Equilibrium states of a test particle coupled to finite-size heat baths

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 79, Issue 3, 2009, Pages

  Wei, Qun ^a   Smith, S Taylor ^a   Onofrio, Roberto ^a,b,c  

^a Dartmouth College   (United States)

^b UNIVERSITY OF PADOVA   (Italy)

^c INFM   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN; COLD DAMPING; COOLING TECHNIQUES; EQUILIBRIUM STATE; FINITE SIZES; FREQUENCY SHIFTS; HEAT BATHS; HIGH FREQUENCIES; MECHANICAL SYSTEMS; NANOMECHANICAL RESONATORS; NUMERICAL SIMULATIONS; SINGLE BATHS; SPECTRAL PROPERTIES; TEST PARTICLES; THERMALIZATION;

FREQUENCY RESPONSE; KINETIC THEORY;

TESTING;

EID: 65449119218     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.031128     Document Type: Article

References (49)

1. A. Einstein, Ann. Phys. 19, 289 (1906). 10.1002/andp.19063240204
2. A. Einstein, Ann. Phys. 19, 371 (1906). 10.1002/andp.19063240208
3. L. S. Ornstein, H. C. Burger, J. Taylor, and W. Clarkson, Proc. R. Soc. London 115, 391 (1927). 10.1098/rspa.1927.0099
4. A. O. Caldeira and A. J. Leggett, Phys. Rev. Lett. 46, 211 (1981). 10.1103/PhysRevLett.46.211
5. A. O. Caldeira and A. J. Leggett, Ann. Phys. 149, 374 (1983). 10.1016/0003-4916(83)90202-6
6. A. Naik, O. Buu, M. D. LaHaye, A. D. Armour, A. A. Clerk, M. P. Blencowe, and K. C. Schwab, Nature (London) 443, 193 (2006). 10.1038/nature05027
7. H. Hirakawa, S. Hiramatsu, and Y. Ogawa, Phys. Lett. 63A, 199 (1977). 10.1016/0375-9601(77)90873-8
8. S. T. Smith and R. Onofrio, Eur. Phys. J. B 61, 271 (2008). 10.1140/epjb/e2008-00070-8
9. C. Kipnis, C. Marchioro, and E. Presutti, J. Stat. Phys. 27, 65 (1982). 10.1007/BF01011740
10. P. Hänggi, in Stochastic Dynamics, edited by, L. Schimansky Geier, and, T. Pöschel, Lecture Notes in Physics Vol. 484 (Springer-Verlag, Berlin, 1997), pp. 15-22.
11. H. Kohler and F. Sols, Phys. Rev. B 72, 180404 (R) (2005). 10.1103/PhysRevB.72.180404
12. S. Trimper, Phys. Rev. E 74, 051121 (2006). 10.1103/PhysRevE.74.051121
13. H. Kohler and F. Sols, New J. Phys. 8, 149 (2006). 10.1088/1367-2630/8/8/ 149
14. P. Visco, J. Stat. Mech.: Theory Exp. (2006) P06006. 10.1088/1742-5468/ 2006/06/P06006
15. L. Bertini, A. Del Sole, D. Gabrielli, G. Jona-Lasinio, and C. Ladim, J. Stat. Mech.: Theory Exp. (2007) P07014. 10.1088/1742-5468/2007/07/P07014
16. G. W. Ford, M. Kac, and P. Mazur, J. Math. Phys. 6, 504 (1965). 10.1063/1.1704304
17. G. W. Ford and M. Kac, J. Stat. Phys. 46, 803 (1987). 10.1007/BF01011142
18. V. Hakim and V. Ambegaokar, Phys. Rev. A 32, 423 (1985). 10.1103/PhysRevA.32.423
19. M. Patriarca, Nuovo Cimento Soc. Ital. Fis., B 111, 61 (1996). 10.1007/BF02726201
20. B. L. Hu, J. P. Paz, and Y. Zhang, Phys. Rev. D 47, 1576 (1993). 10.1103/PhysRevD.47.1576
