Positivity of the self-diffusion matrix of interacting Brownian particles with hard core (Q1271263)
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scientific article; zbMATH DE number 1221918
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positivity of the self-diffusion matrix of interacting Brownian particles with hard core |
scientific article; zbMATH DE number 1221918 |
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Positivity of the self-diffusion matrix of interacting Brownian particles with hard core (English)
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30 August 1999
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The paper deals with a class of interacting diffusion processes (typically interacting Brownian particles) with hard core. It is proved that the self-diffusion matrix of the diffusive limit of a tagged particle is positive when the dimension is greater than or equal to 2. The result also covers the case of high density of Gibbs measures. The key tool adopted in the paper is a variational formula, which goes back to H. Spohn (1990).
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interacting Brownian particle
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self-diffusion matrix
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Gibbs measure
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