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.
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Received: 22 September 1997 / Revised version: 15 January 1998
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Osada, H. Positivity of the self-diffusion matrix of interacting Brownian particles with hard core. Probab Theory Relat Fields 112, 53–90 (1998). https://doi.org/10.1007/s004400050183
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DOI: https://doi.org/10.1007/s004400050183
- Mathematics Subject Classification (1991): 60K35
- 60J60
- 82C2