A prova teórica de Boltzmann da lei de Dulong-Petit: “Uma perspectiva histórica”

Autores/as

DOI:

https://doi.org/10.55767/2451.6007.v35.n2.43738

Palabras clave:

Termodinâmica, Calor específico, Gases

Resumen

O principal aspecto que abordaremos neste trabalho é a apresentação da lei dos calores específicos por Dulong e Petit, do ponto de vista experimental e teórico, comparando com a publicação da tese de doutorado de Ludwig Boltzmann em 1866. Segundo Cássio C. Laranjeiras, é em sua tese que Boltzmann fará pela primeira vez a demonstração analítica dessa lei. Determinada experimentalmente pelos dois físicos franceses e publicada em 12 de abril de 1819, essa lei pode ser considerada o ponto de partida para mudanças na interpretação da mecânica clássica de Newton. Boltzmann, apoiado no trabalho de Masson sobre o cálculo da velocidade de propagação do som em gases e no conceito de entropia introduzido por Clausius, propõe mudanças fundamentais na interpretação das leis da termodinâmica.

Citas

Aurani, K. M. (1992) La Nature et le le Role des Probabilités dans les Premieres Recherches de Boltzmann sur la 2ème Loi de la Thermodynamique (Les articles de 1866, 1871, 1872 et de 1877). Paris 7.

Benjamin, C. (2007) Dicionário de Biografias Científicas (vol. II). Rio de Janeiro: Contraponto Editora Ltda.

Boltzmann, L. (1968) Wissenschaftliche Abhandlungen von Ludwig Boltzmann. New Yourk: Chelsea Publishing Compa-ny.

Boltzmann, L. (2012) Wissenschaftliche Abhandlungen. Edited by Fritz Hasenöhrl. Cambridge: Cambridge University Press.

Brillouin, M. (1919) ‘Actiom mécaniques à hérédité discontinue par propagation; essai de théorie dynamique de l’atome à quanta’, Comptes Rendus, 168.

Brush, S. G. (1970) ‘The wave theory of heat: A forgotten stage in the transition from the caloric theory to thermody-namics’, The British Journal for the History of Science, 5(2), 145–167. DOI: 10.1017/S0007087400010906.

Centore, F. F. (1970) Robert Hooke’s Contributions to Mechanics a Study in Seventeenth Century Natural Philosophy. Netherlands: Martinus Nijhoff, The Hague. DOI: 10.16309/j.cnki.issn.1007-1776.2003.03.004.

Clausius (1862) XXIX. On the application of the theorem of the equivalence of transformations to the internal work of a mass of matter. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 24(160), 201-213, DOI: 10.1080/14786446208643342

Crawford, A. (1788) Experiments and Observations on Animal Heat, and the Inflammation of Combustible Bodies. Edit-ed by 2 Ed. J. Johnson.

Darrigol, O. (1918) Atoms, Mechanics, and Probability – Ludwig Boltzmann’s, Statistico Mechanical Writings – An Exe-gesis. New York: Oxford University Press.

Debye, P. (1912) ‘Zur Theorie der spezifischen Wärmen’, Annalen der Physik, 344(14), 789–839.

Dugas, R. (1959) La Théorie Physique au Sens de Boltzmann - et ses Prolongugements Modernes. Edited by É. du Grif-fon. Neuchatel.

Dulong, Pierre L. y Petit, A. T. (1819) ‘Sur quelques points importuns de la théorie de la chaleur.’, Annales de Chimie et de Physique, X, 395–413.

Dumas, J. B. (1881) ‘Éloge Historique de Henri-Victor Regnault’, l’Académie des sciences.

Dumas, J. B. (1883) ‘Éloge Historique de Henri-Victor Regnault’, Mém. Acad. Sci., xl, p. xlviii.

Einstein, A. (1906) ‘Die Plancksche Theorie der Strahlung und die Theorie der spezifischen Wärme’, Annalen der Physik, 327(1), 180–190.

Fox, R. (1968) ‘The background to the discovery of dulong and petit’s law’, The British Journal for the History of Science, 4(1), 1–22.

Gibbs, J. W. (1902) Elementary principles in statistical mechanics. Cambridge: University Press – John Wilson and Son.

Gibbs, J. W. (1928) The collected works – Thermodynamics. New York: Green and Co.

Gibbs, J. W. (2012) Scientific Papers of J. Willard Gibbs: Dynamics. Vector Analysis and Multiple Algebra. Eletromagnetic Theory of Light, etc. Memphis: General Books LLCTM.

Gray, J. (2013) Henri Poincaré - A Scientific Biography. New Jersey: Princeton University Press.

