First-passage distributions in a collective model of anomalous diffusion with tunable exponent

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

Volumn 81, Issue 1, 2010, Pages

  Amitai, Assaf ^a   Kantor, Yacov ^a   Kardar, Mehran ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ABSORBING BOUNDARIES; ANOMALOUS DIFFUSION; FIRST-PASSAGE; FOURIER; FRICTION COEFFICIENTS; FUNCTION OF TIME; GAUSSIAN POLYMERS; LINEAR MODES; MEAN SQUARE DISPLACEMENT; MODEL SYSTEM; ONE DIMENSION; PROBABILITY DENSITIES; QUALITATIVE FEATURES; SUBDIFFUSION; TAGGED PARTICLE; TIME-SCALES; WAVE NUMBERS;

ABSORPTION; FRICTION; MONOMERS;

PROBABILITY DISTRIBUTIONS;

EID: 75349113018     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.011107     Document Type: Article

References (54)

1. B. B. Mandelbrot and J. W. van Ness, SIAM Rev. 10, 422 (1968) 10.1137/1010093
2. S. C. Lim and S. V. Muniandy, Phys. Rev. E 66, 021114 (2002) 10.1103/PhysRevE.66.021114
3. E. Lutz, Phys. Rev. E 64, 051106 (2001) 10.1103/PhysRevE.64.051106
4. A. N. Kolmogorov, C. R. (Dokl.) Acad. Sci. URSS 26, 6 (1940)
5. K. G. Wang, L. K. Dong, X. F. Wu, F. W. Zhu, and T. Ko, Physica A 203, 53 (1994) 10.1016/0378-4371(94)90031-0
6. K. G. Wang and M. Tokuyama, Physica A 265, 341 (1999). 10.1016/S0378-4371(98)00644-X
7. R. Metzler and J. Klafter, Phys. Rep. 339, 1 (2000) 10.1016/S0370- 1573(00)00070-3
8. R. Metzler and J. Klafter, J. Phys. A 37, R161 (2004). 10.1088/0305-4470/37/31/R01
9. W. Feller, An Introduction to Probability Theory and Its Applications (Wiley, New York, 1968).
10. S. Redner, A Guide to First-Passage Processes (Cambridge University Press, Cambridge, England, 2001).
11. G. H. Weiss, Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994).
12. S. B. Yuste and K. Lindenberg, Phys. Rev. E 69, 033101 (2004) 10.1103/PhysRevE.69.033101
13. M. Gitterman, Phys. Rev. E 62, 6065 (2000) 10.1103/PhysRevE.62.6065
14. M. Gitterman, Phys. Rev. E 69, 033102 (2004). 10.1103/PhysRevE.69.033102
15. Y. Kantor and M. Kardar, Phys. Rev. E 76, 061121 (2007). 10.1103/PhysRevE.76.061121
16. G. Zumofen and J. Klafter, Phys. Rev. E 51, 2805 (1995). 10.1103/PhysRevE.51.2805
17. A. Zoia, A. Rosso, and M. Kardar, Phys. Rev. E 76, 021116 (2007). 10.1103/PhysRevE.76.021116
18. A. Zoia, A. Rosso, and S. N. Majumdar, Phys. Rev. Lett. 102, 120602 (2009). 10.1103/PhysRevLett.102.120602
19. K. Kremer and K. Binder, J. Chem. Phys. 81, 6381 (1984) 10.1063/1.447549
20. G. S. Grest and K. Kremer, Phys. Rev. A 33, 3628 (1986) 10.1103/PhysRevA.33.3628
21. I. Carmesin and K. Kremer, Macromolecules 21, 2819 (1988). 10.1021/ma00187a030
22. J. Krug, H. Kallabis, S. N. Majumdar, S. J. Cornell, A. J. Bray, and C. Sire, Phys. Rev. E 56, 2702 (1997). 10.1103/PhysRevE.56.2702
23. P.-G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, NY, 1979).
24. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon, Oxford, 1986).
25. P. E. Rouse, J. Chem. Phys. 21, 1272 (1953). 10.1063/1.1699180
26. B. H. Zimm, J. Chem. Phys. 24, 269 (1956). 10.1063/1.1742462
