Shock probes in a one-dimensional Katz-Lebowitz-Spohn model

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

Volumn 77, Issue 6, 2008, Pages

  Chatterjee, Sakuntala ^a,b   Barma, Mustansir ^a  

^a TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

^b FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; NUMERICAL ANALYSIS;

(PL) PROPERTIES; AMERICAN PHYSICAL SOCIETY (APS); DYNAMICAL CORRELATION FUNCTIONS; INTERACTION STRENGTHS; ISING INTERACTION; NEAREST NEIGHBOR (NN); NUMERICAL SIMULATIONS; NUMERICAL STUDIES; ONE-DIMENSIONAL; SCALING FORMS; STRENGTH (IGC: D5/D6); ZERO-RANGE PROCESS (ZRP);

FLOW INTERACTIONS;

EID: 45849153092     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.061124     Document Type: Article

References (22)

1. D. Weihs, T. G. Mason, and M. A. Teitell, Biophys. J. BIOJAU 0006-3495 10.1529/biophysj.106.081109 91, 4296 (2006).
2. H. Oikawa and H. Nakanishi, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1388628 115, 3785 (2001).
3. G. V. Soni, B. M. Jaffar Ali, Y. Hatwalne, and G. V. Shivashankar, Biophys. J. 84, 2634 (2003). 0006-3495
4. P. Habdas, D. Schaar, A. C. Levitt, and E. R. Weeks, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10075-y 67, 477 (2004).
5. Y. Kafri, E. Levine, D. Mukamel, G.M. Schütz and R.D. Willmann, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.035101 68, 035101 (R) (2003).
6. S. Chatterjee and M. Barma, J. Stat. Mech.: Theory Exp. 2007, L01004 (2007). 1742-5468
7. T. M. Liggett, Interacting Particle Systems (Springer, Berlin, 1985).
8. P. A. Ferrari, C. Kipnis, and S. Saada, Ann. Probab. 19, 226 (1991). 0091-1798
9. B. Derrida, S. A. Janowsky, J. L. Lebowitz, and E. R. Speer, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01052811 73, 813 (1993).
10. S. Katz, J. L. Lebowitz, and H. Spohn, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01018556 34, 497 (1984).
11. J. M. Luck and C. Godrèche, J. Stat. Mech.: Theory Exp. 1742-5468 (2006), 08009.
12. E. Levine, D. Mukamel, and G. M. Schütz, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10026-2 70, 565 (2005).
13. A. Rakos, E. Levine, D. Mukamel, and G. M. Schütz, J. Stat. Mech.: Theory Exp. 1742-5468 (2006), 11001.
14. P. A. Ferrari and L. R. G. Fontes, Probab. Theory Relat. Fields PTRFEU 0178-8051 10.1007/BF01199027 99, 305 (1994).
15. B. Derrida and M. R. Evans, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/32/26/303 32, 4833 (1999).
16. C. Boutillier, P. François, K. Mallick, and S. Mallick, J. Phys. A 35, 9703 (2002). 0305-4470
17. H. Beijeren, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01026591 63, 47 (1991).
18. S. Gupta, S. N. Majumdar, C. Godrèche, and M. Barma, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.021112 76, 021112 (2007).
19. M. R. Evans, Braz. J. Phys. BJPHE6 0103-9733 10.1590/S0103- 97332000000100005 30, 42 (2000).
20. Y. Kafri, E. Levine, D. Mukamel, and J. Török, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/30/101 35, L459 (2002).
21. M. R. Evans, E. Levine, P. K. Mohanty, and D. Mukamel, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2004-00314-7 41, 223 (2004).
22. Throughout this paper, we have considered probe particles embedded in a KLS ring and found a large time crossover in the probe dynamics as discussed above. Instead of a KLS model, when the probe particles are embedded in a medium, such that certain movements of the probes become temporally uncorrelated (see Ref. for details), then no such crossover effects have been observed. In this case of "mixed dynamics" of the probe particles, an -dependent scaling form seems to remain valid, within the range of time we have investigated.