (1974), 1139–1145
1974
Cited alongside, same era.
D. Forster, Hydrodynamic fluctuations, broken symmetry, and correlation functions, Benjamin, Reading, Mass., 1975
R.I. Masel, Principles of Adsorption and Reaction on Solid Surfaces, Wiley, New York 1996
1996
Later among the works it cites.
J. Rau and B. Müller, From reversible quantum microdynamics to irreversible quantum transport, Physics Rep. 272 (1996), 1–59
1996
Later among the works it cites.
R.T. Rockafellar, Convex Analysis, Princeton University Press, Princeton 1996
1996
Later among the works it cites.
D.R. Yarkony, Diabolic conical intersections, Rev. Mod. Phys. 68 (1996), 985–1013
1996
Later among the works it cites.
R. Battino, L.E. Strong, and S.E. Wood, A Brief History of Thermodynamics Notation, J. Chem. Education 74 (1997), 304–305
1997
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1975
Cited alongside, same era.
C. Carathéodory, Untersuchungen über die Grundlagen der Thermodynamik, Mathematische Annalen 67 (1909), 355–386. A (somewhat inaccurate) English translation, ”Investigation into the foundations of thermodynamics”, can be found in pp. 229–256 of: The second law of thermodynamics (J. Kestin, ed.), Dowden, Hutchinson and Ross, Stroudsburg, PA, 1976
1976
Cited alongside, same era.
R. Clausius, Über verschiedene für die Anwendung bequeme Formen der Hauptgleichungen der mechanischen Wärmetheorie, Pogg. Ann. 125 (1865), 353–400. English translation pp. 162–193 in: The Second Law of Thermodynamics (J. Kestin, ed.), Dowden, Hutchinson and Ross, Stroudsburg 1976
1976
Cited alongside, same era.
E.B. Davies, Quantum theory of open systems, Acad. Press, London 1976
1976
Cited alongside, same era.
V. Gorini, A. Kossakowski, E.C.G. Sudarshan, Completely positive dynamical semigroups of N N -level systems, J. Math. Phys. 17 (1976), 821–825
1976
Cited alongside, same era.
G. Lindblad, On the generators of quantum dynamical semigroups, Commun. Math. Phys. 48 (1976), 119–130
1976
Cited alongside, same era.
Y. Alhassid and R. D. Levine, Connection between the maximal entropy and the scattering theoretic analyses of collision processes, Phys. Rev. A 18 (1978), 89–116
1978
Cited alongside, same era.
1998
Later among the works it cites.
L.E. Reichl, A Modern Course in Statistical Physics, 2nd. ed., Wiley, New York 1998
1998
Later among the works it cites.
T.M. Ridderbos and M.L.G. Redhead, The Spin-Echo Experiments and the Second Law of Thermodynamics, Foundations of Physics 28 (1998), 1237-1270
1998
Later among the works it cites.
R. Balian, Incomplete descriptions and relevant entropies Amer. J. Phys. 67 (1999), 1078–1090
1999
Later among the works it cites.
S.A. Hassan, A.R. Vasconcellos and R. Luzzi, The informational-statistical-entropy operator in a nonequilibrium ensemble formalism, Physica A 262 (1999), 359–375
1999
Later among the works it cites.
E.H. Lieb and J. Yngvason, The physics and mathematics of the second law of thermodynamics, Physics Report 310 (1999), 1–96
1999
Later among the works it cites.
I. Müller and T. Ruggeri, Rational Extended Thermodynamics, Springer Tracts in Natural Philosophy vol. 37, Springer, New York 1999
1999
Later among the works it cites.
J.M. Prausnitz, R.N. Lichtenthaler and E. Gomes de Azevedo, Molecular thermodynamics of fluid-phase equilibria, Prentice Hall, Upper Saddle River 1999
1999
Later among the works it cites.
R.T. Rockafellar, Second-order convex analysis, J. Nonlinear Convex Anal. 1 (1999) 1–16
1999
Later among the works it cites.
R.A. Alberty, Use of Legendre transforms in chemical thermodynamics (IUPAC Technical Report), Pure Appl. Chem. 73 (2001), 1349–1380
2001
Later among the works it cites.
G.G. Emch and C. Liu, The Logic of thermostatistical physics, Springer, Berlin 2001
2001
Later among the works it cites.
W.T. Grandy, Jr., Some issues in thermodynamics, Manuscript, 2001. http://w3.uwyo.edu/~wtg/Issues/IssuesContents.html
2001
Later among the works it cites.
D.H.E. Gross, Phase Transitions in ”Small” Systems – A Challenge for Thermodynamics, Nucl. Phys. A 681 (2001), 366–373
2001
Later among the works it cites.
