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Number of results

Journal

2012 | 10 | 3 | 708-714

Article title

Prior probabilities and thermal characteristics of heat engines

Content

Title variants

Languages of publication

EN

Abstracts

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.

Publisher

Journal

Year

Volume

10

Issue

3

Pages

708-714

Physical description

Dates

published
1 - 6 - 2012
online
17 - 6 - 2012

Contributors

author
  • 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

References

  • [1] H. S. Leff, A. F. Rex, Maxwell’s Demon: Entropy, Information, Computing (Princeton University Press, Princeton, NJ, 1990)
  • [2] H. S. Leff, A. F. Rex, Maxwell’s Demon 2: Entropy, Classical and Quantum Information, Computing (Institute of Physics, Bristol, 2003)
  • [3] V. Dose, Rep. Prog. Phys. 66, 1421 (2003) http://dx.doi.org/10.1088/0034-4885/66/9/202[Crossref]
  • [4] C. P. Robert, The Bayesian Choice: From Decision-Theoretic Foundations to Computational Implementation (Springer, 2007)
  • [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)
  • [7] R. E. Kass, Larry Wasserman, J. Am. Stat. Assoc. 91, 435 (1996) http://dx.doi.org/10.1080/01621459.1996.10477003[Crossref]
  • [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]

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-012-0042-y
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