Statistical mechanics of self-driven carnot cycles

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 4, 1999, Pages 3633-3645

  Smith, Eric ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0347746920     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.3633     Document Type: Article

References (17)

1. J. Wheatley, T. Hofler, G. W. Swift, and A. Migliori, J. Acoust. Soc. Am. 71, 153 (1983).
2. G. W. Swift, J. Acoust. Soc. Am. 84, 1145 (1988), for review and references.
3. P. H. Ceperley, J. Acoust. Soc. Am. 66, 1508 (1979).
4. P. H. Ceperley, J. Acoust. Soc. Am. 72, 1688 (1982)
5. J. Acoust. Soc. Am.P. H. Ceperley77, 1239 (1985)
6. J. Acoust. Soc. Am.P. H. Ceperley85, S48 (1989);U. S. Patent No. 4,355,517 (1982).
7. See Ref. 2, Fig. 4. Because the abscissa is energy flux, the driven amplitude may be seen to continue rising with finite slope above onset, while the temperature difference between the exchangers undergoes a cusp from finite to infinitesimal slope. With uniform temperature growth on the abscissa, this plot would show a vertical departure of driven amplitude at the critical point.
8. A. A. Atchley, J. Acoust. Soc. Am. 95, 1661 (1994).
9. A. A. Atchley, H. E. Bass, T. J. Hofler, and H.-T. Lin, J. Acoust. Soc. Am. 91, 734 (1992).
10. E. Smith, Phys. Rev. E 58, 2818 (1998).
11. The universality of Carnot efficiency for reversible cycles is thus explained as arising from a generic finite-temperature symmetry, closely related to the the time-translation symmetry that gives conservation of energy for generic isolated systems.
12. Gerald D. Mahan, Many-Particle Physics (Plenum, New York, 1990), Chap. 3, pp. 133–238.
13. The structure of the partition function follows from general arguments given in Ref. 10. The action may be seen to be that of Eq. (5) in Ref. 8 when (Formula presented), or no thermal phonons have yet been averaged. The form of Eq. (5) is validated by the correct classical gas dynamics following from it.
14. S. Weinberg, Physica A 96, 327 (1979).
15. J. Polchinski, Nucl. Phys. B 231, 269 (1984).
16. S.-K. Ma, Modern Theory of Critical Phenomena (Benjamin/Cummings, London, 1976), p. 67.
17. It is also interesting that the strict (Formula presented) functional (15) is not achievable, as there is no limit with finite Green’s functions at (Formula presented).