Hysteresis in one-dimensional reaction-diffusion systems

Details Hysteresis in one-dimensional reaction-diffusion systems Hysteresis in one-dimensional reaction-diffusion systems

2003-05-07

arxiv.org/abs/cond-mat/0305136v1

Phys. Rev. Lett. 91, 238302 (2003)

Physics

Condensed Matter

Statistical Mechanics

4 Pages, 5 figures

Scientific paper

10.1103/PhysRevLett.91.238302

We introduce a simple nonequilibrium model for a driven diffusive system with nonconservative reaction kinetics which exhibits ergodicity breaking and hysteresis in one dimension. These phenomena can be understood through a description of the dominant stochastic many-body dynamics in terms of an equilibrium single-particle problem, viz. the random motion of a shock in an effective potential. This picture also leads to the exact phase diagram of the system and suggests a new generic mechanism for "freezing by heating".

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