# Hysteresis in one-dimensional reaction-diffusion systems

Source: [Hysteresis in one-dimensional reaction-diffusion systems](<https://www.sota2.com/research/paper/68fa26212c2a3760193b6dc4>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:09:37.332Z

Authors: A. Rakos, M. Paessens, G.M. Schuetz

Published: 2003-05-07T13:42:54.000Z

## Abstract

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".

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0305136>)

[PDF](<https://arxiv.org/pdf/cond-mat/0305136.pdf>)