2023/10/03 by Angot Elric, Elric, Angot
Mathematics · Physics and Astronomy · #60F05 #60K35 #82B41 #FOS: Mathematics #G.3.2 #G.3.3 #G.3.4 #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2310.02009
openalex publication_date 2023/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Long linear polymers in a depinned interfaces environment have been studied for a long time, for instance in \citeCaravenna2009depinning when the temperature is constant. In this paper, we study an extension of this model by making the temperature and the distance between interfaces goes to infinity. We give a full phase diagram for this model, and show that a new behaviour appears in this extension. Our key tool include new sharp results on the simple random walk evolving between interfaces.