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Time-dependent statistics of binary linear lattices

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Abstract

The time-dependent statistics of binary linear lattices is investigated on the basis of a master equation at the microscopic level. It is assumed that the kinetics may be formulated as transformations of specified sequences of clusters ofA units andB units into other specified sequences. On the basis of aStosszahlansatz, a master equation at the macroscopic level is derived. In the limit of a large system, the densities of clusters of all types satisfy rate equations similar to the equations of chemical kinetics. AnH-theorem is proven and the nonequilibrium thermodynamics of the system is studied. The theory has application to the kinetics of the helix-coil phase transition in biopolymers.

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Author notes

  1. B. U. Felderhof

    Present address: Department of Physics, Queen Mary College, University of London, London, England

Authors and Affiliations

  1. Institute for Theoretical Physics, Rijksuniversiteit, Utrecht, The Netherlands

    B. U. Felderhof

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  1. B. U. Felderhof
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Felderhof, B.U. Time-dependent statistics of binary linear lattices. J Stat Phys 6, 21–38 (1972). https://doi.org/10.1007/BF01060199

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  • DOI: https://doi.org/10.1007/BF01060199

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