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arXiv · 1201.6215

Diffusivity of Rescaled Random Polymer in Random Environment in dimensions 1 and 2

Zi Sheng Feng
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Abstract

We show random polymer is diffusive in dimensions 1 and 2 in probability in an intermediate scaling regime. The scale is $β= o(N^{-1/4})$ in d=1 and $β=o((\log N)^{-1/2})$ in $d=2$ as $N\rightarrow \infty$.

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Zi Sheng Feng. 2012-01-30. Diffusivity of Rescaled Random Polymer in Random Environment in dimensions 1 and 2. https://arxiv.org/abs/1201.6215

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