Analytically solvable model of a driven system with quenched dichotomous disorder

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

Volumn 75, Issue 6, 2007, Pages

  Denisov, S I ^a,b   Kostur, M ^a   Denisova, E S ^b   Hanggi P ^a,c  

^a UNIVERSITY OF AUGSBURG   (Germany)

^b SUMY STATE UNIVERSITY   (Ukraine)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER ANALYSIS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION;

FOURIER INTEGRALS; GAUSSIAN FORM; LINEAR RANDOM POTENTIAL; SINGULAR CONTRIBUTION;

LINEAR SYSTEMS;

EID: 34547245515     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.061123     Document Type: Article

References (26)

1. J. P. Bouchaud and A. Georges, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(90)90099-N 195, 127 (1990).
2. J. P. Bouchaud, A. Comtet, A. Georges, and P. Le Doussal, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(90)90043-N 201, 285 (1990).
3. S. Scheidl, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01307487 97, 345 (1995).
4. P. Le Doussal and V. M. Vinokur, Physica C PHYCE6 0921-4534 10.1016/0921-4534(95)00545-5 254, 63 (1995).
5. H. Horner, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/s002570050118 100, 243 (1996).
6. D. A. Gorokhov and G. Blatter, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.213 58, 213 (1998).
7. S. I. Denisov and W. Horsthemke, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.3311 62, 3311 (2000).
8. A. V. Lopatin and V. M. Vinokur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1817 86, 1817 (2001).
9. P. Reimann and P. Hänggi, Appl. Phys. A: Mater. Sci. Process. APAMFC 0947-8396 10.1007/s003390201331 75, 169 (2002).
10. R. D. Astumian and P. Hänggi, Phys. Today PHTOAD 0031-9228 10.1016/S0370-1573(01)00081-3 55 (11), 33 (2002).
11. P. Hänggi, F. Marchesoni, and F. Nori, Ann. Phys. ANPYA2 0003-3804 10.1002/andp.200410121 14, 51 (2005).
12. F. Marchesoni, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.2492 56, 2492 (1997).
13. M. N. Popescu, C. M. Arizmendi, A. L. Salas-Brito, and F. Family, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3321 85, 3321 (2000).
14. L. Gao, X. Luo, S. Zhu, and B. Hu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.062104 67, 062104 (2003).
15. P. E. Parris, M. Ku., D. H. Dunlap, and V. M. Kenkre, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.5295 56, 5295 (1997).
16. V. M. Kenkre, M. Ku., D. H. Dunlap, and P. E. Parris, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.99 58, 99 (1998).
17. Ya. G. Sinai, Theor. Probab. Appl. TPRBAU 0040-585X 10.1137/1127028 27, 256 (1982).
18. A. O. Golosov, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01215280 92, 491 (1984).
19. C. Monthus, Lett. Math. Phys. LMPHDY 0377-9017 10.1007/s11005-006-0122-2 78, 207 (2006).
20. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.62.251 62, 251 (1990).
21. S. I. Denisov, J. Magn. Magn. Mater. JMMMDC 0304-8853 10.1016/0304-8853(95)00043-7 147, 406 (1995).
22. S. I. Denisov and R. Yu. Lopatkin, Phys. Scr. PHSTBO 0031-8949 10.1088/0031-8949/56/5/002 56, 423 (1997).
23. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series (Gordon & Breach, New York, 1986), Vol. 1, Eq. 2.3.4.9.
24. B. V. Gnedenko and A. N. Kolmogorov, Limit Distributions for Sums of Independent Random Variables (Addison-Wesley, Cambridge, MA, 1954).
25. P. Hänggi and H. Thomas, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(82)90045-X 88, 207 (1982).
26. N. G. Van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1992).