Literature DB >> 16592956

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

T L Hill1, Y D Chen.   

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.

Year:  1981        PMID: 16592956      PMCID: PMC318975          DOI: 10.1073/pnas.78.1.4

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN: 0027-8424            Impact factor:   11.205


  5 in total

1.  Properties of some three-state, steady-state Ising systems, according to the Bragg-Williams approximation.

Authors:  T L Hill; L Stein
Journal:  Proc Natl Acad Sci U S A       Date:  1980-02       Impact factor: 11.205

2.  Interacting enzyme systems at steady state: location of the phase transition in approximations of the mean field type.

Authors:  T L Hill; Y D Chen
Journal:  Proc Natl Acad Sci U S A       Date:  1978-07       Impact factor: 11.205

3.  Further study of the effect of enzyme-enzyme interactions on steady-state enzyme kinetics.

Authors:  T L Hill
Journal:  Proc Natl Acad Sci U S A       Date:  1977-10       Impact factor: 11.205

4.  Interacting enzyme systems at steady state: further Monte Carlo calculations on two-state molecules.

Authors:  T L Hill; Y D Chen
Journal:  Proc Natl Acad Sci U S A       Date:  1978-11       Impact factor: 11.205

5.  Approximate steady-state properties of lattices of interacting three-state enzyme molecules: a novel phase transition.

Authors:  T L Hill; L Stein
Journal:  Proc Natl Acad Sci U S A       Date:  1979-03       Impact factor: 11.205

  5 in total
  1 in total

1.  Application of the one- and two-dimensional Ising models to studies of cooperativity between ion channels.

Authors:  Y Liu; J P Dilger
Journal:  Biophys J       Date:  1993-01       Impact factor: 4.033

  1 in total

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