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

2024/06/12 by Victor Dotsenko, Dotsenko, Victor
Chemistry · #Advanced Polymer Synthesis and Characterization #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2406.07998

openalex publication_date 2024/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 to compute the scaling exponent θ of the free energy fluctuations as well as the left tail of its probability distribution function. It is argued that θ= 1/4 which is slightly different from the zero-temperature numerical value which is close to 0.241.

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