### Abstract

Random walks on state space partitions provide an abstract generic picture for the description of macroscopic fluctuations in heterogeneous systems such as proteins. We determine the average residence probability and the average distribution of residence times in a particular macroscopic state for the ensemble of random partitions of a one-dimensional state space. In particular, the probability that a walker remains in an open-state cluster decays in a manner that is slower than exponential but faster than a power law.

Original language | English (US) |
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Pages (from-to) | 4037-4047 |

Number of pages | 11 |

Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 54 |

Issue number | 4 |

DOIs | |

State | Published - 1996 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics

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## Cite this

Nadler, W., Huang, T., & Stein, D. L. (1996). Random walks on random partitions in one dimension.

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,*54*(4), 4037-4047. https://doi.org/10.1103/PhysRevE.54.4037