21. H. Mori, Prog. Theor. Phys. 33, 423 (1965). 10.1143/PTP.33.423
22. R. Kubo, Rep. Prog. Phys. 29, 255 (1966). 10.1088/0034-4885/29/1/306
23. C. Presilla, R. Onofrio, and M. Patriarca, J. Phys. A 30, 7385 (1997). 10.1088/0305-4470/30/21/014
24. A. Carcaterra, Mech. Syst. Signal Process. 16, 905 (2002). 10.1006/mssp.2002.1486
25. A. Carcaterra, J. Sound Vib. 288, 751 (2005). 10.1016/j.jsv.2005.07.015
26. A. Carcaterra and A. Akay, J. Acoust. Soc. Am. 115, 683 (2004). 10.1121/1.1642619
27. C. E. Celik and A. Akay, J. Acoust. Soc. Am. 108, 184 (2000). 10.1121/1.429455
28. A. R. Plastino and A. Plastino, Phys. Lett. A 193, 140 (1994). 10.1016/0375-9601(94)90948-2
29. A. B. Adib, M. P. Almeida, J. S. Andrade, and A. A. Moreira, Physica A 322, 276 (2003). 10.1016/S0378-4371(02)01601-1
30. F. T. Potiguar and U. M. S. Costa, Physica A 321, 482 (2003). 10.1016/S0378-4371(02)01918-0
31. H. B. Prosper, Am. J. Phys. 61, 54 (1993). 10.1119/1.17410
32. F. Q. Potiguar and U. M. S. Costa, Physica A 344, 614 (2004). 10.1016/j.physa.2004.06.040
33. J. S. Andrade, M. P. Almeida, A. A. Moreira, and G. A. Farias, Phys. Rev. E 65, 036121 (2002). 10.1103/PhysRevE.65.036121
34. A. V. Plyukhin, Europhys. Lett. 75, 15 (2006). 10.1209/epl/i2006-10072-2
35. L. Viola and S. Lloyd, Phys. Rev. A 58, 2733 (1998). 10.1103/PhysRevA.58. 2733
36. C. Presilla, R. Onofrio, and M. F. Bocko, Phys. Rev. B 45, 3735 (1992). 10.1103/PhysRevB.45.3735
37. V. B. Braginsky and F. Ya. Khalili, Quantum Measurements (Cambridge University Press, Cambridge, 1992).
38. A. Gaidarzhy, G. Zolfagharkhani, R. L. Badzey, and P. Mohanty, Phys. Rev. Lett. 94, 030402 (2005). 10.1103/PhysRevLett.94.030402
39. R. Onofrio, Europhys. Lett. 11, 695 (1990). 10.1209/0295-5075/11/8/001
40. C. M. Caves, K. S. Thorne, R. W. Drever, V. D. Sandberg, and M. Zimmermann, Rev. Mod. Phys. 52, 341 (1980). 10.1103/RevModPhys.52.341
41. M. F. Bocko and R. Onofrio, Rev. Mod. Phys. 68, 755 (1996). 10.1103/RevModPhys.68.755
42. H. P. Yuen, Phys. Rev. Lett. 51, 719 (1983). 10.1103/PhysRevLett.51.719
43. M. Ozawa, Phys. Rev. Lett. 60, 385 (1988). 10.1103/PhysRevLett.60.385
44. L. Viola and R. Onofrio, New J. Phys. 5, 5 (2003). 10.1088/1367-2630/5/1/ 305
45. M. B. Mensky, R. Onofrio, and C. Presilla, Phys. Rev. Lett. 70, 2825 (1993). 10.1103/PhysRevLett.70.2825
46. K. R. Patton and M. R. Geller, Phys. Rev. B 67, 155418 (2003). 10.1103/PhysRevB.67.155418
47. M. R. Geller, Phys. Rev. B 70, 205421 (2004). 10.1103/PhysRevB.70.205421
48. S.-X. Qu, A. N. Cleland, and M. R. Geller, Phys. Rev. B 72, 224301 (2005). 10.1103/PhysRevB.72.224301
49. I. Wilson-Rae, Phys. Rev. B 77, 245418 (2008). 10.1103/PhysRevB.77.245418