Journal of Chemical Physics
The Journal of Chemical Physics
Search:
   
 
 
 
Previous Article
Rapidly convergent iteration methods for quantum optimal control of population
A family of new iteration methods is presented for designing quantum optimal controls to manipulate the transition probability. Theoretical analysis shows that these new methods exhibit quadratic and ...
Next Article
Dissociative recombination and excitation of N<sub>2</sub><sup>+</sup>: Cross sections and product branching ratios
The absolute dissociative recombination and absolute dissociative excitation rate coefficients and cross sections have been determined for N2 + " align="middle"/> and electrons for collision energies ...

Transition path sampling and the calculation of rate constants

J. Chem. Phys. 108, 1964 (1998); doi:10.1063/1.475562

Issue Date: 1 February 1998

You are not logged in to this journal. Log in

Christoph Dellago, Peter G. Bolhuis, Félix S. Csajka, and David Chandler
Department of Chemistry, University of California at Berkeley, Berkeley, California 94720
We have developed a method to study transition pathways for rare events in complex systems. The method can be used to determine rate constants for transitions between stable states by turning the calculation of reactive flux correlation functions into the computation of an isomorphic reversible work. In contrast to previous dynamical approaches, the method relies neither on prior knowledge nor on explicit specification of transition states. Rather, it provides an importance sampling from which transition states can be characterized statistically. A simple model is analyzed to illustrate the methodology. ©1998 American Institute of Physics.
History: Received 5 August 1997; accepted 17 October 1997
Permalink: http://link.aip.org/link/?JCPSA6/108/1964/1
BUY THIS ARTICLE   (US$24)
Download PDF (305 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 02.50.-r
    Mathematical methods in physics Probability theory, stochastic processes, and statistics
  • 02.60.-x
    Mathematical methods in physics Numerical approximation and analysis
  • 82.20.Pm
    Physical chemistry Chemical kinetics Rate constants, reaction cross sections, and activation energies
  • YEAR: 1998

PUBLICATION DATA

ISSN:
0021-9606 (print)   1089-7690 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (37)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990);
  2. B. J. Berne, in Multiple Time Scales, edited by J. U. Brackbill and B. I. Cohen (Academic Press, New York, 1985), pp. 419–436.
  3. J. C. Keck, Discuss. Faraday Soc. 33, 173 (1962);
  4. J. C. Keck, Adv. Chem. Phys. 13, 85 (1967);
    J. B. Anderson, J. Chem. Phys. 58, 4684 (1973);
    C. H. Bennett, in Algorithms for Chemical Computations, ACS Symposium Series No. 46, edited R. E. Christofferson (American Chemical Society, Washington, D.C., 1977), p. 63.
  5. D. Chandler, Introduction to Modern Statistical Mechanics (Oxford University Press, New York, 1987).
  6. D. Chandler, J. Chem. Phys. 68, 2959 (1978).
  7. J. McIver and A. Komornicki, J. Am. Chem. Soc. 94, 2625 (1972).
  8. C. J. Cerjan and W. H. Miller, J. Chem. Phys. 75, 2800 (1981);
  9. F. Jensen, 102, 6706 (1995).
  10. K. Müller, Angew. Chem. Int. Ed. Engl. 19, 1 (1980).
  11. R. Czerminski and R. Elber, J. Chem. Phys. 92, 5580 (1990);
  12. R. Elber, D. P. Chen, D. Rojewska, and R. Eisenberg, Biophys. J. 68, 906 (1995).
  13. L. R. Pratt, J. Chem. Phys. 85, 5045 (1986).
  14. R. Elber and M. Karplus, Chem. Phys. Lett. 139, 375 (1987).
  15. E. M. Sevick, A. T. Bell, and D. N. Theodorou, J. Chem. Phys. 98, 3196 (1993).
  16. R. Czerminski and R. Elber, Int. J. Quantum Chem. 24, 167 (1990).
  17. G. Mills and H. Jónsson, Phys. Rev. Lett. 72, 1124 (1994).
  18. R. E. Gillilan and K. R. Wilson, J. Chem. Phys. 97, 1757 (1992).
  19. E. A. Carter, G. Ciccotti, J. T. Hynes, and R. Kapral, Chem. Phys. Lett. 156, 472 (1989).
  20. D. Chandler, in Les Houches 51, Part 1, Liquids, Freezing and Glass Transition, edited by D. Levesque, J. P. Hansen, and J. Zinn-Justin (Elsevier, New York, 1991).
  21. D. M. Ceperley, Rev. Mod. Phys. 67, 279 (1995).
  22. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953).
  23. S. Chandrasekhar, Rev. Mod. Phys. 15, 1 (1943).
  24. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon, Oxford, 1987).
  25. M. N. Rosenbluth and A. W. Rosenbluth, J. Chem. Phys. 23, 356 (1955);
  26. J. I. Siepmann and D. Frenkel, Mol. Phys. 75, 59 (1992);
    J. J. de Pablo, M. Laso, and U. W. Suter, J. Chem. Phys. 96, 2395 (1992);
    D. Frenkel, G. C. A. M. Mooij, and B. Smit, J. Phys. Condensed Matter 4, 3053 (1992).
  27. T. Garel and H. Orland, J. Phys. A 23, L621 (1990).
  28. P. G. Higgs and H. Orland, J. Chem. Phys. 95, 4506 (1991);
  29. B. Velikson, T. Garel, J.-C. Niel, H. Orland, and J. C. Smith, J. Comput. Chem. 13, 1216 (1992).
  30. M. Parrinello and A. Rahman, J. Chem. Phys. 80, 860 (1984);
  31. M. E. Tuckerman, B. J. Berne, G. J. Martyna, and M. L. Klein, 99, 2796 (1993).
  32. J. Polonyi and H. W. Wyld, Phys. Rev. Lett. 51, 2257 (1983);
  33. S. Sorella, S. Baroni, R. Car, and M. Parrinello, Europhys. Lett. 8, 663 (1989).
  34. D. Bohm and E. P. Gross, Phys. Rev. 75, 1864 (1949).
  35. J. A. Montgomery, D. Chandler, and B. J. Berne, J. Chem. Phys. 70, 4056 (1979).
  36. H. C. Andersen, J. Chem. Phys. 72, 2384 (1980).
  37. M. J. Gillan, Philos. Mag. A 58, 257 (1988).
  38. S. Nosé, J. Chem. Phys. 81, 511 (1984);
  39. W. G. Hoover, Phys. Rev. A 31, 1695 (1985).
  40. W. G. Hoover and B. L. Holian, Phys. Lett. A 211, 253 (1996).
  41. W. G. Hoover, A. J. C. Ladd, and B. Moran, Phys. Rev. Lett. 48, 1818 (1982).
  42. D. J. Evans, J. Chem. Phys. 78, 3297 (1983).
  43. G. M. Torrie and J. P. Valleau, J. Comput. Phys. 23, 187 (1977).
  44. D. Frenkel and B. Smit, Understanding Molecular Simulation (Academic Press, San Diego 1996.
  45. M. Tuckerman, B. J. Berne, and G. J. Martyna, J. Chem. Phys. 97, 1990 (1992).
  46. S. Duane, A. D. Kennedy, B. J. Pendleton, and D. Roweth, Phys. Lett. B 195, 216 (1988).

CITING ARTICLES

For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.