## Abstract / Description of output

Systems driven out of equilibrium can often exhibit behaviour not seen in systems in thermal equilibrium - for example phase transitions in one-dimensional systems. In this talk I will review a simple model of a nonequilibrium system known as the 'zero-range process' and its recent developments. The nonequilibrium stationary state of this model factorises and this property allows a detailed analysis of several 'condensation' transitions wherein a finite fraction of the constituent particles condenses onto a single lattice site. I will then consider a more general class of mass transport models, encompassing continuous mass variables and discrete time updating, and present a necessary and sufficient condition for the steady state to factorise. The property of factorisation again allows an analysis of the condensation transitions which may occur.

Original language | English |
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Pages (from-to) | 859-869 |

Number of pages | 11 |

Journal | Pramana - Journal of Physics |

Volume | 64 |

Issue number | 6 |

Publication status | Published - Jun 2005 |

Event | 22nd IUPAP International Conference on Statistical Physics (STATPHYS 22) - Bangalore, India Duration: 4 Jul 2004 → 9 Jul 2004 |

## Keywords / Materials (for Non-textual outputs)

- nonequilibrium systems
- zero-range process
- factorised steady state
- condensation transitions
- ZERO-RANGE PROCESS
- RANDOM AVERAGE PROCESS
- PHASE-TRANSITIONS
- PARTICLE-SYSTEMS
- MODELS
- STATIONARY
- DYNAMICS