Abstract
The behavior of an impurity spin in a one-dimensional chain is investigated using the Glauber model. Two different types of impurities are considered and exact expressions for the average spin of the impurity, given that the impurity was initially excited out of equilibrium, are found. The behavior of these models is discussed in detail and their relevance to other physical situations is considered.
Similar content being viewed by others
References
R. J. Glauber as quoted by H. E. Stanley (personal communication).
R. J. Glauber,J. Math. Phys. 4:294 (1963).
D. Dhar and M. Barma,J. Stat. Phys. 22:259 (1977).
T. Schneider and E. Stoll,Phys. Rev. B 16:2220 (1977).
N. S. Gael,Biopolymers 6:55 (1968).
T. L. Hill,Proc. Nat. Acad. Sci. 74:3632 (1977).
M. Gitterman and V. Steinberg,J. Chem. Phys. 69:2763 (1978).
M. Suzuki and R. Kubo,J. Phys. Soc. Jpn 24:51 (1968).
B. U. Felderhof,Rep. Math. Phys. 1:215 (1971).
K. Kawasaki inPhase Transitions and Critical Phenomena, Chap. 11, C. Domb and M. S. Green, eds. (Academic Press, New York, 1972).
For example, see E. N. Economou,Green's Functions in Quantum Physics, (Springer Verlag, Berlin, 1979).
H. Stehfest,Comm. A.C.M. 13, 47, 624 (1970).
Author information
Authors and Affiliations
Additional information
This research was supported in part by the National Science Foundation.
Rights and permissions
About this article
Cite this article
Calef, D.F. Impurity dynamics in a one-dimensional chain. J Stat Phys 32, 81–94 (1983). https://doi.org/10.1007/BF01009421
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01009421