Heilbron, J. (1993) Weighing Imponderables and other Quantitative Science around 1800. California: University Cali-fornia Press.

Jed Z. Buchwald, R. F. (2013) The Oxford Handbook of the History of Physics. Edited by R. F. Jed Z. Buchwald. Oxford: Oxford University Press. DOI: 10.16309/j.cnki.issn.1007-1776.2003.03.004.

Johnson, E. (1918) Anxiety and the Equation - Understending Boltzmann’s Entropy. Cambridge: The Mit Press.

Khun, T. S. (1978) ‘Black Body Theory and the Quantum Discontinuity, 1894-1912’. Chicago&London: Oxford Universi-ty Press.

Klein, M. (2014) ‘Gibbs on Clausius’, Historical Studies in the Physical Sciences, 1(1969), 127–149.

L. Boltzmann (1884) ‘Ueber das Arbeitsquantum, welches bei chemischen Verbindungen gewonnen Ueber eine von Hrn. Bartoli entdeckte Beziehung der Wärmestrahlung zum zweiten Hauptsatze’, Annalen der Physik, 258(5), 31–39.

Laing, Mary y Laing, Michael (2006) ‘Dulong and Petit’s law: We should not ignore its importance’, Journal of Chemical Education, 83(10), 1499–1504.

Laranjeiras, C. C. (2002) O programa de pesquisa de Ludwig Boltzmann para a mecânica estatística : uma reconstrução racional. USP - Universidade de São Paulo.

Leff, H. S. (1996) ‘Thermodynamic entropy: The spreading and sharing of energy’, American Journal of Physics, 64(10), 1261–1271.

Lewis, G. N. (1907) ‘The Specific Heat of Solids at Constant Volume, and the Law of Dulong and Petit’, Contributtion from the Research Laboratory of Physical Chemistry of the Massachusetts Institute of Technology, 364(1899).

Lindley, D. (2001) Boltzmann’s Atom - The Great Debate that Launched a Revolution in Physics. New York: Free Press.

Loschmidt, J. (1865) ‘Beiträge zur Kenntniss der Krystallformen organischer Verbindungen (II)’, Kais. Akad. Wiss. Wien, 52.

Martins, R. A. y Rosa, P. S. (2014) História da teoria quântica - a dualidade onda-partícula, de Einstein a De Broglie. São Paulo: Livraria da Física.

Melloni, M. (1836) ‘Mémoire sur la Polarisation de la Chaleur’, Annales de Chimie et de Physique, 61, 374–410.

Moore, W. M. (1984) ‘The adiabatic expansion of gases and the determination of heat capacity ratios: A physical chemistry experiment’, Journal of Chemical Education, 61(12), 1119–1120. DOI: 10.1021/ed061p1119.

Nye, M. J. (1976) ‘The nineteenth-century atomic debates and the dilemma of an “indifferent hypothesis”’, Studies in History and Philosophy of Science, 7(3), 245–268.

Pellegrino, E. M., Ghibaudi, E. y Cerruti, L. (2015) ‘Clausius’ disgregation: A conceptual relic that sheds light on the second law’, Entropy, 17(7), 4500–4518.

Poincaré, H. (1912) ‘Sur la théorie des quanta’, Journal de Physique Théorique et Appliquée, 2(1), 5–34.

Rosa, P. S. (2019). Fundamentação Termodinâmica da Teoria Quântica: Subsídios Históricos, de Boltzmann a Poincaré, e Computacionais para o Ensino de Ciências. Teses e Dissertações; T/UNESP R695f 4.102, Thesis. Available at: https://unesp.primo.exlibrisgroup.com/permalink/55UNESP_INST/1lh66mb/alma990009282560206341

Rosa, P. S. y Martins, R. de A. (2004) ‘Louis de Broglie e as ondas de matéria’, Thesis. Available at: http://www.ghtc.usp.br/server/Teses/Pedro-Sergio-Rosa.pdf.

Schmitz, F. (2019) O Círculo de Viena. Rio de Janeiro: Contraponto Editora Ltda.

West, J. B. (2005) ‘Robert Boyle’s landmark book of 1660 with the first experiments on rarified air’, Journal of Applied Physiology, 98(1), 31–39

Publicado

2023-12-19

Cómo citar

Rosa, P. S., & Souza, A. R. de. (2023). A prova teórica de Boltzmann da lei de Dulong-Petit: “Uma perspectiva histórica”. Revista De Enseñanza De La Física, 35(2), 259–274. https://doi.org/10.55767/2451.6007.v35.n2.43738

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Ensayos y Temas Especiales