### Abstract

We prove the positivity of the self-diffusion matrix of interacting Brownian particles with hard core when the dimension of the space is greater than or equal to 2. Here the self-diffusion matrix is a coefficient matrix of the diffusive limit of a tagged particle. We will do this for all activities, z > 0, of Gibbs measures; in particular, for large z - the case of high density particles. A typical example of such a particle system is an infinite amount of hard core Brownian balls.

Original language | English |
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Pages (from-to) | 53-90 |

Number of pages | 38 |

Journal | Probability Theory and Related Fields |

Volume | 112 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 1 1998 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Analysis
- Statistics and Probability
- Statistics, Probability and Uncertainty

### Cite this

**Positivity of the self-diffusion matrix of interacting Brownian particles with hard core.** / Osada, Hirofumi.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Positivity of the self-diffusion matrix of interacting Brownian particles with hard core

AU - Osada, Hirofumi

PY - 1998/1/1

Y1 - 1998/1/1

N2 - We prove the positivity of the self-diffusion matrix of interacting Brownian particles with hard core when the dimension of the space is greater than or equal to 2. Here the self-diffusion matrix is a coefficient matrix of the diffusive limit of a tagged particle. We will do this for all activities, z > 0, of Gibbs measures; in particular, for large z - the case of high density particles. A typical example of such a particle system is an infinite amount of hard core Brownian balls.

AB - We prove the positivity of the self-diffusion matrix of interacting Brownian particles with hard core when the dimension of the space is greater than or equal to 2. Here the self-diffusion matrix is a coefficient matrix of the diffusive limit of a tagged particle. We will do this for all activities, z > 0, of Gibbs measures; in particular, for large z - the case of high density particles. A typical example of such a particle system is an infinite amount of hard core Brownian balls.

UR - http://www.scopus.com/inward/record.url?scp=0032166362&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032166362&partnerID=8YFLogxK

U2 - 10.1007/s004400050183

DO - 10.1007/s004400050183

M3 - Article

AN - SCOPUS:0032166362

VL - 112

SP - 53

EP - 90

JO - Probability Theory and Related Fields

JF - Probability Theory and Related Fields

SN - 0178-8051

IS - 1

ER -