Fluctuation exponents for directed polymers in the intermediate disorder\n regime

2013/12/02 by Gregorio R. Moreno Flores, Flores, Gregorio R. Moreno, Timo Seppäläinen +3
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

paper · pdf · doi:10.48550/arxiv.1312.0519

openalex publication_date 2013/12/02 · 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\ndirected polymers in random environment in the intermediate regime. This regime\ncorresponds to taking the inverse temperature to zero with the size of the\nsystem. The exponents satisfy the KPZ scaling relation and coincide with\nphysical predictions. In the critical case, we recover the fluctuation\nexponents of the Cole-Hopf solution of the KPZ equation in equilibrium and\nclose to equilibrium.\n

Citations

• Stochastic integrability and the KPZ equation

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