D. Wallace, Implications of Quantum Theory in the Foundations of Statistical Mechanics, Pittsburgh Phil. Sci. Archive, 2001. http://philsci-archive.pitt.edu/archive/00000410
2001
Later among the works it cites.
J. Berges, N. Tetradis and C. Wetterich, Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics, Phys. Rep. 363 (2002), 223–386. hep-ph/0005122
2002
Later among the works it cites.
P. Ehrenfest and T. Ehrenfest, Begriffliche Grundlagen der statistischen Auffassung in der Mechanik, Enzykl. Math. Wiss. IV 2.II, Teubner, Leipzig 1911. (Engl. transl: The Conceptual Foundations of the Statistical Approach in Mechanics, Dover Reprints, 2002.)
2002
Later among the works it cites.
F.L. Lambert, Disorder – a cracked crutch for supporting entropy discussions, J. Chem. Education 79 (2002), 187–192
2002
Later among the works it cites.
A. Aartinez, An introduction to semiclassical and microlocal analysis, Springer, New York 2002
2002
Later among the works it cites.
K. Ridderbos, The coarse-graining approach to statistical mechanics: how blissful is our ignorance? Studies in History and Philosophy of Modern Physics 33 (2002), 65–77
2002
Later among the works it cites.
C.-Y. Tseng and A. Caticha, Yet another resolution of the Gibbs paradox: an information theory approach, pp. 331–339 in: Bayesian Inference and maximum entropy methods in science and engineering (R.L. Fry, ed.), AIP Conf. Proc. Vol. 617, 2002
2002
Later among the works it cites.
O.E Barndorff-Nielsen, R.D. Gill and P.E. Jupp, On quantum statistical inference, J. Roy. Statist. Soc. B 65 (2003), 1–31. quant-ph/0307191
2003
Later among the works it cites.
W.B. Jensen, The Universal Gas Constant R, Chem. Education Today 80 (2003), 731–732
2003
Later among the works it cites.
A. Neumaier, Ensembles and experiments in classical and quantum physics, Int. J. Mod. Phys. B 17 (2003), 2937–2980. quant-ph/0303047
2003
Later among the works it cites.
W.H. Zurek, Decoherence, einselection, and the quantum origins of the classical, Rev. Mod. Phys. 75 (2003), 715–775
2003
Later among the works it cites.
J. Berges, Introduction to nonequilibrium quantum field theory, AIP Conf. Proc. 739 (2004), 3–62. hep-ph/0409233
2004
Later among the works it cites.
O. Civitarese, P.O. Hess and J.G. Hirsch, Low temperature S-shaped heat capacities in finite nuclei, Rev. Mex. Fís. 50 (2004), 406–411
2004
Later among the works it cites.
A. Peres and D.R. Terno, Quantum information and relativity theory, Rev. Mod. Phys. 76 (2004), 93–123
2004
Later among the works it cites.
R. Balian, Information in statistical physics, Studies in History and Philosophy of Modern Physics 36 (2005), 323–353. cond-mat/0501322
2005
Later among the works it cites.
C. Bustamente, J. Liphardt and F. Ritort, The nonequilibrium thermodynamics of small systems, Physics Today 58 (2005), 43–48. cond-mat/0511629
2005
Later among the works it cites.
H.C. Oettinger, Beyond Equilibrium Thermodynamics, Wiley, Hoboken 2005
2005
Later among the works it cites.
J. Polonyi and K. Sailer, Renormalization group in internal space, Phys. Rev. D 71 (2005), 025010
2005
Later among the works it cites.
A.E. Allahverdyan and T.M. Nieuwenhuizen, Explanation of the Gibbs paradox within the framework of quantum thermodynamics, Phys. Rev. E 73 (2006), 066119
2006
Later among the works it cites.
O. Penrose, Foundations of statistical mechanics, Rep. Prog. Phys. 42 (1979), 1937–2006
2006
Later among the works it cites.
J. Uffink, Compendium of the foundations of classical statistical physics, Philosophy of Science Archive, 2006. http://philsci-archive.pitt.edu/archive/00002691/01/UffinkFinal.pdf
2006
Later among the works it cites.
R. Balian, From Microphysics to Macrophysics: Methods and Applications of Statistical Physics, Vol. II, Springer, Berlin 2007
2007
Closest in time.
A. Neumaier, The dynamics of thermal states, in preparation (2007)
2007
Closest in time.
A. Neumaier, The thermal interpretation of quantum mechanics, in preparation (2007)
2007
Closest in time.
J. Casas-Vásquez and D. Jou, Temperature in non-equilibrium states: a review of open problems and current proposals, Rep. Prog. Phys. 66 (2003), 1937–2023
2023
Closest in time.