Birkhoff theorem and ergometer: Relationship by an existence assumption

Acta Physica Polonica B

Volumn 39, Issue 5, 2008, Pages 1035-1042

  Lee, M Howard ^a,b  

^a UNIVERSITY OF GEORGIA   (United States)

^b Korea Institute for Advanced Study   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BIRKHOFF'S THEOREMS; BODY MODELS; BODY THEORIES; ERGODIC;

PHYSICS;

EID: 55249090418     PISSN: 05874254     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (24)

1. G.D. Birkhoff, Proc. Nat. Acad. Sci. (USA) 17, 656 (1931).
2. I.E. Farquhar, Ergodic Theory in Statistical Mechanics, Wiley, New York 1964, see Sec. 3.4 and App. 2.
3. M.H. Lee, Phys. Rev. Lett. 87, 250601 (2001).
4. M.H. Lee, Acta Phys. Pol. B 38, 1837 (2007).
5. M.H. Lee, Phys. Rev. Lett. 98, 110403 (2007).
6. R. Kubo, Rep. Prog. Phys. 29, 255 (1966);
7. H. Nakano, Int. J. Mod. Phys. B7, 239 (1993);
8. for a latest review, see A.L. Kuzemsky, Int. J. Mod. Phys. B19, 1029 (2005).
9. U. Balucani, M.H.Lee, V. Tognetti, Phys. Rep. 373, 409 (2003).
10. M.H. Lee, Phys. Rev. Lett. 98, 190601 (2007);
11. also see T. Prosen, J. Phys. A40, 7881 (2007).
12. R. Morgado, F.A. Oliveira, G.G. Bartolouni, A. Hansen, Phys. Rev. Lett. 89, 100601 (2002);
13. M.H. Vainstein, I.V.L. Costa, R. Morgado, F.A. Oliveira, Europhys. Lett. 73, 726 (2006);
14. J.S.D. Bao, Y.Z. Zhuo, F.A. Oliveira, P. Hangi, Phys. Rev. E74, 061111 (2006).
15. T. Srokowski, Phys. Rev. Lett. 85, 2332 (2000);
16. T. Srokowski, A. Kaminska, Phys. Rev. E70, 05011 (2001).
17. M. Ciesla, L. Longa, Acta Phys. Pol. B 38, 1719 (2007).
18. M.H. Lee, J. Florencio Jr., J. Hong, J. Phys. A22, L331 (1989); note that there are a few typographical errors, which are corrected here in this paper.
19. A.L. Kuzemsky, Int. J. Mod. Phys. 21, 2821 (2007).
20. R.M. Yulmatyev, A.V. Mokshin, P. Hanggi, Phys. Rev. E68, 051201(2003).
21. A.V. Mokshin, R.M. Yulmatyev, P. Hanggi, Phys. Rev. Lett. 95, 200601(2005).
22. See e.g. M. Engel, S. Sonntag, H. Lipp, H.R. Trebin, Phys. Rev. B75, 144203 (2007).
23. Handbook of Mathematical Functions, M. Abramowitz, LA. Stegun eds., Natl. Bur. Stds., Washington DC 1972; see esp. Eq. 11.4.16 on p. 486.
24. M.H. Lee, to be published.