Overlap, disorder, and directed polymers: A renormalization group approach.
Overlap, disorder, and directed polymers: A renormalization group approach.
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重叠、无序和定向聚合物：重正化群方法。
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
S. Mukherji
中科院分区：
文献类型：
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作者：
S. Mukherji
The overlap of a (d+1)-dimensional directed polymer of length t in a random medium is studied using a renormalization group approach. In densuremath{gtrsim}2 it vanishes at ${mathit{T}}_{mathit{c}}$ for tensuremath{
ightarrow}ensuremath{infty} as ${mathit{t}}^{mathrm{ensuremath{Sigma}}}$ where ensuremath{Sigma}=[(d-1)/(3-2d)](d/z) and z is the transverse spatial rescaling exponent. The same formula holds in d=1 for any finite temperature and it agrees with previous numerical simulations at d=1. This value of ensuremath{Sigma} for densuremath{gtrsim}2 is up to one loop but an exact scaling relation is obtained. We also obtain the scaling exponent for mutual repulsion of two chains in the random medium and the behavior of overlap around ${mathit{T}}_{mathit{c}}$.
The overlap of a (d+1)-dimensional directed polymer of length t in a random medium is studied using a renormalization group approach. In densuremath{gtrsim}2 it vanishes at ${mathit{T}}_{mathit{c}}$ for tensuremath{
ightarrow}ensuremath{infty} as ${mathit{t}}^{mathrm{ensuremath{Sigma}}}$ where ensuremath{Sigma}=[(d-1)/(3-2d)](d/z) and z is the transverse spatial rescaling exponent. The same formula holds in d=1 for any finite temperature and it agrees with previous numerical simulations at d=1. This value of ensuremath{Sigma} for densuremath{gtrsim}2 is up to one loop but an exact scaling relation is obtained. We also obtain the scaling exponent for mutual repulsion of two chains in the random medium and the behavior of overlap around ${mathit{T}}_{mathit{c}}$.