Abstract
Markov processes are encountered in many contexts in physics and chemistry. This review surveys the scope of their application.
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References
Lord Rayleigh, Phil. Mag., 32, 424 (1891); Lord Rayleigh, Scientific Papers, 3, 473 (Cambridge, 1902).
Cox, D. R., and Miller, H. D., The Theory of Stochastic Processes (Methuen, London, 1965).
Bailey, N. J. T., The Elements of Stochastic Processes with Applications to the Natural Sciences (Wiley, New York, 1964).
Ramakrishnan, A., in Encyclopedia of Physics (edit. by Flügge, S.), III/2, 524 (Springer, Berlin, 1959).
Montroll, E. W., and Shuler, K. E., J. Chem. Phys., 26, 454 (1957); Adv. Chem. Phys., 1, 361 (1968).
Hoare, M. R., J. Chem. Phys., 41, 2356 (1964).
Wilson, D. J., J. Phys. Chem., 64, 323 (1960).
Hoare, M. R., and Thiele, E., Disc. Faraday Soct., 44, 30 (1967).
Vokenstein, M. V., Configurational Statistics of Polymer Chains, ch. 4 (Interscience, New York, 1963).
Florey, P. J., Statistical Mechanics of Chain Molecules, ch.3 (Interscience, New York, 1969).
Montroll, E. W., J. Chem. Phys., 18, 734 (1950); Newell, G. F., and Montroll, E. W., Rev. Mod. Phys., 25, 353 (1953).
Delbruck, M., J. Chem. Phys., 8, 120 (1940).
Bartholomay, A., Bull. Math. Biophys., 20, 175 (1958).
McQuarrie, D. A., Jachimowski, C. J., and Russell, M. E., J. Chem. Phys., 40, 2914 (1964).
Heyde, C. C., and Heyde, E., J. Theoret. Biol., 25, 159 (1969).
Hirth, J. P., and Pound, G. M., Condensation and Evaporation (Pergamon, Oxford, 1963).
White, G. M., J. Chem. Phys., 50, 4672 (1969).
Abraham, F. F., J. Chem. Phys., 51, 1632 (1969).
Goodrich, F. C., Proc. Roy. Soc., A, 277, 155, 167 (1964).
Williams, M. M. R., The Slowing-down and Thermalization of Neutrons (North-Holl and Amsterdam, 1966).
Felder, R. M., and Kostin, M. D., J. Chem. Phys., 43, 3082 (1965); Chapin, D. M., and Kostin, M. D., ibid., 46, 2506 (1967).
Wigner, E. P., and Wilkins, J. E., AEG Report D-2275 (1944).
Corngold, N., Michael, P., and Wollman, W., Nucl. Sci. and Eng., 15, 13 (1963); Kuščer, I., and Corngold, N., Phys. Rev., 139, A981 (1965).
Kuščer, I., and Williams, M. M. R., Phys. Fluids, 10, 1922 (1967).
Koppel, J. U., Nucl. Sci. and Eng., 16, 101 (1963).
Shapiro, C. S., and Corngold, N., Phys. Rev., 137, A1686 (1965).
Williams, M. M. R., Nucl. Sci. and Eng., 33, 262 (1968).
Rahman, M., and Sundaresan, M. K., Canad. J. Phys., 46, 2287 (1968).
Andersen, K., and Shuler, K. E., J. Chem. Phys., 40, 633 (1964).
Kramers, H. A., Physica, 7, 284 (1940).
Moyal, J. E., J. Roy. Stat. Soc., B, 11, 150 (1949).
Keilson, J., and Storer, J. E., Quart. J. Appl. Math., 10, 243 (1952).
Uhlenbeck, G. E., and Ornstein, L. S., Phys. Rev., 36, 823 (1930).
Wang, Ming Chen, and Uhlenbeck, G. E., Rev. Mod. Phys., 17, 323 (1945).
Lax, M., Rev. Mod. Phys., 32, 25 (1960).
Van Kampen, N. G., Canad. J. Phys., 39, 551 (1961).
Kramers, H. A., Physica, 7, 284 (1940).
Alkemade, C. T. J., Physica, 24, 1029 (1958).
Hoare, M. R., and Kaplinsky, C. H., J. Chem. Phys. (in the press).
Van Kampen, N. G., Fortsch. Phys., 4, 405 (1956); Van Kampen, N. G., Fundamental Problems in Statistical Mechanics (edit. by Cohen, E. G. D.) (North-Holland, Amsterdam, 1962).
Ehrenfest, P., and Ehrenfest, T., Phys. Z., 8, 311 (1907).
Kac, M., Bull. Amer. Math. Soc., 52, 621 (1946).
de la Peña Auerbach, L., and Garcia-Colin, L. S., J. Math. Phys., 9, 916, 922 (1968); de la Peña Auerbach, L., ibid., 10, 1620 (1969).
Purcell, E. M., and Pound, R. V., Phys. Rev., 81, 279 (1951).
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HOARE, M. Molecular Markov Processes. Nature 226, 599–603 (1970). https://doi.org/10.1038/226599a0
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DOI: https://doi.org/10.1038/226599a0
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