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Kinetics of clusters in a binary linear system

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  • Hilhorst, H.J.

Abstract

We consider the stochastically time-dependent behaviour of a binary linear chain of N units at temperature T and in an external field H. The kinetics is described in terms of clusters (sequences) of specified numbers of units in the same state. A coarse-grained master equation for the cluster densities on the chain is derived by an approximation due to Felderhof. We calculate the relaxation time of fluctuations, and the zero-field frequency-dependent susceptibility, of the fraction of units in a given state. Our results are compared to the phenomenological theory of irreversible thermodynamics.

Suggested Citation

  • Hilhorst, H.J., 1975. "Kinetics of clusters in a binary linear system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 79(2), pages 171-200.
    • Handle: RePEc:eee:phsmap:v:79:y:1975:i:2:p:171-200
    DOI: 10.1016/0378-4371(75)90151-X
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    1. P.A. Narasimha Murthy, 1968. "Bertrand Russell. The Problem of China. London, George Allen and Unwin, 1966. Pp. 260. Price 25s," International Studies, , vol. 10(1-2), pages 224-225, January.
    2. Sawada, S., 1973. "Technological Stages in Agricultural Development, Their Determinants and Perspective," 1973 Conference, August 19-30, 1973, São Paulo, Brazil 181406, International Association of Agricultural Economists.
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