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. 1981 Jan;78(1):4-8.
doi: 10.1073/pnas.78.1.4.

Three-state, steady-state Ising systems: Monte Carlo and Bragg-Williams treatments

T L Hill  1 , Y D Chen
Affiliations

Three-state, steady-state Ising systems: Monte Carlo and Bragg-Williams treatments

T L Hill et al. Proc Natl Acad Sci U S A. 1981 Jan.

Abstract

In two earlier papers, the steady-state critical and phase-transition properties of a lattice of three-state enzyme molecules were studied by using the "closed" Bragg-Williams (BW), or mean field, approximation. The "open" BW and Monte Carlo methods are applied to the same problem in this paper by using finite lattices. The open BW treatment provides a way of locating the cut across a van der Waals type of loop encountered in a phase transition in the closed BW system. Thermodynamic-like methods cannot be used for this purpose as they can with two-state, steady-state systems.

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References

    1. Proc Natl Acad Sci U S A. 1980 Feb;77(2):693-7 - PubMed
    1. Proc Natl Acad Sci U S A. 1979 Mar;76(3):1014-7 - PubMed
    1. Proc Natl Acad Sci U S A. 1978 Nov;75(11):5260-3 - PubMed
    1. Proc Natl Acad Sci U S A. 1978 Jul;75(7):3015-8 - PubMed
    1. Proc Natl Acad Sci U S A. 1977 Oct;74(10):4111-5 - PubMed

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