Logarithmic oscillators: Ideal hamiltonian thermostats

Physical Review Letters

Volumn 108, Issue 25, 2012, Pages

  Campisi, Michele ^a   Zhan, Fei ^a   Talkner, Peter ^a   Hänggi, Peter ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COLD ATOMS; ENSEMBLE AVERAGES; GIBBS DISTRIBUTION; LOGARITHMIC POTENTIALS; REAL WORLD EXPERIMENT; TIME AVERAGES;

EQUATIONS OF MOTION; THERMAL LOGGING; THERMOSTATS;

HAMILTONIANS;

EID: 84862511759     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.108.250601     Document Type: Article

References (29)

1. R. Klages, Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics, Adv. Ser. Nonl. Dyn. Vol. 24 (World Scientific, Singapore, 2007), cf. Part.
2. D.L. Ermak and H. Buckholz, J. Comput. Phys. 35, 169 (1980). JCTPAH 0021-9991 10.1016/0021-9991(80)90084-4
3. H.C. Andersen, J. Chem. Phys. 72, 2384 (1980). JCPSA6 0021-9606 10.1063/1.439486
4. S. Nosé, J. Chem. Phys. 81, 511 (1984). JCPSA6 0021-9606 10.1063/1.447334
5. W.G. Hoover, Phys. Rev. A 31, 1695 (1985). PLRAAN 1050-2947 10.1103/PhysRevA.31.1695
6. G.J. Martyna, M.L. Klein, and M. Tuckerman, J. Chem. Phys. 97, 2635 (1992). JCPSA6 0021-9606 10.1063/1.463940
7. R. Mack, J.P. Dahl, H. Moya-Cessa, W.T. Strunz, R. Walser, and W.P. Schleich, Phys. Rev. A 82, 032119 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.82. 032119
8. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. 80, 885 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.885
9. M. Schmidt, R. Kusche, T. Hippler, J. Donges, W. Kronmüller, B. von Issendorff, and H. Haberland, Phys. Rev. Lett. 86, 1191 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.1191 (Pubitemid 32188353)
10. F. Gobet, B. Farizon, M. Farizon, M.J. Gaillard, J.P. Buchet, M. Carré, P. Scheier, and T.D. Märk, Phys. Rev. Lett. 89, 183403 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.183403
11. D. Kusnezov, A. Bulgac, and W. Bauer, Ann. Phys. (N.Y.) 204, 155 (1990), p. 160, below Eq. (12). APNYA6 0003-4916 10.1016/0003-4916(90)90124-7
12. C.P. Dettmann and G.P. Morriss, Phys. Rev. E PLEEE8 1063-651X 55, 3693 (1997). 10.1103/PhysRevE.55.3693
13. W.G. Hoover, arXiv:1204.0312v2.
14. M. Campisi, F. Zhan, P. Talkner, and P. Hänggi, arXiv:1204.4412v1.
15. W.G. Hoover and C.G. Hoover, Time Reversibility, Computer Simulation, and Chaos (World Scientific, Singapore, 2012).
16. A. Khinchin, Mathematical Foundations of Statistical Mechanics (Dover, New York, 1949).
17. E. Hairer, C. Lubich, and G. Wanner, Geometric Numerical Integration, Springer Series in Computational Mathematics Vol. 31 (Springer, New York, 2006), 2nd ed.
18. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965), relation 6.5.32.
19. A.E. Cohen, Phys. Rev. Lett. 94, 118102 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.118102 (Pubitemid 40607142)
20. C. Stoica and A. Font, J. Phys. A JPHAC5 0305-4470 36, 7693 (2003). 10.1088/0305-4470/36/28/302
21. L. Onsager, Nuovo Cimento Suppl. NUCUAF 0550-3868 6, 279 (1949). 10.1007/BF02780991
22. E. Levine, D. Mukamel, and G.M. Schütz, Europhys. Lett. 70, 565 (2005). EULEEJ 0295-5075 10.1209/epl/i2005-10026-2 (Pubitemid 40758640)
23. A. Dechant, E. Lutz, E. Barkai, and D. Kessler, J. Stat. Phys. 145, 1524 (2011). JSTPSB 0022-4715 10.1007/s10955-011-0363-z
24. A. Dechant, E. Lutz, D.A. Kessler, and E. Barkai, Phys. Rev. Lett. 107, 240603 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.240603
25. O. Hirschberg, D. Mukamel, and G.M. Schütz, Phys. Rev. E PLEEE8 1539-3755 84, 041111 (2011). 10.1103/PhysRevE.84.041111
26. O. Hirschberg, D. Mukamel, and G.M. Schütz, J. Stat. Mech. 1742-5468 (2012) P02001. 10.1088/1742-5468/2012/02/P02001
27. M. Campisi, P. Hänggi, and P. Talkner, Rev. Mod. Phys. 83, 771 (2011); RMPHAT 0034-6861 10.1103/RevModPhys.83.771
28. M. Campisi P. Hänggi P. Talkner Rev. Mod. Phys. 83, 1653(E) (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.1653
29. M. Campisi, P. Talkner, and P. Hänggi, Phys. Rev. Lett. 102, 210401 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.210401