Hysteresis in one-dimensional reaction-diffusion systems.
We introduce a simple nonequilibrium model for a driven diffusive system with nonconservative reaction kinetics in one dimension. The steady state exhibits a phase with broken ergodicity and hysteresis which has no analog in systems investigated previously. We identify the main dynamical mode, viz., the random motion of a shock in an effective potential, which provides a unified framework for understanding phase coexistence as well as ergodicity breaking. This picture also leads to the exact phase diagram of the system.
Rákos
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A
Institut für Festkörperforschung, Forschungszentrum Jülich, 52425 Jülich, Germany.
Paessens
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M
Schütz
G M
GM