Some comments on nonequilibrium phase transitions in chemical systems |
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Authors: | C Y Mou G Nicolis R M Mazo |
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Institution: | (1) Institute of Theoretical Science, University of Oregon, Eugene, Oregon;(2) Present address: Faculté des Sciences, Université Libre de Bruxelles, Brussels, Belgium |
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Abstract: | Two new approaches for investigating critical fluctuations near an instability point of unstable chemical models are proposed. The master equation approach is used. For a homogeneous system without the effect of diffusion, three single-component chemical systems exhibiting critical behavior are considered. The cumulant functions are expanded in a small parameter-the inverse size of the system-and singular perturbation solutions of the master equation are developed. Exponents describing the divergence of the second-order variance are found to be classical. For a system including diffusion effects, spatial correlations for a quasi-one-dimensional case are investigated by considering scale transformation behavior within the multivariate master equation formalism.This work was supported in part by NSF grants MPS-7411925 and CHE 76-05583. |
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Keywords: | Chemical reactions fluctuations instabilities master equation renormalization group singular perturbations |
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