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Nonequilibrium phase transitions in chemical reactions
Authors:K J McNeil  D F Walls
Institution:(1) School of Science, University of Waikato, Hamilton, New Zealand
Abstract:The far from equilibrium steady states of a simple nonlinear chemical system are analyzed. A standard macroscopic analysis shows that the nonlinearity introduces an instability which causes a transition analogous to a thermodynamic second-order phase transition. Fluctuations are introduced into this model through a stochastic master equation approach. The solution of this master equation in the steady state reveals that the system goes into a more ordered state above the transition point. An analogy is drawn with the nonequilibrium phase transition occurring in the laser at threshold.Supported by a New Zealand U.G.C. Postgraduate Scholarship.
Keywords:Phase transitions  chemical kinetics  stochastic theory  master equations  fluctuations  nonequilibrium thermodynamics
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