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Extended Browian dynamics approach to diffusion‐controlled processes
1.See for example, Z. Schulten and K. Schulten, J. Chem. Phys. 66, 4616 (1977).
2.For recent work on stilbene photoisomerization see B. I. Greene, R. M. Hochstrasser, and R. B. Weisman, Chem. Phys. Lett. 62, 427 (1979);
2.for theoretical work on photoisomerization see J. A. Montgomery, D. Chandler, and B. J. Berne, J. Chem. Phys. 70, 4056 (1979).
3.K. A. Zachariasse, W. Kühnle, and A. Weller, Chem. Phys. Lett. 59, 375 (1978).
4.R. M. Levy, M. Karplus, and J. A. McCammon, Chem. Phys. Lett. 65, 4 (1979).
5.D. L. Ermak and J. A. McCammon, J. Chem. Phys. 69, 1352 (1978).
6.K. Schulten and I. Epstein, J. Chem. Phys. 71, 309 (1979).
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8.M. V. Smoluchowski, Phys. Z. 17, 557, 585 (1916).
9.M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972), p. 297.
10.A pseudorandom integer was generated on the interval [0, ] by the congruence method and then converted to a random number r on the interval [0, 1], For a discussion of pseudorandom numbers, see Ref. 11.
11.J. M. Hammersley and D. C. Handscomb, Monte Carlo Methods (Wiley, New York, 1964).
12.G. E. Uhlenbeck and L. S. Ornstein, Phys. Rev. 36, 823 (1930).
12.[This paper is reprinted in Selected Papers on Noise and Stochastic Processes, edited by N. Wax (Dover, New York, 1954)].
13.N. G. van Kampen, J. Stat. Phys. 17, 71 (1977).
14.If at then according to Eq. (14) the drift term assures that all end points calculated from Eq. (25) will be positive.
15.An absorbing boundary condition at is also possible (see Ref. 1 above).
16.B. T. Smith, J. M. Boyle, B. S. Garbow, Y. Ikebe, V. C. Ken, and G. B. Moler, Matrix Eigensystem Routines‐Eispack Guide Book, Lecture Notes in Computer Science (Springer, New York, 1974), Vol. 6.
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