Statistical measure of complexity and correlated behavior of Fermi systems

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

Volumn 81, Issue 1, 2010, Pages

  Moustakidis, Ch C ^a   Psonis, V P ^a   Chatzisavvas, K Ch ^a,b   Panos, C P ^a   Massen, S E ^a  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

^b UNIVERSITY OF WESTERN MACEDONIA   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEXITY MEASURES; FERMI SYSTEMS; LIQUID HELIUM; NUCLEAR MATTERS; STATISTICAL MEASURES;

ELECTRON GAS; SUPERFLUID HELIUM;

FERMIONS;

EID: 75349083244     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.011104     Document Type: Article

References (68)

1. C. E. Shannon, Bell Syst. Tech. J. 27, 379 (1948).
2. S. R. Gadre, Phys. Rev. A 30, 620 (1984) 10.1103/PhysRevA.30.620
3. S. R. Gadre, S. B. Sears, S. J. Chakravorty, and R. D. Bendale, Phys. Rev. A 32, 2602 (1985) 10.1103/PhysRevA.32.2602
4. S. R. Gadre and R. D. Bendale, Phys. Rev. A 36, 1932 (1987). 10.1103/PhysRevA.36.1932
5. O. Onicescu, C.R. Seances Acad. Sci., Ser. A 263, 25 (1966).
6. I. Bialynicki-Birula and J. Mycielski, Commun. Math. Phys. 44, 129 (1975). 10.1007/BF01608825
7. R. A. Fisher, Proc. Cambridge Philos. Soc. 22, 700 (1925). 10.1017/S0305004100009580
8. S. Kullback, Statistics and Information Theory (Wiley, New York, 1959).
9. M. Ohya and P. Petz, Quantum Entropy and its Use (Springer-Berlin, Berlin, 1993).
10. V. Zelevinsky, M. Horoi, and B. A. Brown, Phys. Lett. B 350, 141 (1995) 10.1016/0370-2693(95)00324-E
11. V. V. Sokolov, B. A. Brown, and V. Zelevinsky, Phys. Rev. E 58, 56 (1998). 10.1103/PhysRevE.58.56
12. A. Nagy and R. G. Parr, Int. J. Quantum Chem. 58, 323 (1996). 10.1002/(SICI)1097-461X(1996)58:4<323::AID-QUA1>3.0.CO;2-#
13. V. Majerník and T. Opatrný, J. Phys. A 29, 2187 (1996). 10.1088/0305-4470/29/9/029
14. C. P. Panos and S. E. Massen, Int. J. Mod. Phys. E 6, 497 (1997) 10.1142/S0218301397000275
15. G. A. Lalazissis, S. E. Massen, C. P. Panos, and S. S. Dimitrova, Int. J. Mod. Phys. E 7, 485 (1998). 10.1142/S0218301398000257
16. S. E. Massen and C. P. Panos, Phys. Lett. A 246, 530 (1998) 10.1016/S0375-9601(98)00524-6
17. S. E. Massen and C. P. Panos, Phys. Lett. A 280, 65 (2001) 10.1016/S0375-9601(01)00030-5
18. S. E. Massen, Ch. C. Moustakidis, and C. P. Panos, Phys. Lett. A 299, 131 (2002) 10.1016/S0375-9601(02)00667-9
19. C. P. Panos, Phys. Lett. A 289, 287 (2001). 10.1016/S0375-9601(01)00619-3
20. S. K. Ghosh, M. Berkowitz, and R. G. Parr, Proc. Natl. Acad. Sci. U.S.A. 81, 8028 (1984). 10.1073/pnas.81.24.8028
21. P. Garbaczewski, J. Stat. Phys. 123, 315 (2006). 10.1007/s10955-006-9058- 2
22. B. R. Frieden, Science from Fisher Information (Cambridge University Press, Cambridge, England, 2004).
23. Ch. C. Moustakidis and S. E. Massen, Phys. Rev. B 71, 045102 (2005). 10.1103/PhysRevB.71.045102
24. S. H. Patil, K. D. Sen, N. A. Watson, and H. E. Montogomery, J. Phys. B 40, 2147 (2007). 10.1088/0953-4075/40/11/016
25. S. B. Liu, J. Chem. Phys. 126, 191107 (2007). 10.1063/1.2741244
26. A. V. Luzanov and O. V. Prezhdo, Mol. Phys. 105, 2879 (2007). 10.1080/00268970701725039
27. J. Antolín and J. C. Angulo, Eur. Phys. J. D 46, 21 (2008). 10.1140/epjd/e2007-00276-4
28. R. P. Sagar and N. L. Guevara, J. Mol. Struct.: THEOCHEM 857, 72 (2008). 10.1016/j.theochem.2008.02.009
29. R. López-Ruiz, H. L. Mancini, and X. Calbet, Phys. Lett. A 209, 321 (1995). 10.1016/0375-9601(95)00867-5
30. R. G. Catalán, J. Garay, and R. López-Ruiz, Phys. Rev. E 66, 011102 (2002). 10.1103/PhysRevE.66.011102
31. J. Sañudo and A. F. Pacheco, Phys. Lett. A 373, 807 (2009). 10.1016/j.physleta.2009.01.008
32. P. T. Landsberg and J. S. Shiner, Phys. Lett. A 245, 228 (1998) 10.1016/S0375-9601(98)00361-2
