Superdiffusivity of asymmetric exclusion process in dimensions one and two

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We prove that the diffusion coefficient for the asymmetric exclusion process diverges at least as fast as $t^{1/4}$ in dimension $d=1$ and $(\log t)^{1/2}$ in $d=2$. The method applies to nearest and non-nearest neighbor asymmetric exclusion processes.

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Probability, Mathematical Physics, 60K35; 82C20

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http://salesiana.dossiersoluciones.com/handle/123456789/63247

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0201317
 http://arxiv.org/abs/math/0201317

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arXiv