Density-matrix renormalization-group study of current and activity fluctuations near nonequilibrium phase transitions

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

Volumn 79, Issue 2, 2009, Pages

  Gorissen, Mieke ^a   Hooyberghs, Jef ^a,b,c   Vanderzande, Carlo ^a,c  

^a HASSELT UNIVERSITY   (Belgium)

^b FLEMISH INSTITUTE FOR TECHNOLOGICAL RESEARCH VITO   (Belgium)

^c UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FUNCTION EVALUATION; MARKOV PROCESSES; STATISTICAL MECHANICS;

ABSORBING-STATE TRANSITIONS; ASYMMETRIC EXCLUSION PROCESS; CONTACT PROCESS; CRITICAL EXPONENTS; CUMULANTS; DENSITY-MATRIX RENORMALIZATION GROUPS; DYNAMICAL EXPONENTS; EIGEN VALUES; FLUCTUATING CURRENTS; GENERATING FUNCTIONS; LARGEST EIGENVALUE; NON-EQUILIBRIUM PHASE TRANSITIONS; SCALING PROPERTIES;

PHASE TRANSITIONS;

EID: 61349133638     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.020101     Document Type: Article

References (30)

1. S. R. de Groot and P. Mazur, Non-equilibrium Thermodynamics (Dover, New York, 1984).
2. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, England, 1999).
3. Y. Nazarov, Quantum Noise in Mesoscopic Physics, Vol. 97 of NATO Science Series II (Kluwer, Dordrecht, 2003).
4. T. T. Heikkilä and T. Ojanen, Phys. Rev. B 75, 035335 (2007); 10.1103/PhysRevB.75.035335
5. T. Fujisawa, T. Hayashi, R. Tomita, and Y. Hirayama, Science 312, 1634 (2006). 10.1126/science.1126788
6. B. Derrida, J. Stat. Mech.: Theory Exp. (2007) P07023; 10.1088/1742-5468/2007/07/P07023
7. R. A. Blythe and M. R. Evans, J. Phys. A 40, R333 (2007). 10.1088/1751-8113/40/46/R01
8. B. Derrida and J. L. Lebowitz, Phys. Rev. Lett. 80, 209 (1998); 10.1103/PhysRevLett.80.209
9. B. Derrida and C. Appert, J. Stat. Phys. 94, 1 (1999); 10.1023/A:1004519626804
10. T. Bodineau and B. Derrida, Phys. Rev. Lett. 92, 180601 (2004); 10.1103/PhysRevLett.92.180601
11. C. Appert-Rolland, B. Derrida, V. Lecomte, and F. van Wijland, Phys. Rev. E 78, 021122 (2008). 10.1103/PhysRevE.78.021122
12. C. Giardiná, J. Kurchan, and L. Peliti, Phys. Rev. Lett. 96, 120603 (2006); 10.1103/PhysRevLett.96.120603
13. V. Lecomte and J. Tailleur, J. Stat. Mech.: Theory Exp. (2007) P03004. 10.1088/1742-5468/2007/03/P03004
14. V. Lecomte, U. C. Täuber, and F. van Wijland, J. Phys. A 40, 1447 (2007). 10.1088/1751-8113/40/7/003
15. M. Baiesi, C. Maes, and K. Netocný, e-print arXiv:cond-mat/0807. 0145.
16. V. Lecomte, C. Appert-Rolland, and F. van Wijland, J. Stat. Phys. 127, 51 (2007). 10.1007/s10955-006-9254-0
17. J. P. Garrahan, Phys. Rev. Lett. 98, 195702 (2007). 10.1103/PhysRevLett. 98.195702
18. B. Derrida, M. R. Evans, V. Hakim, and V. Pasquier, J. Phys. A 26, 1493 (1993). 10.1088/0305-4470/26/7/011
19. G. Schütz, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic Press, San Diego, 2000), Vol. 19.
20. S. R. White, Phys. Rev. Lett. 69, 2863 (1992); 10.1103/PhysRevLett.69. 2863
21. S. R. White, Phys. Rev. B 48, 10345 (1993). 10.1103/PhysRevB.48.10345
22. U. Schollwöck, Rev. Mod. Phys. 77, 259 (2005). 10.1103/RevModPhys. 77.259
23. E. Carlon, M. Henkel, and U. Schollwöck, Eur. Phys. J. B 12, 99 (1999); 10.1007/s100510050983
24. M. Kaulke and I. Peschel, Eur. Phys. J. B 5, 727 (1998). 10.1007/s100510050496
25. M. Gorissen, J. Hooyberghs, and C. Vanderzande (unpublished).
26. B. Derrida, B. Douçot, and P.-E. Roche, J. Stat. Phys. 115, 717 (2004). 10.1023/B:JOSS.0000022379.95508.b2
27. B. Derrida, M. R. Evans, and K. Mallick, J. Stat. Phys. 79, 833 (1995). 10.1007/BF02181206
28. M. Henkel and G. Schütz, J. Phys. A 21, 2617 (1988). 10.1088/0305-4470/21/11/019
29. J. de Gier and F. H. L. Essler, Phys. Rev. Lett. 95, 240601 (2005). 10.1103/PhysRevLett.95.240601
30. P. Grassberger and A. de la Torre, Ann. Phys. (N.Y.) 122, 373 (1979). 10.1016/0003-4916(79)90207-0