Controlling activated processes of nonadiabatically, periodically driven dynamical systems: A multiple scale perturbation approach

Journal of Chemical Physics

Volumn 136, Issue 23, 2012, Pages

  Shit, Anindita ^a   Chattopadhyay, Sudip ^a   Chaudhuri, Jyotipratim Ray ^b  

^a INDIAN INSTITUTE OF ENGINEERING SCIENCE AND TECHNOLOGY   (India)

^b Katwa College   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ACTIVATED PROCESS; ADIABATICITY; BROWNIAN PARTICLES; DRIVING FORCES; ESCAPE PROCESS; ESCAPE RATE; EXTERNAL PERTURBATIONS; HIGH AMPLITUDES; META-STABLE STATE; MONOCHROMATIC FIELDS; MULTIPLE SCALE PERTURBATION THEORY; MULTIPLE-SCALE PERTURBATION; NONEQUILIBRIUM SYSTEM; ONE DIMENSION; PHYSICAL SYSTEMS; THEORETICAL EXPRESSION; TIME-DEPENDENT;

DYNAMICAL SYSTEMS;

DAMPING;

EID: 84863736337     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4729848     Document Type: Article

References (48)

1. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998), and references therein. 10.1103/RevModPhys.70.223
2. P. Jung, Phys. Rep. 234, 175 (1993). 10.1016/0370-1573(93)90022-6
3. S. I. Denisov, K. Sakmann, P. Talkner, and P. Hänggi, Europhys. Lett. 76, 1001 (2006); 10.1209/epl/i2006-10403-3
4. S. I. Denisov, K. Sakmann, P. Talkner, and P. Hänggi, Phys. Rev. B 75, 184432 (2007); 10.1103/PhysRevB.75.184432
5. S. I. Denisov, A. Yu. Polyakov, and T. V. Lyutyy, Phys. Rev. B 84, 174410 (2011). 10.1103/PhysRevB.84.174410
6. C. Kim, P. Talkner, E. K. Lee, and P. Hänggi, Chem. Phys. 370, 277 (2010). 10.1016/j.chemphys.2009.10.027
7. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990); 10.1103/RevModPhys.62.251
8. P. Hänggi and P. Jung, Adv. Chem. Phys. 89, 239 (1995). 10.1002/9780470141489.ch4
9. S. M. Soskin, R. Mannella, and P. V. E. McClintock, Phys. Rep. 373, 247 (2003). 10.1016/S0370-1573(02)00269-7
10. M. Borromeo and F. Marchesoni, Phys. Rev. Lett. 99, 150605 (2007); 10.1103/PhysRevLett.99.150605
11. M. Borromeo and F. Marchesoni, Europhys. Lett. 72, 362 (2005); 10.1209/epl/i2005-10246-4
12. I. I. Blechman, Vibrational Mechanics (World Scientific, Singapore, 2000);
13. J. Casado-Pasqual, D. Cubero, and J. P. Baltanás, Europhys. Lett. 77, 50004 (2007); 10.1209/0295-5075/77/50004
14. P. S. Landa and P. V. E. McClintock, J. Phys. A 33, L433 (2000). 10.1088/0305-4470/33/45/103
15. H. A. Kramers, Physica (Amsterdam) 7, 284 (1940). 10.1016/S0031-8914(40) 90098-2
16. A. Shit, S. Chattopadhyay, and J. Ray Chaudhuri, Phys. Rev. E 83, 060101(R) (2011). 10.1103/PhysRevE.83.060101
17. A. Shit, S. Chattopadhyay, and J. Ray Chaudhuri, Eur. Phys. Lett. 97, 40006 (2012). 10.1209/0295-5075/97/40006
18. P. L. Kapitza, Zh. Eksp. Teor. Fiz. 21, 588 (1951);
19. L. D. Landau and E. M. Lifshitz, Mechanics (Pergamon, Oxford, 1976).
20. S. Rahav, I. Gilary, and S. Fishman, Phys. Rev. Lett. 91, 110404 (2003); 10.1103/PhysRevLett.91.110404
21. S. Rahav, I. Gilary, and S. Fishman, Phys. Rev. A 68, 013820 (2003). 10.1103/PhysRevA.68.013820
22. P. Hänggi and H. Thomas, Phys. Rep. 88, 207 (1982). 10.1016/0370-1573(82)90045-X
