Scaling properties of (2+1) directed polymers in the low-temperature limit

被引：0
作者：
Dotsenko, Victor [1 ]
机构：
[1] Sorbonne Univ, LPTMC, Paris, France
来源：
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2024年 / 2024卷 / 10期
关键词：
cavity and replica method; fluctuation phenomena; polymers; FREE-ENERGY; EQUATION;
D O I：
10.1088/1742-5468/ad7dfb
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In terms of the replica method, we consider the low-temperature limit of (2+1) directed polymers in a random potential. The proposed approach allows us to compute the scaling exponent theta of the free energy fluctuations as well as the left tail of its probability distribution function. It is argued that theta=1/4, which is slightly different to the zero-temperature numerical value that is close to 0.241.
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页数：23
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