27. M. Kardar, Statistical Physics of Fields (Cambridge University Press, Cambridge, England, 2007), Chap.
28. P. J. Rossky, J. D. Doll, and H. L. Friedman, J. Chem. Phys. 69, 4628 (1978). 10.1063/1.436415
29. S. Chandrasekhar, Rev. Mod. Phys. 15, 1 (1943). 10.1103/RevModPhys.15.1
30. V. Balakrishnan, Physica A 132, 569 (1985) 10.1016/0378-4371(85)90028-7
31. G. Rangarajan and M. Ding, Phys. Rev. E 62, 120 (2000). 10.1103/PhysRevE.62.120
32. S. Nechaev, G. Oshanin, and A. Blumen, J. Stat. Phys. 98, 281 (2000). 10.1023/A:1018631007164
33. A. V. Chechkin, R. Metzler, V. Y. Gonchar, J. Klafter, and L. V. Tanatarov, J. Phys. A 36, L537 (2003). 10.1088/0305-4470/36/41/L01
34. W. Sung and P. J. Park, Phys. Rev. Lett. 77, 783 (1996) 10.1103/PhysRevLett.77.783
35. P. J. Park and W. Sung, J. Chem. Phys. 108, 3013 (1998). 10.1063/1.475688
36. M. Muthukumar, J. Chem. Phys. 111, 10371 (1999). 10.1063/1.480386
37. D. K. Lubensky and D. R. Nelson, Biophys. J. 77, 1824 (1999). 10.1016/S0006-3495(99)77027-X
38. Sh.-Sh. Chern, A. E. Cárdenas, and R. D. Coalson, J. Chem. Phys. 115, 7772 (2001). 10.1063/1.1392367
39. J. Chuang, Y. Kantor, and M. Kardar, Phys. Rev. E 65, 011802 (2001); 10.1103/PhysRevE.65.011802
40. Y. Kantor and M. Kardar, Phys. Rev. E 69, 021806 (2004). 10.1103/PhysRevE.69.021806
41. J. J. Kasianowicz, E. Brandin, D. Branton, and D. W. Deamer, Proc. Natl. Acad. Sci. U.S.A. 93, 13770 (1996). 10.1073/pnas.93.24.13770
42. M. Akeson, D. Branton, J. J. Kasianowicz, E. Brandin, and D. W. Deamer, Biophys. J. 77, 3227 (1999). 10.1016/S0006-3495(99)77153-5
43. A. Meller, L. Nivon, E. Brandin, J. Golovchenko, and D. Branton, Proc. Natl. Acad. Sci. U.S.A. 97, 1079 (2000) 10.1073/pnas.97.3.1079
44. A. Meller and D. Branton, Electrophoresis 23, 2583 (2002) 10.1002/1522-2683(200208)23:16<2583::AID-ELPS2583>3.0.CO;2-H
45. A. Meller, L. Nivon, and D. Branton, Phys. Rev. Lett. 86, 3435 (2001). 10.1103/PhysRevLett.86.3435
46. B. Dreiseikelmann, Microbiol. Mol. Biol. Rev. 58, 293 (1994).
47. K. Luo, T. Ala-Nissila, and S.-Ch. Ying, J. Chem. Phys. 124, 034714 (2006). 10.1063/1.2161189
48. I. Huopaniemi, K. Luo, T. Ala-Nissila, and S.-Ch. Ying, J. Chem. Phys. 125, 124901 (2006). 10.1063/1.2357118
49. C. Chatelain, Y. Kantor, and M. Kardar, Phys. Rev. E 78, 021129 (2008). 10.1103/PhysRevE.78.021129
50. K. Luo, S. T. T. Ollila, I. Huopaniemi, T. Ala-Nissila, P. Pomorski, M. Karttunen, S.-Ch. Ying, A. Bhattacharya, Phys. Rev. E 78, 050901 (R) (2008). 10.1103/PhysRevE.78.050901
51. J. K. Wolterink, G. T. Barkema, and D. Panja, Phys. Rev. Lett. 96, 208301 (2006) 10.1103/PhysRevLett.96.208301
52. D. Panja, G. T. Barkema, and R. C. Ball, J. Phys. Condens. Matter 19, 432202 (2007). 10.1088/0953-8984/19/43/432202
53. J. L. A. Dubbeldam, A. Milchev, V. G. Rostiashvili, and T. A. Vilgis, Phys. Rev. E 76, 010801 (R) (2007). 10.1103/PhysRevE.76.010801
54. A. Milchev, K. Binder, and A. Bhattacharya, J. Chem. Phys. 121, 6042 (2004). 10.1063/1.1785776