23. C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, New York, 1978);
24. D. W. Jordan and P. Smith, Nonlinear Ordinary Differential Equations, Oxford Applied Mathematics and Computing Science Series (Oxford University Press, Oxford, 1977).
25. A. H. Nayfeh and D. T. Mook, Nonlinear Oscillations (Wiley Interscience, New York, 1979).
26. M. D. Van Dyke, Perturbation Methods in Fluid Mechanics (Academic Press, New York, 1964);
27. I. V. Andrianov and L. I. Manevitch, Asymptotology, Ideas, Methods and Applications (Kluwer Academic, Dordrecht, 2002).
28. M. P. Cartmell, S. W. Ziegler, R. Khanin, and D. I. M. Forehand, Appl. Mech. Rev. 56, 455 (2003). 10.1115/1.1581884
29. A. Shit, S. Chattopadhyay, and J. Ray Chaudhuri, Chaos 22, 013131 (2012). 10.1063/1.3692970
30. S. Kohler, J. Lehmann, and P. Hänggi, Phys. Rep. 406, 379 (2005); 10.1016/j.physrep.2004.11.002
31. P. Hänggi and F. Marchesoni, Rev. Mod. Phys. 81, 387 (2009). 10.1103/RevModPhys.81.387
32. S. Savelev, F. Marchesoni, and F. Nori, Phys. Rev. E 70, 061107 (2004). 10.1103/PhysRevE.70.061107
33. M. H. Devoret, D. Esteve, J. M. Martinis, A. Cleland, and J. Clarke, Phys. Rev. B 36, 58 (1987). 10.1103/PhysRevB.36.58
34. H. Risken, The FokkerPlanck Equation: Method of Solution and Applications (Springer, New York, 1989).
35. W. Horsthemke and R. Lefever, Noise-Induced Transitions (Springer-Verlag, Berlin, 1984).
36. M. Borromeo and F. Marchesoni, Europhys. Lett. 68, 783 (2004); 10.1209/epl/i2004-10287-1
37. M. Borromeo and F. Marchesoni, Phys. Rev. E 71, 031105 (2005). 10.1103/PhysRevE.71.031105
38. L. Gammaitoni, M. Löcher, A. R. Bulsara, P. Hänggi, J. Neff, K. Wiesenfeld, W. L. Ditto, and M. E. Inchiosa, Phys. Rev. Lett. 82, 4574 (1999); 10.1103/PhysRevLett.82.4574
39. M. Löcher, M. E. Inchiosa, J. Neff, A. Bulsara, K. Wiesenfeld, L. Gammaitoni, P. Hänggi, and W. Ditto, Phys. Rev. E 62, 317 (2000). 10.1103/PhysRevE.62.317
40. T. C. Gard, Monographs and Textbooks in Pure and Applied Mathematics (Marcel Dekker, New York, 1987), Vol. 114;
41. R. Toral, Computational Field Theory and Pattern Formation, Lecture Notes in Physics Vol. 448, edited by, P. L. Garrido, and, J. Marro, (Springer-Verlag, Berlin, 1995).
42. C. Mahanta and T. G. Venkatesh, Phys. Rev. E 58, 4141 (1998); 10.1103/PhysRevE.58.4141
43. J. Ray Chaudhuri, D. Barik, and S. K. Banik, Phys. Rev. E 74, 061119 (2006). 10.1103/PhysRevE.74.061119
44. A. M. Perelomov and Y. B. Zeldovich, Quantum Mechanics-Selected Topics (World Scientific, Singapore, 1998).
45. G. Giacomelli, F. Marin, M. Gabrysch, K. H. Gulden, and M. Moser, Opt. Commun. 146, 136 (1998); 10.1016/S0030-4018(97)00530-0
46. M. B. Willemsen, M. U. F. Khalid, M. P. van Exter, and J. P. Woerdman, Phys. Rev. Lett. 82, 4815 (1999). 10.1103/PhysRevLett.82.4815
47. V. V. Balandin, M. D. Dyachkov, and E. N. Shapshnikova, Part. Accel. 35, 1 (1991);
48. R. Cappi, R. Garoby, and E. N. Shaposhnikova, CERN, Report No. CERN/PS 92-40 (RF) Geneva, Switzerland, 1992 (unpublished).