Dynamical phase transition in the two-point functions of the autonomous one-dimensional single-species reaction-diffusion systems

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The evolution of the two-point functions of autonomous one-dimensional single-species reaction-diffusion systems with nearest-neighbor interaction and translationally-invariant initial conditions is investigated. It is shown that the dynamical phase structure of such systems consists of five phases. As an example, a one-parameter family is introduced which can be in each of these phases.
12 pages, 1 figure, LaTeX2e

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