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2012 | 10 | 3 | 708-714
Tytuł artykułu

Prior probabilities and thermal characteristics of heat engines

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The thermal characteristics of a heat cycle are studied from a Bayesian approach. In this approach, we assign a certain prior probability distribution to an uncertain parameter of the system. Based on that prior, we study the expected behaviour of the system and it has been found that even in the absence of complete information, we obtain thermodynamic-like behaviour of the system. Two models of heat cycles, the quantum Otto cycle and the classical Otto cycle are studied from this perspective. Various expressions for thermal efficiences can be obtained with a generalised prior of the form Π(x) ∝ 1/x b. The predicted thermodynamic behaviour suggests a connection between prior information about the system and thermodynamic features of the system.
Wydawca

Czasopismo
Rocznik
Tom
10
Numer
3
Strony
708-714
Opis fizyczny
Daty
wydano
2012-06-01
online
2012-06-17
Twórcy
autor
  • Indian Institute of Science Education and Research (IISER) Mohali, Knowledge City, Sector 81, Manauli P.O., Mohali, 140306, Punjab, India
  • Indian Institute of Science Education and Research (IISER) Mohali, Knowledge City, Sector 81, Manauli P.O., Mohali, 140306, Punjab, India, rsjohal@iisermohali.ac.in
Bibliografia
  • [1] H. S. Leff, A. F. Rex, Maxwell’s Demon: Entropy, Information, Computing (Princeton University Press, Princeton, NJ, 1990)
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  • [3] V. Dose, Rep. Prog. Phys. 66, 1421 (2003) http://dx.doi.org/10.1088/0034-4885/66/9/202[Crossref]
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  • [5] E. T. Jaynes, Probability Theory: The Logic of Science (Cambridge University Press, Cambridge, 2003) http://dx.doi.org/10.1017/CBO9780511790423[Crossref]
  • [6] H. Jeffreys, Theory of Probability (Clarendon Press, Oxford, 1939)
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  • [8] F. Curzon, B. Ahlborn, Am. J. Phys. 43, 22 (1975) http://dx.doi.org/10.1119/1.10023[Crossref]
  • [9] H. S. Leff, Am. J. Phys. 55, 701 (1987) http://dx.doi.org/10.1119/1.15060[Crossref]
  • [10] M. J. Ondrechen, B. Andresen, M. Mozurkewich, R. S. Berry, Am. J. Phys. 49, 681 (1981) http://dx.doi.org/10.1119/1.12426[Crossref]
  • [11] P. T. Landsberg, H. S. Leff, J. Phys. A: Math. Gen. 22, 4019 (1989) http://dx.doi.org/10.1088/0305-4470/22/18/034[Crossref]
  • [12] C. Van den Broeck, Phys. Rev. Lett. 95, 190602 (2005) http://dx.doi.org/10.1103/PhysRevLett.95.190602[Crossref]
  • [13] M. Esposito, K. Lindenberg, C. Van den Broeck, Phys. Rev. Lett. 102, 130602 (2009) http://dx.doi.org/10.1103/PhysRevLett.102.130602[Crossref]
  • [14] R. S. Johal, Phys. Rev. E 82, 061113 (2010) http://dx.doi.org/10.1103/PhysRevE.82.061113[Crossref]
  • [15] T. D. Kieu, Phys. Rev. Lett. 93, 140403 (2004) http://dx.doi.org/10.1103/PhysRevLett.93.140403[Crossref]
  • [16] H. Jeffreys, Scientific Inference (Cambridge University Press, Cambridge, 1957)
  • [17] G. Thomas, R.S. Johal, Phys. Rev. E (in press) (2012)
  • [18] E. T. Jaynes, IEEE Trans. Sys. Sc. Cyber., 4, 227 (1968) http://dx.doi.org/10.1109/TSSC.1968.300117[Crossref]
  • [19] R. S. Johal, Phys. Rev. E 80, 041119 (2009) http://dx.doi.org/10.1103/PhysRevE.80.041119[Crossref]
  • [20] H. S. Leff, Am. J. Phys. 55, 602 (1987) http://dx.doi.org/10.1119/1.15071[Crossref]
  • [21] H. B. Callen, Thermodynamics and An Introduction to Thermostatistics (Wiley, New York)
  • [22] M. Esposito et. al., Phys. Rev. Lett. 105, 150603 (2010) http://dx.doi.org/10.1103/PhysRevLett.105.150603[Crossref]
  • [23] A. E. Allahverdyan, R. S. Johal, G. Mahler, Phys. Rev. E 77, 041118 (2008) http://dx.doi.org/10.1103/PhysRevE.77.041118[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-012-0042-y
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