Power spectra of the total occupancy in the totally asymmetric simple exclusion process

Physical Review Letters

Volumn 99, Issue 2, 2007, Pages

  Adams, D A ^a   Zia, R K P ^a   Schmittmann, B ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; MONTE CARLO METHODS; POWER SPECTRUM;

ASYMMETRIC EXCLUSION; POWER SPECTRA; PRONOUNCED OSCILLATIONS;

PHASE TRANSITIONS;

EID: 34547256160     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.99.020601     Document Type: Article

References (22)

1. F. Spitzer, Advances in Mathematics ADMTA4 0001-8708 5, 246 (1970); 10.1016/0001-8708(70)90034-4
2. For a recent review, see G. Schütz, Exactly Solvable Models in Many-Body Systems, edited by, C. Domb, and, J.L. Lebowitz, Phase Transition and Critical Phenomena Vol. 19 (Academic, London, 2001).
3. C. MacDonald, J. Gibbs, and A. Pipkin, Biopolymers 6, 1 (1968); BIPMAA 0006-3525 10.1002/bip.1968.360060102
4. C. MacDonald and J. Gibbs, Biopolymers 7, 707 (1969); BIPMAA 0006-3525 10.1002/bip.1969.360070508
5. D.E. Wolf and L.-H. Tang, Phys. Rev. Lett. 65, 1591 (1990); PRLTAO 0031-9007 10.1103/PhysRevLett.65.1591
6. V. Popkov, L. Santen, A. Schadschneider, and G.M. Schütz, J. Phys. A JPHAC5 0305-4470 34, L45 (2001); 10.1088/0305-4470/34/6/103
7. L.B. Shaw, R.K.P. Zia, and K.H. Lee, Phys. Rev. E 68, 021910 (2003); PLEEE8 1063-651X 10.1103/PhysRevE.68.021910
8. T. Chou and G. Lakatos, Phys. Rev. Lett. 93, 198101 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.198101
9. See, e.g., B. Derrida, Phys. Rep. 301, 65 (1998) and the review in. PRPLCM 0370-1573 10.1016/S0370-1573(98)00006-4
10. P. Pierobon, A. Parmeggiani, F. von Oppen, and E. Frey, Phys. Rev. E 72, 036123 (2005). Note that the power spectrum considered in this reference (Eqn. 26) is associated with the autocorrelation of the local density fluctuations. It should be distinguished from our correlation of the total occupation in the system. PLEEE8 1063-651X 10.1103/PhysRevE.72.036123
11. D.A. Adams, B. Schmittmann, and R.K.P. Zia (to be published).
12. B. Derrida, E. Domany, and D. Mukamel, J. Stat. Phys. 69, 667 (1992); JSTPSB 0022-4715 10.1007/BF01050430
13. L. Santen and C. Appert, J. Stat. Phys. 106, 187 (2002). JSTPSB 0022-4715 10.1023/A:1013176229983
14. H.K. Janssen and B. Schmittmann, Z. Phys. B ZPCMDN 0722-3277 63, 517 (1986); 10.1007/BF01726201
15. For a general review, see B. Schmittmann and R.K.P. Zia, Statistical Mechanics of Driven Diffusive Systems, edited by, C. Domb, and, J.L. Lebowitz, Phase Transitions and Critical Phenomena Vol. 17 (Academic, New York, 1995).
16. J.M. Burgers, The Nonlinear Diffusion Equation (Riedel, Boston, 1974).
17. D. Forster, D.R. Nelson, and M.J. Stephen, Phys. Rev. A 16, 732 (1977). PLRAAN 1050-2947 10.1103/PhysRevA.16.732
18. Specifically, see Eqns.(21b) and (24a) in and also and H. van Beijeren, R. Kutner, and H. Spohn, Phys. Rev. Lett. 54, 2026 (1985). PRLTAO 0031-9007 10.1103/PhysRevLett.54.2026
19. See, e.g., H.L. Pecseli, Fluctuations in Physical Systems (Cambridge, United Kingdom, 2000).
20. See, e.g., J.V. Andersen, H.K. Jensen, and O.G. Mouritsen, Phys. Rev. B PRBMDO 0163-1829 44, 439 (1991); 10.1103/PhysRevB.44.439
21. K-T. Leung, Phys. Rev. B PRBMDO 0163-1829 44, 5340 (1991); 10.1103/PhysRevB.44.5340
22. K.B. Lauritsen and H.C. Fogedby, J. Stat. Phys. 72, 189 (1993). JSTPSB 0022-4715 10.1007/BF01048046