Thermodynamics of trapped gases: Generalized mechanical variables, equation of state, and heat capacity

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

Volumn 78, Issue 6, 2008, Pages

  Sandoval Figueroa, Nadia ^a   Romero Rochín, Víctor ^a  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATOMIC PHYSICS; ATOMS; DYNAMICS; EQUATIONS OF STATE; HYDROSTATIC PRESSURE; SPECIFIC HEAT; THERMODYNAMICS;

BOSE GASES; ELEMENTARY EXCITATIONS; EQUATION OF STATES; EXTERNAL POTENTIALS; GRAND POTENTIALS; HEAT CAPACITIES; PRESSURE VARIABLES; TRAPPED GASES; TRAPPED GASSES; ULTRA COLDS; VIRIAL EXPANSIONS;

EQUATIONS OF STATE OF GASES;

EID: 58149460249     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.061129     Document Type: Article

References (46)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995). 10.1126/science.269.5221.198
2. K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995). 10.1103/PhysRevLett.75.3969
3. C. C. Bradley, C. A. Sackett, and R. G. Hulet, Phys. Rev. Lett. 78, 985 (1997). 10.1103/PhysRevLett.78.985
4. M. Greiner, C. A. Regal, and D. S. Jin, Nature (London) 426, 537 (2003). 10.1038/nature02199
5. M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J. H. Denschlag, and R. Grimm, Phys. Rev. Lett. 92, 120401 (2004). 10.1103/PhysRevLett.92.120401
6. J. E. Thomas, J. Kinast, and A. Turlapov, Phys. Rev. Lett. 95, 120402 (2005). 10.1103/PhysRevLett.95.120402
7. K. M. F. Magalhaes, S. R. Muniz, E. A. L. Henn, R. R. Silva, L. G. Marcassa, and V. S. Bagnato, Laser Phys. Lett. 2, 214 (2005). 10.1002/lapl.200410169
8. M. W. Zwierlein, A. Schirotzek, C. H. Schunck, and W. Ketterle, Science 311, 492 (2006). 10.1126/science.1122318
9. G. B. Partridge, W. Li, K. Ramsey, Y. Liao, and R. G. Hulet, Science 311, 503 (2006). 10.1126/science.1122876
10. L. Luo, B. Clancy, J. Joseph, J. Kinast, and J. E. Thomas, Phys. Rev. Lett. 98, 080402 (2007). 10.1103/PhysRevLett.98.080402
11. Y. Shin, C. H. Schunck, A. Schirotzek, and W. Ketterle, Nature (London) 451, 689 (2008). 10.1038/nature06473
12. D. A. Butts and D. S. Rokhsar, Phys. Rev. A 55, 4346 (1997). 10.1103/PhysRevA.55.4346
13. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999), and references therein. 10.1103/RevModPhys.71.463
14. A. Perali, P. Pieri, and G. C. Strinati, Phys. Rev. A 68, 031601 (R) (2003). 10.1103/PhysRevA.68.031601
15. V. I. Yukalov, Laser Phys. Lett. 1, 435 (2004). 10.1002/lapl.200410097
16. V. Romero-Rochín, Phys. Rev. Lett. 94, 130601 (2005). 10.1103/PhysRevLett.94.130601
17. V. Romero-Rochín, J. Phys. Chem. B 109, 21364 (2005). 10.1021/jp0443052
18. V. Romero-Rochín and V. S. Bagnato, Braz. J. Phys. 35, 607 (2005).
19. T. N. De Silva and E. J. Mueller, Phys. Rev. Lett. 97, 070402 (2006). 10.1103/PhysRevLett.97.070402
20. K. B. Gubbels, M. W. J. Romans, and H. T. C. Stoof, Phys. Rev. Lett. 97, 210402 (2006). 10.1103/PhysRevLett.97.210402
21. C. C. Chien, Q. Chen, Y. He, and K. Levin, Phys. Rev. Lett. 98, 110404 (2007). 10.1103/PhysRevLett.98.110404
22. T.-L. Ho, Phys. Rev. Lett. 92, 090402 (2004). 10.1103/PhysRevLett.92. 090402
23. H. Hiu, P. D. Drummond, and X.-J. Liu, Nat. Phys. 3, 469 (2007). 10.1038/nphys598
24. J. E. Thomas, Phys. Rev. A 78, 013630 (2008). 10.1103/PhysRevA.78.013630
25. R. R. Silva, E. A. L. Henn, K. M. F. Magalhaes, L. G. Marcassa, V. Romero-Rochin, and V. S. Bagnato, Laser Phys. 16, 687 (2006). 10.1134/S1054660X06040244
26. E. A. L. Henn, G. B. Seco, J. A. Seman, K. M. F. Magalhaes, V. Romero-Rochin, and V. S. Bagnato, Nucl. Phys. A 790, 800C (2007). 10.1016/j.nuclphysa.2007.03.030
27. E. A. L. Henn, K. M. F. Magalhaes, G. B. Seco, V. Romero-Rochín, L. G. Marcassa, and V. S. Bagnato, J. Electron Spectrosc. Relat. Phenom. 56, LVIII (2007).
28. C. Garrod and C. Simmons, J. Math. Phys. 13, 1168 (1972). 10.1063/1.1666118
29. C. Marchioro and E. Presutti, Commun. Math. Phys. 27, 146 (1972). 10.1007/BF01645617
30. C. Marchioro and E. Presutti, Commun. Math. Phys. 29, 265 (1973). 10.1007/BF01646130
31. G. Pöschl and E. Teller, Z. Phys. 83, 1439 (1933);
32. see also, M. de Olaizola, thesis, UNAM, 2004.
33. S. R. de Groot, G. J. Hooyman, and C. A. Ten Seldam, Proc. R. Soc. London, Ser. A 203, 266 (1950). 10.1098/rspa.1950.0139
34. Z. Hadzibabic, P. Krüger, M. Cheneau, B. Batellier, and J. Delibard, Nature (London) 441, 1118 (2006). 10.1038/nature04851
35. P. Krüger, Z. Hadzibabic, and J. Dalibard, Phys. Rev. Lett. 99, 040402 (2007). 10.1103/PhysRevLett.99.040402
36. P. Cladé, C. Ryu, A. Ramanathan, K. Helmerson, and W. D. Phillips, e-print arXiv:0805.3519.
37. J. S. Rowlinson and B. Widom, Molecular Theory of Capillarity (Clarendon, Oxford, 1982).
38. J. E. Mayer and M. G. Mayer, Statistical Mechanics (Wiley, New York, 1940).
39. D. ter Haar, Elements of Statistical Mechanics (Rinehart, New York, 1954).
40. J. M. Blatt, Theory of Superconductivity (Academic, New York, 1964).
41. L. Landau and L. Lifshitz, Statistical Physics, Part I (Pergamon, Oxford, 1980).
42. See, for instance, L. Landau and L. Lifshitz, Quantum Mechanics (Pergamon, Oxford, 1980).
43. C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (University Press, Cambridge, 2002).
44. V. V. Goldman, I. F. Silvera, and A. J. Leggett, Phys. Rev. B 24, R2870 (1981). 10.1103/PhysRevB.24.2870
45. A. Minguzzi, S. Conti, and M. P. Tosi, J. Phys.: Condens. Matter 9, L33 (1997). 10.1088/0953-8984/9/5/001
46. V. I. Yukalov, Laser Phys. Lett. 4, 632 (2007). 10.1002/lapl.200710029