33. P. T. Landsberg, Phys. Lett. A 102, 171 (1984). 10.1016/0375-9601(84) 90934-4
34. J. S. Shiner, M. Davison, and P. T. Landsberg, Phys. Rev. E 59, 1459 (1999). 10.1103/PhysRevE.59.1459
35. D. P. Feldman and J. P. Crutchfield, Phys. Lett. A 238, 244 (1998). 10.1016/S0375-9601(97)00855-4
36. J. P. Crutchfield, D. P. Feldman, and C. R. Shalizi, Phys. Rev. E 62, 2996 (2000). 10.1103/PhysRevE.62.2996
37. P. M. Binder and N. Perry, Phys. Rev. E 62, 2998 (2000). 10.1103/PhysRevE.62.2998
38. K. Ch. Chatzisavvas, Ch. C. Moustakidis, and C. P. Panos, J. Chem. Phys. 123, 174111 (2005). 10.1063/1.2121610
39. M. T. Martin, A. Plastino, and O. A. Rosso, Phys. Lett. A 311, 126 (2003). 10.1016/S0375-9601(03)00491-2
40. K. D. Sen, C. P. Panos, K. Ch. Chatzisavvas, and Ch. C. Moustakidis, Phys. Lett. A 364, 286 (2007). 10.1016/j.physleta.2006.12.044
41. C. P. Panos, K. Ch. Chatzisavvas, Ch. C. Moustakidis, and E. G. Kyrkou, Phys. Lett. A 363, 78 (2007). 10.1016/j.physleta.2006.10.075
42. C. P. Panos, N. S. Nikolaidis, K. Ch. Chatzisavvas, and C. C. Tsouros, Phys. Lett. A 373, 2343 (2009). 10.1016/j.physleta.2009.04.070
43. R. López-Ruiz, Biophys. Chem. 115, 215 (2005). 10.1016/j.bpc.2004.12.035
44. T. Yamano, J. Math. Phys. 45, 1974 (2004). 10.1063/1.1695600
45. C. Anteneodo and A. R. Plastino, Phys. Lett. A 223, 348 (1996). 10.1016/S0375-9601(96)00756-6
46. A. Borgoo, F. De Proft, P. Geerlings, and K. D. Sen, Chem. Phys. Lett. 444, 186 (2007). 10.1016/j.cplett.2007.07.003
47. H. E. Montgomery Jr. and K. D. Sen, Phys. Lett. A 372, 2271 (2008).
48. X. Calbet and R. López-Ruiz, Physica A 382, 523 (2007). 10.1016/j.physa.2007.04.005
49. J. C. Angulo and J. Antolín, J. Chem. Phys. 128, 164109 (2008). 10.1063/1.2907743
50. J. C. Angulo, J. Antolín, and K. D. Sen, Phys. Lett. A 372, 670 (2008). 10.1016/j.physleta.2007.07.077
51. J. Sañudo and R. López-Ruiz, Phys. Lett. A 372, 5283 (2008). 10.1016/j.physleta.2008.06.012
52. J. Sañudo and R. López-Ruiz, J. Phys. A 41, 265303 (2008). 10.1088/1751-8113/41/26/265303
53. K. Ch. Chatzisavvas, V. P. Psonis, C. P. Panos, and Ch. C. Moustakidis, Phys. Lett. A 373, 3901 (2009). 10.1016/j.physleta.2009.08.042
54. S. López-Rosa, D. Manzano, and J. S. Dehesa, Physica A 388, 3273 (2009). 10.1016/j.physa.2009.04.023
55. R. López-Ruiz, A. Nagy, E. Romera, and J. Sañudo, e-print arXiv:0905.3360.
56. A. Rényi, On Measures of Information and Entropy, Proceedings of the 4th Berkeley Symposium on Mathematics, Statistics and Probability 1960 (University of California Press, Berkeley, California, 1961), pp. 547-561.
57. J. Antolín, S. Lopéz-Rosa, and J. C. Angulo, Chem. Phys. Lett. 474, 233 (2009). 10.1016/j.cplett.2009.04.061
58. A. B. Migdal, Theory of Finite Fermi-Systems and Applications to Atomic Nuclei (Wiley Interscience, New York, 1967).
59. M. Gaudin, J. Gillespie, and G. Ripka, Nucl. Phys. A 176, 237 (1971). 10.1016/0375-9474(71)90267-3
60. M. Dal Rì, S. Stringari, and O. Bohigas, Nucl. Phys. A 376, 81 (1982). 10.1016/0375-9474(82)90534-6
61. M. F. Flynn, J. W. Clark, R. M. Panoff, O. Bohigas, and S. Stringari, Nucl. Phys. A 427, 253 (1984). 10.1016/0375-9474(84)90085-X
62. S. Moroni, G. Senatore, and S. Fantoni, Phys. Rev. B 55, 1040 (1997). 10.1103/PhysRevB.55.1040
63. P. Gori-Giorgi and P. Ziesche, Phys. Rev. B 66, 235116 (2002). 10.1103/PhysRevB.66.235116
64. R. Jastrow, Phys. Rev. 98, 1479 (1955). 10.1103/PhysRev.98.1479
65. D. L. Goodstein, States of Matter (Dover Publications, New York, 1985).
66. F. Mandl, Statistical Physics (Wiley, New York, 1978).
67. K. Huang, Statistical Mechanics (Wiley, New York, 1987).
68. R. P. Feynman, Statistical Mechanics (Addison-Wesley, Reading, MA, 1972).