Fluctuation exponents for directed polymers in the intermediate disorder regime

2013/12/02 by Gregorio R. Moreno Flores, Flores, Gregorio R. Moreno, Timo Seppäläinen +3 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math-ph #math.MP #math.PR

paper · pdf · doi:10.48550/arxiv.1312.0519

30 pages

arxiv created 2013/12/02 · openalex publication_date 2013/12/02 · arxiv updated 2013/12/03 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We compute the fluctuation exponents for a solvable model of one-dimensional directed polymers in random environment in the intermediate regime. This regime corresponds to taking the inverse temperature to zero with the size of the system. The exponents satisfy the KPZ scaling relation and coincide with physical predictions. In the critical case, we recover the fluctuation exponents of the Cole-Hopf solution of the KPZ equation in equilibrium and close to equilibrium.

Citations

• Stochastic integrability and the KPZ equation

Cited by

• High temperature limits for (1+1)-dimensional directed polymer with\n heavy-tailed disorder

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