Projection-operator approach to master equations for coarse-grained occupation numbers in nonideal quantum gases

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

Volumn 81, Issue 5, 2010, Pages

  Bartsch, Christian ^a   Steinigeweg, Robin ^b   Gemmer, Jochen ^a  

^a UNIVERSITY OF OSNABRÜCK   (Germany)

^b TECHNICAL UNIVERSITY OF BRAUNSCHWEIG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANDERSON MODELS; COARSE-GRAINED; COLLISION TERM; DYNAMICAL VARIABLES; ELECTRON PHONON SCATTERING; ELECTRON-ELECTRON SCATTERING; EQUATION OF MOTION; MASTER EQUATIONS; MATRIX; MOMENTUM SPACES; NONIDEAL; PERIODIC LATTICES; PROJECTION OPERATOR TECHNIQUE; QUANTUM GAS; SIMPLE STRUCTURES; TRANSPORT COEFFICIENT; WEAK DISORDER;

COMPUTATIONAL FLUID DYNAMICS; ELECTRON ENERGY LOSS SPECTROSCOPY; ELECTRON SCATTERING; ELECTRONS; MATHEMATICAL OPERATORS; PHONONS; THREE DIMENSIONAL;

EQUATIONS OF MOTION;

EID: 77952360185     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.051115     Document Type: Article

References (35)

1. I. Mertig, E. Mrosan, and P. Ziesche, Multiple Scattering Theory of Point Defects in Metals: Electronic Properties (Teubner-Texte zur Physik, Leipzig, 1987), Vol. 11.
2. J. M. Ziman, Electrons and Phonons (Clarendon, Oxford, 1960).
3. J. Jäckle, Einführung in die Transporttheorie (Vieweg, Braunschweig, 1978).
4. L. A. Banyai, Lectures on Nonequilibrium Theory of Condensed Matter (World Scientific, Singapore, 2006). 10.1142/9789812773814
5. C. Bartsch, R. Steinigeweg, and J. Gemmer, Phys. Rev. E 77, 011119 (2008). 10.1103/PhysRevE.77.011119
6. S. Chaturvedi and F. Shibata, Z. Phys. B 35, 297 (1979). 10.1007/BF01319852
7. H. P. Breuer, J. Gemmer, and M. Michel, Phys. Rev. E 73, 016139 (2006). 10.1103/PhysRevE.73.016139
8. H. P. Breuer and F. Petruccione, Theory of Open Quantum Systems (Oxford University Press, Oxford, 2007). 10.1093/acprof:oso/9780199213900.001.0001
9. H. Grabert, P. Talkner, and P. Hänggi, Z. Phys. B 26, 389 (1977). 10.1007/BF01570749
10. Karen M. Fonseca Romero, P. Talkner, and P. Hänggi, Phys. Rev. A 69, 052109 (2004). 10.1103/PhysRevA.69.052109
11. C. Bartsch and J. Gemmer, Phys. Rev. Lett. 102, 110403 (2009). 10.1103/PhysRevLett.102.110403
12. M. Kadirogllu and J. Gemmer, Phys. Rev. B 79, 134301 (2009). 10.1103/PhysRevB.79.134301
13. H. Grussbach and M. Schreiber, Phys. Rev. B 51, 663 (1995). 10.1103/PhysRevB.51.663
14. C. Bartsch and J. Gemmer, e-print arXiv:1003.2156.
15. V. Pouthier, Phys. Rev. B 80, 144304 (2009). 10.1103/PhysRevB.80.144304
16. J. Sirker, R. G. Pereira, and I. Affleck, Phys. Rev. Lett. 103, 216602 (2009). 10.1103/PhysRevLett.103.216602
17. C. Kittel, Introduction to Solid State Physics (Wiley, New York, 2004).
18. M. Kadiroglu and J. Gemmer, Phys. Rev. B 76, 024306 (2007). 10.1103/PhysRevB.76.024306
19. B. Kramer and A. MacKinnon, Rep. Prog. Phys. 56, 1469 (1993). 10.1088/0034-4885/56/12/001
20. R. Schöpke and E. Mrosan, Phys. Status Solidi B 90, K95 (1978). 10.1002/pssb.2220900171
21. N. Papanikolaou, N. Stefanou, and C. Papastaikoudis, Phys. Rev. B 49, 16117 (1994). 10.1103/PhysRevB.49.16117
22. J. P. Dekker, A. Lodder, and J. van Ek, Phys. Rev. B 57, 12719 (1998). 10.1103/PhysRevB.57.12719
23. R. Steinigeweg, H. Wichterich, and J. Gemmer, EPL 88, 10004 (2009). 10.1209/0295-5075/88/10004
24. R. E. Peierls, Quantum Theory of Solids (Clarendon, Oxford, 2001). 10.1093/acprof:oso/9780198507819.001.0001
25. S. Lepri, R. Livi, and A. Politi, Phys. Rep. 377, 1 (2003). 10.1016/S0370-1573(02)00558-6
26. L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962).
27. J. Rammer and H. Smith, Rev. Mod. Phys. 58, 323 (1986). 10.1103/RevModPhys.58.323
28. D. N. Zubarev, V. Morozov, and G. Ropke, Statistical Mechanics of Nonequilibrium Processes: Basic Concepts, Kinetic Theory (Akademie Wiley-VHC, Berlin, 1996).
29. L. Erdös, M. Salmhofer, and H. Yau, e-print arXiv:math-ph/0302034.
30. H. Haug, Statistische Physik: Gleichgewichtstheorie und Kinetik (Springer, Berlin, Heidelberg, 2006).
31. K. Aoki, J. Lukkarinen, and H. Spohn, J. Stat. Phys. 124, 1105 (2006). 10.1007/s10955-006-9171-2
32. J. Koide, J. Phys. A 33, L127 (2000). 10.1088/0305-4470/33/13/102
33. D. Benedetto, F. Castella, R. Esposito, and M. Pulvirenti, J. Stat. Phys. 116, 381 (2004). 10.1023/B:JOSS.0000037205.09518.3f
34. K. Hornberger, Phys. Rev. Lett. 97, 060601 (2006). 10.1103/PhysRevLett. 97.060601
35. B. Vacchini, Int. J. Theor. Phys. 44, 1011 (2005). 10.1007/s10773-005- 7077-4