### Abstract

We prove that the self-diffusion coefficient of a tagged particle in the symmetric exclusion process in Z^{d}, which is in equilibrium at density α, is of class C^{∞} as a function of α in the closed interval [0, 1]. The proof provides also a recursive method to compute the Taylor expansion at the boundaries.

Original language | English (US) |
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Pages (from-to) | 307-321 |

Number of pages | 15 |

Journal | Communications In Mathematical Physics |

Volume | 224 |

Issue number | 1 |

DOIs | |

State | Published - 2001 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Landim, C., Olla, S., & Varadhan, S. R. S. (2001). Symmetric simple exclusion process: Regularity of the self-diffusion coefficient.

*Communications In Mathematical Physics*,*224*(1), 307-321. https://doi.org/10.1007/s002200100513