Abstract
We have extended the CTRW theory of Montroll and Weiss including the effect of extra variables, like the energy. This MCTRW scheme can be written in a simple matrix notation, that simplifies its solution. As an example of their usefulness we have studied a two-energy-group neutron diffusion problem. This has shown the peculiarities of the transient behaviour for the variance of the probability distribution, due to the coupling between the groups.
Similar content being viewed by others
References
Montroll, E.W., Weiss, G.H.: J. Math. Phys.6, 167 (1965)
Cáceres, M.O., Wio, H.S.: Random walk approach for neutron diffusion with strong absorption. Nucl. Instrum. methods (in press)
Scher, H., Montroll, E.W.: Phys. Rev. B12, 2455 (1975)
Pfister, G., Scher, H.: Adv. Phys.27, 747 (1978)
Ngai, K.L., Fu-Sui-Liu: Phys. Rev. B24, 1049 (1981)
Nelkin, M., Harrison, A.H.: Phys. Rev. B26, 6696 (1982)
Kenkre, V.M., Knox, R.S.: Phys. Rev. B9, 5279 (1974)
Beckurtz, K.H., Wirtz, K.: Neutron physics, p. 158. Berlin, Heidelberg, New York: Springer-Verlag 1964
Montroll, E.W., West, B.J.: On an enriched collection of stochastic processes. In: Fluctuation phenomena. Montroll, W., Lebowitz, J.L. (eds.). Amsterdam: North Holland Pub. Co. 1979
Landman, U., Montroll, E.W., Shlesinger, M.F.: Proc. Natl. Acad. Sci.74, 430 (1977)
Hara, H., Choi, S.D.: Z. Phys. B — Condensed Matter38, 351 (1980)
Shlesinger, M.F., Klafter, J., Wong, Y.M.: J. Stat. Phys.27, 513 (1982)
Feller, W.: An introduction to probability theory and its applications. Vol. 1, 2th Edn., p. 146. New York: John Wiley & Sons Inc. 1964
Williams, M.M.R.: Random processes in nuclear reactors. New York: Pergamon Press 1974
Haken, H.: Synergetics: an introduction. 2th Edn. Berlin, Heidelberg, New York: Springer-Verlag 1978
Author information
Authors and Affiliations
Additional information
Comisión Nacional de Energiá Atómica
Comisión Nacional de Energía Atómica and Universidad Nacional de Cuyo
Rights and permissions
About this article
Cite this article
Cáceres, M.O., Wio, H.S. Multienergetic continuous time random walk. Z. Physik B - Condensed Matter 54, 175–181 (1984). https://doi.org/10.1007/BF01388069
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01388069