Kinetics of self-induced aggregation of Brownian particles: Non-Markovian and non-Gaussian features

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

Volumn 78, Issue 5, 2008, Pages

  Ghosh, Pulak Kumar ^a   Sen, Monoj Kumar ^b   Bag, Bidhan Chandra ^b  

^a DEPARTMENT OF MATERIALS SCIENCE   (India)

^b VISVA BHARATI UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ELEMENTARY PARTICLE SOURCES; ELEMENTARY PARTICLES; EQUATIONS OF MOTION; GAUSSIAN NOISE (ELECTRONIC); LEARNING SYSTEMS; RANDOM PROCESSES; TRELLIS CODES;

AGGREGATION PROCESSES; BROWNIAN PARTICLES; CLUSTER FORMATIONS; CLUSTER NUMBERS; COLORED NOISES; LANGEVIN EQUATIONS; LOCAL DISTRIBUTIONS; LONG TIMES; MARKOVIAN; NOISE CORRELATIONS; NOISE PROCESSES; NOISE VARIANCES; NON-GAUSSIAN; POWER LAWS; RANDOM NOISES; SIMULATION RESULTS; TIME EVOLUTIONS;

AGGLOMERATION;

EID: 56149096376     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.051103     Document Type: Article

References (41)

1. H. R. Pruppacher and J. D. Klett, Microphysics of Clouds and Precipitation (Kluwer Academic, Dordrecht, The Netherlands, 2003).
2. P. J. Flory, Principles of Polymer Chemistry (Cornell University Press, London, 1953).
3. H. M. Jaeger and S. R. Nagel, Rev. Mod. Phys. 10.1103/RevModPhys.68.1259 68, 1259 (1996).
4. A. Okubo and S. A. Levin, Diffusion and Ecological Problems: Modern Perspectives (Springer, New York, 2001).
5. G. Flierl, D. Grunbaum, S. Levin, and D. Olson, J. Theor. Biol. 10.1006/jtbi.1998.0842 196, 397 (1999).
6. S. A. Levin, B. Grenfell, A. Hastings, and A. S. Perelson, Science 10.1126/science.275.5298.334 275, 334 (1997).
7. M. A. Nowak, S. Bonhoeffer, and R. M. May, Proc. Natl. Acad. Sci. U.S.A. 10.1073/pnas.91.11.4877 91, 4877 (1994);
8. M. A. Nowak, S. Bonhoeffer, and R. M. May, Nature (London) 10.1038/379126a0 379, 126 (1996).
9. M. Nakamaru, H. Matsuda, and Y. Iwasa, J. Theor. Biol. 10.1006/jtbi.1996.0243 184, 65 (1997).
10. J. M. Smith, Evolution and the Theory of Games (Cambridge University Press, Cambridge, 1982).
11. W. D. Hamilton, J. Theor. Biol. 10.1016/0022-5193(64)90038-4 7, 1 (1964);
12. W. D. Hamilton, J. Theor. Biol. 10.1016/0022-5193(64)90039-6 7, 17 (1964).
13. T. Vicsek, A. Czirok, E. Ben-Jacob, I. Cohen, and O. Shochet, Phys. Rev. Lett. 10.1103/PhysRevLett.75.1226 75, 1226 (1995).
14. A. Lotem, M. A. Fishman, and L. Stone, Nature (London) 10.1038/22247 400, 226 (1999).
15. M. A. Nowak and K. Sigmund, Nature (London) 10.1038/31225 393, 573 (1998).
16. J. D. Murray, Mathematical Biology (Springer-Verlag, Berlin, 1993).
17. F. Cecconi, M. Marsili, J. R. Banavar, and A. Maritan, Phys. Rev. Lett. 10.1103/PhysRevLett.89.088102 89, 088102 (2002).
18. F. Cecconi, J. R. Banavar, and A. Maritan, Phys. Rev. E 10.1103/PhysRevE.62.R5879 62, R5879 (2000).
19. R. L. Stratonovich, Topics in the Theory of Random Noise (Gordon and Breach, New York, 1963).
20. C. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry, and the Natural Science (Springer-Verlag, Berlin, 1983).
21. A. Czirók, A.-L. Barabási, and T. Vicsek, Phys. Rev. Lett. 10.1103/PhysRevLett.82.209 82, 209 (1999).
22. O. J. O'Loan and M. R. Evans, J. Phys. A 10.1088/0305-4470/32/8/002 32, L99 (1999).
23. F. Cecconi, G. Gonnella, and G. P. Saracco, Phys. Rev. E 10.1103/PhysRevE.75.031111 75, 031111 (2007).
24. G. Weisbuch, C. R. Acad. Sci., Ser. I: Math. 298, 375 (1984).
25. D. Nozaki, D. J. Mar, P. Grigg, and J. J. Collins, Phys. Rev. Lett. 82, 2402 (1999). 10.1103/PhysRevLett.82.2402
26. C. M. Newman, Nature (London) 10.1038/315400a0 315, 400 (1985).
27. M. A. Fuentes, R. Toral, and H. S. Wio, Physica A 10.1016/S0378-4371(01) 00062-0 295, 114 (2001);
28. F. J. Castro, M. N. Kuperman, M. Fuentes, and H. S. Wio, Phys. Rev. E 10.1103/PhysRevE.64.051105 64, 051105 (2001);
29. P. Majee, G. Goswami, and B. C. Bag, Chem. Phys. Lett. 10.1016/j.cplett.2005.09.105 416, 256 (2005);
30. B. C. Bag and C. K. Hu, Phys. Rev. E 10.1103/PhysRevE.75.042101 75, 042101 (2007);
31. B. C. Bag, K. G. Petrosyan, and C. K. Hu, Phys. Rev. E 10.1103/PhysRevE.76.056210 76, 056210 (2007).
32. L. Borland, Phys. Lett. A 10.1016/S0375-9601(98)00467-8 245, 67 (1998).
33. M. A. Fuentes, H. S. Wio, and R. Toral, Physica A 10.1016/S0378-4371(01) 00435-6 303, 91 (2002).
34. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 10.1103/RevModPhys.62.251 62, 251 (1990).
35. P. Majee and B. C. Bag, J. Phys. A 10.1088/0305-4470/37/10/003 37, 3353 (2004).
36. G. Goswami, P. Majee, P. K. Ghosh, and B. C. Bag, Physica A 10.1016/j.physa.2006.09.013 375, 429 (2007).
37. R. F. Fox, I. R. Gatland, R. Roy, and G. Vemuri, Phys. Rev. A 10.1103/PhysRevA.38.5938 38, 5938 (1988).
38. P. E. Kloeden and E. Platen, Numerical Solution of Stochastic Differential Equations (Springer, Berlin, 1999).
39. D. Barik, B. C. Bag, and D. S. Ray, J. Chem. Phys. 10.1063/1.1628227 119, 12973 (2003);
40. D. Banerjee, B. C. Bag, S. K. Banik, and D. S. Ray, J. Chem. Phys. 10.1063/1.1711593 120, 8960 (2004).
41. R. Toral, in Computational Physics, edited by, P. Garrido, and, J. Marro Lecture Notes in Physics Vol. 448 (Springer-Verlag, Berlin, 1995).